SACCHIDANANDA SAMARTHA SADGURU SHRI SAINATHA KRIPA

SYSTEMATISATION

OF PRASTARA DETAILS

OF DESHI TALASWITH A FOREWORD BY

‘MAHAMAHOP ADHYAYA, RASHTRABHUSHANA’DR. R. SATHYANARAYANA

AKELLA MALLIKARJUNA SARMAViolinist,

Retd. Principal, Govt. College of Music & Dance,Hyderabad, Andhra Pradesh.

SAI SANNIDHI SANGITA PUBLICATIONS,10-283/9/1/1, Vasantapuri Colony (VPC-200), Malkajgiri,

HYDERABAD-500 047, Andhra Pradesh.Phone : 040-2705 4232, 99088 22992

SYSTEMATISATION OFPRASTARA DETAILS OF DESHI TALASby Akella Mallikarjuna Sharma

© Akella Mallikarjuna SharmaNo part of this publication may be reproducedor transmitted in any form or by any meanswithout the written permission of the author.

First Edition, 2003.

Price: Rs. 150/- US $ 10 (Packing & postage extra)

Laser type setting & printing by :Kaanthi Computer Data Systems,Somajiguda, Hyderabad-500 082.Ph: 040-2340 2010

Other works of this author :

* `åà◊„Ѩ™êÎ~° ~°̀ åflHõ~°=Ú ( ≥̀Å∞QÆ∞)

* Indian Genius in Talaprastara (English)

* Sangita Svararaga Sudha (Telugu/English)

* Talaprastara of Nisshanka Sharngadeva’s

Sangita Ratnakara - A critical interpretation(English)

* ã¨Ow «̀ q^•ºÉ’kèx ( ≥̀Å∞QÆ∞)

* ã¨Ow «̀ q^•ºÖ’K«x (=Ú„ Œ̂}=ÚÖ’ QÆÅ Œ̂∞)

PROFILE OF SHRI AKELLA MALLIKARJUNA SHARMA VIOLINIST AND MUSICOLOGIST.

Born in 1938, at Mummidivaram, East Godavari District, Andhrapradesh. Shri AkellaMallikarjuna Sharma had his initial training from his father Late Ashwatthanarayana Murthyand later under Shri P.P.Somayajulu. An ardent admirer and follower of Violin Virtuoso,Sangeetha Kalanidhi, Shri. M.S.Gopalakrishnan. Shri Mallikarjuna Sharma is one of thefew Violinists who adapted his inimitable style of playing the Violin. His close associationwith Sangeetha Kalanidhi, Shri Nedunuri Krishnamurthy opened up new vistas of traditionalKarnataka Music and henceforth became his disciple.

After a short stint as a staff Artist, All India Radio, Hyderabad, he worked for more thanthree decades as a Lecturer in Violin in various Government Colleges of Music & Danceof Andhra Pradesh since 1961. He rendered remarkable service as Principal for 12 yearsand retired in the year 1996. A strict disciplinarian and a committed teacher, Shri MallikarjunaSharma has produced several good students. His duties as a paper setter, valuator andexaminer for examinations held in various universities are commendable.

A ‘TOP GRADE’ Violinist of All India Radio, several of his programmes have been broadcaston AIR and Doordarshan respectively. He has had the privilege of participating in theAkashvani Sangeet Sammelan concerts and the National Programme of Music, AIR, whichwon him wide acclaim. He has also been a graded Vocal artist of AIR, Hyderabad. Hehas performed extensively across the country in various prestigious Sabhas including theMusic Academy, Madras. He has accompanied several eminent artists of the country. Hehas several solo programmes to his credit. He has toured the U.K, USA and Canadaaccompanying Sri Nedunuri Krishnamurthy. He has also toured Singapore as an examiner.

A musicologist of great repute, his contribution to Karnataka Music is laudable. Anunparalleled exponent and sole authority on Talaprastara, Shri Mallikarjuna Sharma has

unravelled the mysteries of Prastara, one of the Tala Dasha Pranas. His extensive researchspanning over four decades brought to light several latent secrets which he discovered allby himself. He has penned a few books .His first book ‘Talaprastara Sagara’published in1985 by the A.P.Sangeet Academy in the year 1985 received the ‘Best book’ (in the finearts category) from the Telugu University, Hyderabad. His second book ‘Permutative Geniusin Tala (Prastara) in Indian music’ was the revised version of the first book. In his extensiveresearch he has later modified and re-published these two books in the names of‘Talaprastara Ratnakara’ and ‘Indian Genius in Talaprastara’ respectively. He also published‘Talaprastara of Nisshanka Sharngadeva’s Sangeeta Rathnakara - A critical interpretation’,under the Senior fellowship awarded by the Government of India and ‘Systematization ofPrastara Details of Deshi Talas’. His books ‘Sangeetha Svararaga Sudha’ in Telugu andEnglish have uniquely dealt with the intricacies of Raga Alapana and Svarakalpana. Aperfectionist to the core, he has prescribed several Laya exercises which will help studentsin rendering Svarakalpana. He has sung Svarakalpana exercises and all the Ragas andprovided a set of four audio CDs (mp3) along with the books.

His recent publication, ‘Sangeeta Vidyabodhini’ is a compilation of compositions notatedand sung by him for the benefit of students appearing for the examinations held by theGovt Colleges of Music and Dance (A.P). A set of three mp3 CDs is provided along withthis book.

He has extensively toured all the Govt. Music Colleges in the state for two years conductingLecture-demonstrations and workshops. He has been invited for Lecture- demonstrationsand workshops all over the country by various institutions of music. Currently, ShriMallikarjuna Sharma is teaching several students. In addition, he guides students onlinefor the benefit of those inside and outside the country.

Shri Sharma has worked extensively on teaching methods. Having interacted with severalstudents over scores of years, he has evolved his own teaching methodology and hasprescribed several lessons. Though unconventional, his teaching methods are novel,innovative and highly effective. He has designed a CD which comprises of all the lessonsbeginning from the basic ‘Laya’ exercises to the Varnas in 481 audio tracks. This mp3 CDalso contains definition of Gamakas with illustrations. The most significant part is thedocumentation of the Gamakas and hence they are provided with symbols and audioclippings, which are of great help to aspiring students of music.

Copies can be obtained from:Akella Mallikarjuna Sharma,

10-283/9/1/1, Vasanthapuri Colony, Malkajgiri, Hyderabad-500047.Phones : 040-27054232, 99088 22992

i

FOREWARD

Mahamahopadhyaya, Rashtrabhooshana Trayeelakshmi,

Dr. R. Sathyanarayana, 9th Corss, 4th Main, Jayanagara,M.Sc., Ph.D., D.Litt., D.Litt (Hon)., MYSORE - 570 014, INDIA.F.R.A.S., F.A.M.R., F.A.S.I., M.S.A., I.C.T.M. Phone : (0821) 2567891Indira Gandhi Memorial Fellow. Date : 13-06-2003.

Sangeetha Vidwan Akella Mallikarjuna Sharma garu is a musician and teacher par excellence.He has also a passionate love for one branch of Sangeethashastra viz., Talaprastara. He is, further,consumed with a noble passion to share his knowledge and experience, especially with futuremusicians and teachers of music so that they could carry his torch for future generations. This isfortunate. He is that rare kind of musician who translates abstract and complex music theory ofTalaprastara, Svaragamaka and Ragalapana into highly practical and immediately usefulinformation which can enhance both the creative and scholarly skill of the performer, that may beactively demonstrated on the platform. It gives me pleasure to acknowledge that I am in a smallmeasure, a humble instrument in motivating him.

The present work, ‘Systematisation of Prastara details of Deshi talas’ is a logical sequel tothe author’s series of books on Talaprastara. He commenced his investigations into, and expositionof, Talaprastara with his ‘Indian Genius in Talaprastara’, discovered anomalies in the treatment ofthe subject by authorities such as Sharngadeva and went on to correct them in his second book.Further, he found certain errors in the serial numbers accorded to some Deshi Talas in the printedversions of the books by early authorities such as Parshvadeva (Sangeethasamayasara) andcomparatively recent authors such as Tacchur Singaracharya Brothers (Gayakalochanam). It cannotbe said whether these errors are traceable to the authors or to the copyists. Sri Sharmagaru haspointed out these errors and has proceeded to correct them by working out each instancesystematically from first principles of Nashta and Uddishta. He has also stated these principlesand procedures, thus enabling the reader to verify his method and results. The present book isbasically of academic interest and of indirect benefit to music practice. Its literary style sometimestends to be opaque.

Sri Sharmagaru deserves to be warmly congratulated on bringing the benefits ofSangeethashastra within easy and ready access of the performing musician, who can now evolveand employ his (own brand of) creative and scholarly skills in musical practice deriving them fromwhat was once regarded as an obscure, abstruse or purely intellectual item of music theory. Suchattempts to interpret theory to serve the cause of contemporary music are always welcome.

I hope that this book will reach discerning readers and experimentally inclined practicalexponents of music.

Sd/-

R. SATYANARAYANA

ii

PREFACE

All are aware that the Tala chapter of Indian music consists of ten elementswhich are called ‘Tala-dasha-pranas’ and they are 1.Kaala 2.Marga 3.Kriya 4.Anga5.Graha 6.Jati 7.Kala 8.Laya 9.Yati and 10.Prastara. Among the ten elements ofTala the last one, Prastara is the origin of all the rhythmical forms of the universeas mentioned by Vachanacharya Sudhakalasha of 14th century in his abridgededition ‘Sangitopanishatsaroddhara’:

“Sarveshaamapi taalaanaam prastaara maatrikaa mataaTasmaadaadau pravakshyaami prastaaram taala vriddhaye”

Thus, having mathematical basis, each and every rhythmical form of theuniverse consists of an authentic and specific serial number which is interlinkedwith its form.

In the annals of our Indian music literature there are only two treatises inwhich such serial numbers (though not serially) are furnished to some of the Talasfurn ished in i t a long wi th thei r names and Talangas. Among them‘Sangitasamayasara (Sanskrit)’ written around 12th century by Parshvadeva standsfirst. In it ‘52’ Talas are furnished along with names, Talangas and serial numbersalso and among them ‘25’ are found to be incorrect. And ‘Gayakalochanam(Telugu)’ written after a lapse of 800 years in 1902 by Tacchoor SingaracharyaBros., stands second. In it a new set of ‘158’ Talas is furnished along withnames, Talangas and serial numbers also and among them ‘43’ numbers are foundto be incorrect. The authenticity of such serial numbers could easily be obtainedin the process of Talaprastara. But, as the process of Prastara i.e., permutation islaborious and one life is not at all enough to go through all the innumerablerhythmical forms, some easy methods are made available in this element, Prastaraeither to obtain ‘the series of Talangas of a particular serial number of permutationin question’ or ‘the serial number of a permutation in question containing aparticular series of Talangas’ or ‘the total number of all the different denominationsof Talangas used upto a particular serial number of permutation in question’ whichare named as ‘Nashta, Uddishta and Kalita’ respectively. Basing upon theseeasy methods the incorrect serial numbers of these above Talas are found.

iii

After Parshvadeva, to avoid the embarrassment of furnishing such incorrectserial numbers to the Talas all the authors of other treatises have very convenientlyskipped off these serial numbers but furnished several lists of umpteen Talas oftheir own fancy even without hesitating to create Talas with their self-nameslike Nisshanka-tala, Sharngadeva-tala, Lakshminarayana-tala etc.

But, most unfortunately, no author of them had ever revealed these easymethods of Nashta or Uddishta or Kalita in an easily understandable manner tothe posterity. By all this, having totally lost the invaluable knowledge of the salientfeatures of this Prastara long long ago, presently nobody is aware enough torecognise these figures furnished by the above authors as serial numbers at all asthey have not been furnished serially.

To make aspirants aware of these serial numbers of Talas along with theseeasy methods of Nashta and Uddishta all these serial numbers of the above ‘210’Talas are taken into account and the different applications of these easy methodsare furnished here in detail for the benefit of the music world.

As this work is meant only to bring out the full details of these serial numbersof Talas furnished in these treatises, ‘Sangitasamayasara and Gayakalochanam’the needed details of this purpose only are furnished here. To obtain the full detailsof this chapter ‘Talaprastara’ the books 1.Talaprastara Ratnakaramu (Telugu)2.Indian Genius in Talaprastara (English) and 3.Talaprastara of NisshankaSharngadeva’s Sangita Ratnakara - a critical interpretation authored by me couldbe consulted.

I shall ever remain grateful to Dr. R. Sathyanarayana, the internationally reputedmusicologist and danceologist, for his able, kind, incessant and affectionate guidancealthrough my research and also for writing the ‘Foreword’ with his unfathomable depth ofknowledge.

Hyderabad AKELLA MALLIKARJUNA SHARMADate : 27-06-2003 Author

iv

IMPORTANT TECHNICAL-TERMS, ABBREVIATIONS & SIGNS

1. Prastara : Permutation.

2. Chaturanga-prastara: Quadrivalent-permutation.

3. Panchanga-prastara: Pentavalent-permutation.

4. Sankhya : The total number of permutations.

5. AP : Anudruta-permutation.

AEP : Anudruta-ending-permutation.

AAEP : All-anudruta-ending-permutation.

6. DP : Druta-permutation.

DEP : Druta-ending-permutation.

ADEP : All-druta-ending-permutation.

7. LEP : Laghu-ending-permutation.

8. GEP : Guru-ending-permutation.

9. PEP : Pluta-ending-permutation.

10. ASN : Answer-serial-number.

11. SF : Superiors’-figure i.e., the total of the proxieswhich are successfully subtracted and originatedsuperior Angas.

12. SS : Sangita Samayasara.

13. GL : Gayakalochanam.

14. + : Indication of the Superiors’-figure.

15. – : Indication of the proxy to be left-off.

16. X : Indication of un-deducted proxy.

v

CONTENTS

Page

1. Foreword i

2. Preface ii

3. Important technical-terms, abbreviations & signs. iv

5. Chapter-1 : Lists of Talas furnished inSangitasamayasara & Gayakalochanam 1

6. Chapter-2 : Talaprastara 12

7. Chapter-3 : Detailed work-out of Nashta of the‘52’ Talas furnished in ‘Sangitasamayasara’. 39

8. Chapter-4 : Detailed work-out of Nashta of the‘158’ Talas furnished in ‘Gayakalochanam’. 45

9. Chapter-5 : Detailed work-out of Uddishta of the‘52’ Talas furnished in ‘Sangitasamayasara’. 62

10. Chapter-6 : Detailed work-out of Uddishta of the‘158’ Talas furnished in ‘Gayakalochanam’. 65

1

CHAPTER-1Lists of talas furnished in

Sangitasamayasara & Gayakalochanam

In the annals of our music literature there are only two books on music in which the

serial numbers are furnished for the Tas prescribed in them and they are :

1. Sa g tasamayasra (Sanskrit) and 2. Gyakal chanam (Telugu).

The book 'Sa g tasamayasra' is written by Pr hvad va around 1165 A.D. In it 52

T as are furnished along with names, serial numbers and series of Tngas out of which

25 serial numbers are found incorrect.

The book 'Gyakal chanam' is written and published by Tacch r Si gar ch rya

Bros., in 1902. In it 158 Tas are furnished along with new names, serial numbers and

series of T gas out of which 43 serial numbers are found incorrect.

All the above mentioned Tas are furnished here. In respect of the correct or incorrect

T gas :

(a) they are shown in brackets if they are originally furnished contrarily than the required,

(b) the correct ones are shown just below the incorrect ones diagonally and

(c) the newly found correct ones are marked with an asterisk.

For example, in the Tas of 'Sa g tasamayasra':

(a) the 14th T a ' Ma ha' is originally furnished with the incorrect total value of the

series of T gas of 16-units instead of 8-units and so, the incorrect Tgas are

shown within brackets,

(b) the serial number '71' and the respective series of Tgas 'S O O O O S' of the 40th

T a 'Bindum li'contradict each other and so, the correct series of Tgas (O I I O

O O S) of the corresponding serial number '71'and the correct serial number (74) of

the corresponding series of T gas 'S O O O O S' are furnished just below

diagonally and

2

(c) the corresponding series of T gas of the 36th and 37th Tas 'Nandana and

Sr kandarpa' respectively, which are not at all furnished originally in the text, but

later found with the help of the easy method 'Nah a', are marked with an asterisk.

In the same manner other correct and incorrect versions could be identified and

understood.

TALAS FURNISHED IN “SANGIT ASAMAYASARA”

1. Prati (4-DP) - 5 - I002. Karanayati - 6 - 00003. Rati (6-DP) - 2 - IS4. Darpana - 3 - 00S

5. Madana - 4 - (00 )SI

6. Hamsalila - 5 - I IIII

7. Kudukka - 6 - 00II8. Varna - 15 - II009. Shat - 19 - 000000

10. Rajamriganka (7-DP) - 2 - 0IS11. Simhalila - 13 - I000I12. Rajamartanda - 18 - SI013. Chatuh - 18 - S000

28 - SI014. Mattha (8-DP) - 4 - (IISSII)

(also called Udikshana) IIS15. Lalita - 5 - 00IS

(also called Varnabhinna)16. Viravikrama - 7 - I00S17. Ranga - 8 - 0000S18. Gajalila - 13 - (IIII)

IIII19. Rajavidyadhara - 43 - IS0020. Mallikamoda - 56 - II0000

3

21. Anandavardhana (10-DP) - 3 - 00IS

22. Vishamakankala - 8 - ISS23. Khandakankala - 9 - (00S)

00SS24. Dhenki - 10 - SIS25. Mukunda - 14 - I00IS26. Abhinandana - 21 - II00S27. Samakankala - 28 - SSI28. Purnakankala - 33 - 0000SI29. Tribhinna (12-DP) - 2 - ISS

30. Kokilapriya - 3 - SIS

4 - 00SS

31. Udghatta - 8 - SSS22 - I00IS

32. Tribhangi - 7 - IISS(also called Ratilila) 23 - I0I S

33. Chachaputa - 10 - SIIS31 - 0S0S

34. Kanduka - 11 - IIIIS32 - 0II0S

35. Shrikirti - 19 - SSII107 - 000000S

36. Nandana - 18 - I0000S*37. Shrikandarpa - 25 - 0I0SS*

(also called Parikrama)38. Tryashravarna - 33 - I00IIS

35 - 00IIIS39. Vanamali - 60 - 0000I00S

69 - 00000I0S40. Bindumali - 71 - S0000S

74 - 0II000S41. Varnayati (16-DP) - 2 - II SS

42. Chanchaputa - 8 - SSIS28 - ISSS

4

43. Shriranga - 9 - IISI S

29 - 00SSS

44. Vijayananda - 20 - IISSS214 - S00SS

45. Shrotrimattha - 23 - SIISS222 - I000SS

46. Simhanada - 28 - ISSIS278 - SSIS

47. Ananga - 31 - I SIS296 - 0I0SIS

48. Jayamangala - 33 - IISIIS299 - 0000SIS

49. Pratyanga - 63 - SSSII1074 - 00I0I0IS

50. Hamsanada - 330 - I S00S

132 - 000II0IIS51. Rajachudamani - 450 - 00ISIS

- 30 - I00I0000IS52. Shatpitaputraka (24-DP) - 89 - SISSIS

2779 - SISISS

u u u

5

TALAS FURNISHED IN “GAYAKALOCHANAM”

Tala consisting of 1½ - Matras (3-DP) :1. Nati - 1 - 0I

Talas consisting of 2 - Matras (4-DP) :2. Natani - 3 - 00I3. Nartana - 5 - I00

Talas consisting of 2½ - Matras (5-DP) :4. Karamani - 4 - 000I5. Jayashri - 1 - 0S6. Shrikari - 3 - I0I

Talas consisting of 3 - Matras (6-DP) :7. Natanajna - 3 - 00S8. Natyamani - 8 - I00I9. Natanamani - 9 - 0000I

Talas consisting of 3½ - Matras (7-DP) :10. Natanimani - 1 - 00I0I

- 11 - 0S

11. Natyajivi - 3 - I0S12. Atitvarita - 12 - 0I00I13. Padadhvani - 9 - S0I

Talas consisting of 4 - Matras (8-DP) :14. Janavinuta - 26 - I0000I15. Vinodanatani - 25 - 0I000I16. Nartanapriya - 20 - I0I0I17. Natanavinodi - 8 - 0000S18. Charanaghattani - 21 - 000I0I19. Shringarakari - 22 - S00I

Talas consisting of 4½ - Matras (9-DP) :20. Shrikalapriya - 35 - I00I0I21. Nartanavinodi - 12 - I000S22. Sadanadamani - 37 - 0S00I23. Karadeshavasani - 43 - 00I000I

6

24. Charanayugadhvani - 36 - 0000I0I25. Janasammodini - 3 - 00S0I

30 - 000S

Talas consisting of 5 - Matras (10-DP) :26. Shankarahladini - 55 - I0S0I27. Layaparigrahini - 56 - 000S0I28. Bharatamunindravinuta - 181 - 0000I000029. Padayugaghattani - 65 - I000I0I30. Ghantanadamayi - 67 - S00I31. Karatadanadhvani - 63 - 00I0I0I32. Nandivadyavibhrama - 151 - I0I0I00

Talas consisting of 5½ - Matras (11-DP) :33. Bhringinatanapriya - 111 - S00I0I34. Arjunanirmitangi - 32 - I00I0S35. Trilokasancharini - 95 - 0I0S0I36. Vilasitapadacharini - 116 - 000000I0I37. Divyakusumasayaki - 115 - I0000I0I38. Nanajanakaramani - 144 - S00000I

Talas consisting of 6 - Matras (12-DP) :39. Rajendrasammodini - 172 - S0S0I40. Natanadomkarini - 174 - 00I0S0I41. Gandharvopakarini - 192 - (S0I0I)

S0I0I42. Chidambareshwaranatani - 258 - (0I0I000I)

0I0I0000I43. Vasudevanandini - 166 - I0S0I44. Rasikajananumodini - 200 - 0000I0I0I45. Rajarajaprasangi - 49 - I0S0S46. Kinnarabhamadarana - 217 - I00S00I47. Amarasannutajayashri - 73 - 000I000S48. Mridangavadyanukula - 365 - 0I0S0I049. Hamsanandagamani - 252 - S0000I

7

Talas consisting of 6½ - Matras (13-DP) :50. Menakatmajapramodini - 343 - I0S0I0I51. Vadhujanashrayadhimani - 361 - 0I0I00I0I52. Anandotsavadayini - 355 - S00I0I53. Anangahridayantarangi - 104 - 0I000I0S54. Shadvidhanatyanukarini - 293 - I00S0I55. Kaliyavishadharabhedini - 372 - I000000I0I56. Gangatarangashikharini - 455 - S0I0000I57. Padayugavinyastamani - 304 - 0000S0I

294 - 0S0S0I

Talas consisting of 7 - Matras (14-DP) :58. Rambhanatyanukulini - 613 - SS0I0I59. Tandavasampritikarini - 617 - I00S0I0I60. Agastyanirmitamohini - 552 - 0I0I0S0I61. Shivakamavaraprasadini - 334 - 00I00I0I0I

634 - 0I0SII62. Medinijanasantoshini - 557 - I0I00S0I63. Tripurantakapremamani - 528 - 00I0S0I64. Uttarakanyakabhyasini - 553 - I00I0S0I65. Anadinatyaprakashini - 616 - 0I0S0I0I66. Sahityarasanukulini - 632 - S00I0I0I67. Gajamukhanatanasamvardhani- 564 - 0000000S0I68. Gajagaminipadayukta - 155 - 00I0S0S69. Kantajanamanoharini - 559 - S000S0I70. Purandarvaraprabhamani - 635 - 0I000I0I0I

Talas consisting of 7½ - Matras (15-DP) :71. Virinchyanandasvarupini - 1093 - 0SS0I0I72. Gopikakridavilasini - 1091 - I0S0I0I73. Manmadhakelikavilolini - 1124 - I00I0I0I0I74. Atikathinanatanasvarupini - 1135 - 0000000I0I0I75. Venuganasamyuktamani - 937 - I0I0S0I76. Munijananandapradayini - 1092 - 000S0I0I77. Sanakasanandanasamtoshini - 994 - 0000I00S0I78. Sangitaprabandhavardhani - 1117 - S0I0I0I

8

Talas consisting of 8 - Matras (16-DP) :79. Sarasvatigaladvanamalini - 2307 - 0I0I0I00I0I

2069 - I0S0I00I80. Hastavinyastakramavadini - 2306 - I0S00I0I

2037 - 0IS0I00I81. Narayanashamkhanumodini - 1970 - S00S0I0I82. Gaurivallabhanirmitamani - 2017 - S00I0I0I83. Adibharatashastrapravinata - 1974 - I0000S0I0I84. Ishvaraprasadajanitanipuna - 2711 - I0I0I000000I85. Tandavakrishnamurthi-

natanabhara - 2680 - I00I0I00000I86. Sundaranganalasyacharini - 1968 - I0I0S0I0I87. Nartakadhijanahridayaranjani - 2130 - I00I00000I0I88. Parabhikarasvadhinasulabhini- 2582 - (00I00S0000)

00I00S0000I89. Bhamamanipadavivardhani - 630 - (S00S00SI)

S00S00S90. Devasurahladopacharini - 466 - S0S0S91. Keshavapadambhojanusarana- 2420 - I000S000I92. Keralavanitapadasarasija - 2584 - I0000S0000I93. Ramalalamapadacharini - 2511 - S0I0I0I0I

2011 - 00SI0I000I

Talas consisting of 8½ - Matras (17-DP) :94. Indushekharatandavadambari - 3148 - I0I00I0S0I95. Ravanahastavadyanuragini - 3517 - I00I0S0I0I96. Ranajabherivadyabhayamkari - 3640 - 0000S00I0I

Talas consisting of 9 - Matras (18-DP) :97. Tilottamanghrisaroruhamodini - 6601 - 0I0S0I00I0I98. Sangarapadaghattanashringarini- 5383 - I0000I0S0I99. Hanumadbharatalakshmana-

prakashini - 6443 - 00I000I0I0I0I

Talas consisting of 10 - Matras (20-DP) :100. Vishvambhararpita- - 5681 - S0I0S0I0S

karatalashobha

9

101. Naradadimunindrahridaya- sammodini - 18344 - I0I00I0000S0I

102. Shrigajagaminipadarunabhedakari- 24250 - I00I00S00I00I24105 - SS00I00I00I

103. Kaminjanapanchalasyahridimani- 21333 - I0I00S00I0I20833 - 0S0S000I0I

Talas consisting of 12 - Matras (24-DP) :104. Kalyanotsavasamayochita- - 212685 - S0000I0000I0I0I

varanatyakarini 212529 - I00I000I00000I0I0I105. Yamunatiravasabhamajana-

hridayamodini - 222262 - 00S0I0S00000I0I

TALA S PERTAINING TO TRISRA-JATI :106. Guni - 2 - U0107. Gunini - 3 - UU0108. Tandavashri - 4 - 0UI109. Natyajnabhushana - 60 - IU0U0110. Devasuramodini - 99 - IUIU0111. Shringarini - 9 - IU0112. Suranandini - 15 - UIU0113. Natanapramoda - 11 - UUOUI114. Natyavinoda - 5 - IUI115. Muniprasangi - 6 - U0UI116. Kalyanashilangi - 4 - IU S

117. Sadanandadayini - 19 - UIU0U0109 - I00I

118. Madhavanghrisaroruha - (386) - 0UIU0U195

119. Varabhajanasammodini - 1237 - 0UIUUIU0120. Venuvadyalilavinodini - 3040 - 0U0UIU0U0

2518 - 0UIUUOUUU0121. Gambhiravarasitarangeshunamni- 498 - IUIUUIUI

1418 - 00IU0II

10

122. Simhendramadhyama- - 1449 - IU0UUU0UI bhushanangi 927 - UI0IUI0

123. Dundubhivadyamani or - 2690 - 0USU0Pakshirajendrakriti 2168 - II0IUU0

124. Parameshanirmananamarupi - 9264 - UU0USU0U08742 - UUU00UUUUU0U0

125. Parvatimanojatanamakarini - 16479 - 0U0USU0U016355 - UUUUUU0UIU0U0

126. Trisramishrakhanda- - 485 - 0U0U0UIUI sankirnayukta 1405 - I0U00II

127. Bhishanakarajanitanandanotsava- 7548211 - 0USUUUUSU07446592 - UU0UU0U00SIIU0

128. Atyantasukshmamadhyama- - 10464 - IU0U0U0U0UI kritisumo 10862 - UUU0UUUUUU00UI

129. Angajanatyanusaranakaramani- 1174 - 0UUIUUUIUU09612 - U00UIUUII

130. Vedikamadyaikakshari - 651 - 0UIUIU0131. Garudapakshinamamani - 9824 - 0UUSUU0

9302 - UU0UUU000UU0132. Deveshadisurapramodini - 3514 - SUU0U0U0

31310 - U000UUUU0II133. Brahmadevanirmitakaramani - 93352 - 0U0U0USU0

92856 - 00UU0UU0SU0134. Devakritihamsakritimani - 1748 - 0UUUIUUU0

848 - U0I00UUU135. Rasakridavinodini - 383 - SU0U0136. Rajivapushpamalakritisunada - 3029 - IU0UIU0UI137. Shrikanthanatyamodanukula - 367 - IUSUI138. Kalharasumamalakritisubhadra- (7633) - IUUUSUUU

5891139. Yantralokalokadivyaparakarini - 26817 - 0USUSU0

26693 - U000UUUSU0140. Jajisuketakimadhava- - 244668 - IU0UIU0UIU0UI

supunnagamalikangi 242910 - UUII00I0U0UI

11

141. Shringarakarashobhitashri - 124467 - SSS00UUUU lakshmikatakshavikshamauda 6368486 - IU00UUUUUUU00US

142. Natanajanavajrayudha - 1258 - UUUUUUUUIU0143. Karacharanashabdakaramani - 27529 - UUUUUSUU0

17405 - 0U0IUUU000U144. Suravarakinnaramuninuta - 907 - UUUU0UUUUU0145. Bhikaradanujamadaharanamusala- 5105 - 0UUUUUUUUUUUU0

6025 - 0U0U0UIUU0146. Purandarapriyakriyabhedana- - 203354 - U0U0U0UIU0U0U0

pramodini 204302 - 00I0U000U0U0147. Angantarachaturashra - 51 - IUUUUI148. Mallayuddhasadhanapramoda- 2411 - 0U0U0U0UI

889 - 0S00U0149. Vikatanatajanakuthari - 191 - UUUUUUUUUI150. Vishamanatanapratapaskehari- 3861 - UUUUU0U0U0U0

4781 - UUUUU0U0UU00151. Jagadvijayataranatanashekhari- 4046 - U0UUUUUUUU0U0

4966 - U0UUUUUUUUU00152. Vilasalolakaramani - 9823 - U0USUU0

9301 - 00UUU000UU0153. Ativishadharauragendrakarini - 49914 - UUUUUUUUSU0

49666 - U0U0UUU0SU0154. Pralayakaloddanda-

chandamarutakarini - 1207856 - UUUSU0U0UIU01206456 - IU0UUU0IUU0UIU0

155. Shriparamamunindra- - 58541 - 0UUUU0UUUIU0U0 hridayahladakarini 57771 - 0U00UU0U0U0U0

156. Sankrandananandana- - 733987 - UU0UUUU0UU0UU0U0 varaputrasatinatanapriya 731163 - IIUUUU0UIUUU0U0

157. Hamsaturangadidevatapriya - 3847 - 0UUIU0U0U04767 - 0UUIU0UU00

158. Achyutanatyanrityanartana - 2874397 - 0UU0U0U0UUU0UUS0 -vichitralayabrahmajnani 2367841 - UU0USU00UUUI0

u u u

12

CHAPTER-2

Talaprastara

Rhythmical forms are innumerable and they all are the derivatives of thiselement, Prastara in which the Talangas are permuted into al l possiblecombinations in a systematic process to avoid repetition.

Taking the number of different Talangas used in the process of permutationinto account the modes of permutation are divided into four kinds and they are1.Chaturanga-prastara 2. Panchanga-prastara (only the first two kinds are neededto be furnished in this work) 3.Shadanga-prastara and 4.Samyuktanga-prastara.Each one of these modes of permutation has two main divisions namely1.Akhanda-prastara and 2.Khanda-prastara among which the Khanda-prastaraagain has two sub-divisions namely 1.Heena-prastara and 2.Yukta-prastara. Allthese divisions consist of two different processes of permutation namely1.Anuloma-prastara and 2.Voloma-prastara and two key-figures namely 1.Sankhyaand 2.Mahapatala which are the total number of permutations and the total numberof Talangas used in the process of permutation respectively.

Even without adopting the laborious process of permutation there are veryinteresting easy methods to obtain the above two key-figures of Sankhya andMahapatala and also to obtain ‘the series of Talangas of a particular serial numberof permutation in question’, ‘the serial number of a permutation in questioncontaining a particular series of Talangas’ and ‘the total number of all the differentdenominations of Talangas used upto a particular serial number of permutationin question’ which are named as ‘Nashta, Uddishta and Kalita’ respectively.Among them, while Nashta and Uddishta could be obtained through Sankhya,Kalita could be obtained through Sankhya and Mahapatala together.

In Chaturanga-prastara only four angas Druta, Laghu, Guru and Pluta areused in the process of permutation and this is restricted only to permute theTalangas pertaining to Chaturasra-jati. In Panchanga-prastara the five angasAnudruta, Druta, Laghu, Guru and Pluta are used in the process of permutationand this could be applied to permute the Talangas of all jatis. Only these twoprocesses of permutation are needed and furnished here.

13

SANKHYA

The total number of permutations obtained in the process of permutation iscalled ‘Sankhya’. Even without making the process of permutation at all thereare easy methods to obtain the details of Sankhya up to the required units ofpermutation and they are as follows.

Note: 1. In Chaturanga-prastara the unit-value of any permutation shouldalways be cited in terms of the least Anga, Druta i.e., 1-DP (One-druta-permutation or Eka-druta-prastara), 2-DP, 3-DP and so on andin Panchanga-prastara the unit-value of any permutation shouldalways be cited in terms of the least Anga, Anudruta i.e., 1-AP (One-anudruta-prastara or Eka-anudruta-prastarta), 2-AP, 3-AP and so on.

2. Among the total of ‘210’ Talas furnished along with serial numbers,as some of them are of Chaturashra-jati of Chaturanga-prastarapertaining to the maximum of ‘24-units (Drutas)’ and others are ofTrisra-jati of Panchanga-prastara pertaining to the maximum of ‘28-units (Anudrutas)’ the respective details of Sankhya up to themaximum limits of these units only are furnished here.

3. General-key-rule: Write figure ‘1’ invariably in the left of theextreme left house.

1. Chaturashra-jati-chaturanga-prastara: Write figure ‘1’ in the extremeleft of the first house as per the General-key-rule and later write the total ofthe figures of the existing preceding 1st, 2nd, 4th & 6 th houses which are, here-in-after, called ‘Proxies’ representing the Druta, Laghu, Guru and Plutarespectively carrying the unit values of 1-Druta, 2-Drutas, 4-Drutas and 6-Drutas respectively.

14

Units 1 2 3 4 5 6 7 8 9 10 11 12

Sankhya 1 1 2 3 6 10 19 33 60 106 191 340 610

13 14 15 16 17 18 19 20 21 22 23 24

1089 1950 3485 6236 11150 19946 35670 63802 114107 204091 365018 652857

Table of Akhanda-prastara : Chaturashra-jati-chaturanga-prastara:

House 1st 2nd 4th 6th Total

Sl. No. Proxy Proxy Proxy Proxy Sankhya

1 1 – – – 1

2 1 1 – – 2

3 2 1 – – 3

4 3 2 1 – 6

5 6 3 1 – 10

6 10 6 2 1 19

7 19 10 3 1 33

8 33 19 6 2 60

9 60 33 10 3 106

10 106 16 19 6 191

11 191 106 33 10 340

12 340 191 60 19 610

13 610 340 106 33 1089

14 1089 610 191 60 1950

15 1950 1089 340 106 3485

16 3485 1950 610 191 6236

17 6236 3485 1089 340 11150

18 11150 6236 1950 610 19946

19 19946 11150 3485 1089 35670

20 35670 19946 6236 1950 63802

21 63802 35670 11150 3485 114107

22 114107 63802 19946 6236 204091

23 204091 114107 35670 11150 365018

24 365018 204091 63802 19946 652857

Details of the table of Akhanda-prastara

15

2. Trisra-jati-panchanga-prastara: Write figure ‘1’ in the extreme left ofthe first house as per the General-key-rule and later write the total of thefigures of the existing preceding 1st, 2nd, 3rd, 6th & 9 th houses which are called‘Proxies’ representing the Anudruta, Druta, Laghu, Guru and Plutarespectively carrying the unit-values of 1-Anudruta, 2-Anudrutas, 3-Anudrutas, 6-Anudrutas and 9-Anudrutas respectively.

House 1st 2nd 3rd 6th 9th Total

Sl.No. Proxy Proxy Proxy Proxy Proxy Sankhya

1 1 – – – – 1

2 1 1 – – – 2

3 2 1 1 – – 4

4 4 2 1 – – 7

5 7 4 2 – – 13

6 13 7 4 1 – 25

7 25 13 7 1 – 46

8 46 25 13 2 – 86

9 86 46 25 4 1 162

10 162 86 46 7 1 302

11 302 162 86 13 2 565

12 565 302 162 25 4 1058

13 1058 565 302 46 7 1978

14 1978 1058 565 86 13 3700

15 3700 1978 1058 162 25 6923

16 6923 3700 1978 302 46 12949

17 12949 6923 3700 565 86 24223

18 24223 12949 6923 1058 162 45315

19 45315 24223 12949 1978 302 84767

20 84767 45315 24223 3700 565 158570

21 158570 84761 45315 6923 1058 296633

22 296633 158570 84767 12949 1978 554897

23 554897 296633 158670 24223 3700 1038023

24 1038023 554897 296633 45315 6923 1941791

25 1941791 1038023 554897 84767 12949 3632427

26 3632427 1941791 1038023 158570 24223 6795034

27 6795034 3632427 1941791 296633 45315 12711200

28 12711200 6795034 3632427 554897 84767 23778325

Details of the table of Akhanda-prastara

16

Table of Akhanda-prastara : Trisra-jati-panchanga-prastara:

Units 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Sankhya 1 1 2 4 7 13 25 46 86 112 302 575 1058 1978 3700

15 16 17 18 19 20 21 22 23 24 25 26 27 28

6923 12949 24223 45315 84767 158570 296633 554897 1038023 1941791 3632427 6795034 12711200 23778325

Unit-wise table of Sankhya ofChaturashra-jati-panchanga & Trisra-jati-shadanga-prastaras

Chaturashra-jati of Chaturanga-prastara Units Trisra-jati of Panchanga-prastara

1 1

1 1 1

2 2 2

3 3 4

6 4 7

10 5 13

19 6 25

33 7 46

60 8 86

106 9 162

191 10 302

340 11 565

610 12 1058

1087 13 1978

1950 14 3700

3485 15 6923

6236 16 12949

11150 17 24223

19946 18 45315

35670 19 84767

63802 20 158570

114107 21 296633

204091 22 554897

365018 23 1038023

652857 24 1941791

25 3632427

26 6795034

27 12711200

28 23778325

17

NASHTA

Note: In the easy methods of Nashta and Uddishta there is the facility not onlyto check the serial number of any rhythmical form but also to cross-checkit again. So, to facilitate both the check and cross-check the full detailsof all these ‘210’ Talas are furnished under both Nashta and Uddishtaand the readers can simultaneously tally each other the respective detailsof any rhythmical form under each head of both Nashta and Uddishta.

Entirely avoiding the laborious process of permutation, the process toobtain the required series of Talangas of a Tala containing a particularserial number of prastara in question is called Nashta.

Rules for answering Akhanda-nashta:

1. Write the Sankhya line of figures up to the required units of permutation.

2. Subtract the question number from Sankhya and later from the remaindersubtract only the respective proxies consecutively and possibly.

3. If the 1st proxy is not subtracted write the Anga representing the 1st proxyitself and the same process should be continued until a proxy is subtractedsuccessfully.

4. If the 1st proxy is subtracted write the Anga representing the 2nd consecutiveproxy and leave off the 2nd consecutive proxy. But, for the consecutivesubtraction of two proxies write, in total, the Anga representing the 3rd

consecutive proxy and leave off the 4th consecutive proxy. But, for theconsecutive subtraction of three proxies write, in total, the Anga representingthe 4th consecutive proxy and leave off the 4th consecutive proxy. But, forthe consecutive subtraction of four proxies write, in total, the Angarepresenting the 5th consecutive proxy and leave off the 5th consecutive proxy.In this manner for the consecutive subtraction of more number of proxieswrite, in total, the Anga representing the immediate next consecutive proxyof the last consecutive proxy and leave off its proxy. In case of the absenceof either the remainder or the proxy or both the process of subtraction endsand no proxy needs to be left off.

18

5. After getting (i) an un-deducted proxy or (ii) a left-off proxy, to write furtherAngas, the process of subtraction again starts from the beginning subtractingthe respective proxies of the un-deducted or left-off proxy from the remaindercarefully observing the relevant rules and restrictions, if any (in the processof Nashta furnished in this work while the un-deducted proxies are indicated inround brackets the left-off proxies are indicated in square brackets and the left-offproxies in the left extreme of any prastara are omitted in the details).

6. If either the remainder or the proxy or both are absent one or more inferior(least) Angas (Drutas in respect of Chaturanga-prastara and Anudrutas inrespect of Panchanga-prastara) should only be written to fill-in the deficitvalue of units of the prastara.

Examples of Nashta:

SS-5.Madana - 4 - (0 0 S) S l

As per the version furnished by the author this Tala consists of Pluta andtwo Drutas carrying a total of (12+2+2=) 16-units thus pertaining to 8-DP. Butthe author had started this list of Talas with two permutations of 4-DP and laterfurnished seven Talas of 6-DP. So, as this Tala is in the series of Talas pertainingto 6-DP this tala should also be of 6-DP but not of 8-DP at all.

So, now, as per rule No.1 as this Tala is of 6-DP having the Sankhya of ‘19’write the Sankhya line of figures up to the 6-DP (refer table).

Later, as per rule No.2, subtract the question number, ‘4’ of the Tala fromthe Sankhya, ‘19’ and the remainder is (19-4=) ‘15’.

From the above remainder, as the 1st proxy, ‘10’ could only be subtracted(15-10=5) write the Anga, Laghu representing the 2nd consecutive proxy andleave off the second 2nd consecutive proxy, ‘6’ as per rule No.4.

Later, as per rule No.5, from the last remainder, as the 1st & 2nd proxies, ‘3& 2’ of the last left-off proxy ‘6’, could consecutively be subtracted (5-3=2-2=0)write, in total, the Anga, Guru representing the 3rd consecutive proxy as per ruleNo.4. Thus, the correct answer series of Angas of this prastara, ‘S l’ is furnished diagonally.

19

SS-6.Hamsaleela - 5 - IIIII

As per the version furnished by the author this Tala consists of two Laghu-viramas carrying a total of (6+6=) ‘12-units’.

So, now, as per rule No.1, as this Tala is of 6-DP having the Sankhya of ‘19’write the Sankhya line of figures up to the 6-DP (refer table).

Later, as per rule No.2, subtract the question number, ‘5’ of the Tala fromthe Sankhya, ‘19’ and the remainder is (19-5=) ‘14’.

From the above remainder, as the 1st proxy, ‘10’ could be subtracted (14-10=4) write the Anga, Laghu representing the 2nd consecutive proxy and leaveoff the second 2nd consecutive proxy, ‘6’ as per rule No.4.

Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘3’ of thelast left-off proxy, ‘6’ could again be subtracted (4-3=1) write again another Laghurepresenting the 2nd consecutive proxy and leave off the second 2nd consecutiveproxy, ‘2’ as per rule No.4.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘1’ ofthe last left-off proxy, ‘2’ could be subtracted (1-1=0) write again still anotherLaghu representing the 2nd consecutive proxy as per rule No.4. Thus, the correctanswer series of Angas of this Prastara, ‘l l l’ is furnished diagonally.

SS-51.Rajachudamani – 450 – 0 0 l S l S

30 – l 0 0 l 0 0 0 0 l S :

As per the version furnished by the author the serial number and thecorresponding Angas of the Tala do not tally each other. So, basing upon theeasy methods of Nashta & Uddishta the correct serial number of the incorrectseries of Angas and vice-versa of this Tala are found and the Nashta portion isworked out and furnished here.

As per rule No.1, as this Tala is of 16-DP having the Sankhya of ‘6236’write the Sankhya line of figures up to the required units of permutation (refer table).

As per rule No.2 the remainder is (6236-450=) ‘5786’.

20

From the above remainder, as the 1st & 2nd proxies, ‘3485 & 1950’ couldconsecutively be subtracted (5786-3485=2301-1950=351) write, in total, the 3rd

consecutive Anga, Guru and leave off the third 4th consecutive proxy, ‘610’ asper rule No.4.

Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘340’ ofthe last left-off proxy, ‘610’ could be subtracted (351-340=11) write the 2nd

consecutive Anga, Laghu and leave off the second 2nd consecutive proxy, ‘191’as per rule No.4.

Now, again as per rule No.5, from the last remainder, as four figures of the1st proxies, ‘106, 60, 33 & 19’ of the last left-off proxy, ‘191’ could notconsecutively be subtracted write four Drutas consecutively representing these1st proxies as per rule No.3.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘10’of the un-deducted last proxy, ‘19’ could be subtracted (11-10=1) write the 2nd

consecutive Anga, Laghu and leave off the second 2nd consecutive proxy, ‘6’ asper rule No.4.

Now, again as per rule No.5, from the last remainder, as two figures of the 1st proxies,‘3 & 2’ of the last left-off proxy, ‘6’ could not consecutively be subtracted write twoDrutas consecutively representing these 1st proxies as per rule No.3.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘1’ ofthe un-deducted last proxy, ‘2’ could be subtracted (1-1=0) write the 2nd

consecutive Anga, Laghu as per rule No.4. Thus, the series of Angas of thisprastara, ‘l 0 0 l 0 0 0 0 l S’ is furnished here diagonally.

Now, basing upon the process of Uddishta worked out elsewhere, havingalso found the correct serial number of the incorrect series of Angas of this Talafurnished by the author, the corresponding process of Nashta of the same also isfurnished hereunder.

As per rule No.2 the remainder is (6236-30=) ‘6206’.

From the above remainder, as the 1st, 2nd & 4 th proxies, ‘3485, 1950 & 610’could consecutively be subtracted (6206-3485=2721-1950=771-610=161) write,

21

in total, the 4th consecutive Anga, Pluta and leave off the fourth 6th consecutiveproxy, ‘191’ as per rule No.4.

Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘106’ ofthe last left-off proxy, ‘191’ could be subtracted (161-106=55) write the 2nd

consecutive Anga, Laghu and leave off the second 2nd consecutive proxy, ‘60’ asper rule No.4.

Now, again as per rule No.5, from the last remainder, as the 1st & 2nd proxies,‘33 & 19’ of the last left-off proxy, ‘60’ could consecutively be subtracted (55-33=22-19=3) write, in total, the 3rd consecutive Anga, Guru and leave off thethird fourth consecutive proxy, ‘6’ as per rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘3’ ofthe last left-off proxy, ‘6’ could be subtracted (3-3=0) write the 2nd consecutiveAnga, Laghu as per rule No.4.

The two Drutas, being the least Angas of this mode of permutation, remainingin the left extreme should always be presumed that they have been written onlyfill-in the deficit value of the permutation. Thus, the series of Angas of thisprastara, ‘0 0 l S l S’ is furnished here diagonally.

GL-79.Sarasasvathigaladvanamalini – 2307 – 0 l 0 l 0 l 0 0 l 0 l

2069 - l 0 S 0 l 0 0 l

As per the version furnished by the author the serial number and thecorresponding Angas of the Tala do not tally each other. So, basing upon the easymethods of Nashta & Uddishta the correct serial number of the incorrect series ofAngas and vice-versa of this Tala are found and the Nashta portion is worked outand furnished here.

As per rule No.1, as this Tala is of 16-DP having the Sankhya of ‘6236’ write theSankhya line of figures up to the required units of permutation (refer table).

As per rule No.2 the remainder is (6236-2307=) ‘3929’.

From the above remainder, as the 1st proxy, ‘3485’ could be subtracted (3929-3485=444) write the 2nd consecutive Anga, Laghu and leave off the second 2nd

consecutive proxy, ‘1950’ as per rule No.4.

22

Later, as per rule No.5, from the last remainder, as two figures of the 1st

proxies, ‘1089 & 610’ of the last left-off proxy, ‘1950’ could not consecutivelybe subtracted write two Drutas consecutively representing these 1st proxies asper rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘340’of the last left-off proxy, ‘610’ could be subtracted (444-340=104) write the 2nd

consecutive Anga, Laghu and leave off the second 2nd consecutive proxy, ‘191’as per rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘106’of the last left-off proxy, ‘191’ could not be subtracted write Druta representingthe 1st proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st, 2nd & 4 th

proxies, ‘60, 33 & 10’ of the last un-deducted proxy, ‘106’ could consecutivelybe subtracted (104-60=44-33=11-10=1) write, in total, the 4th consecutive Anga,Pluta and leave off the fourth 6th consecutive proxy, ‘3’ as per rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘2’ ofthe last left-off proxy, ‘3’ could not be subtracted write Druta representing the 1st

proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘1’ ofthe last left-off proxy, ‘2’ could be subtracted (1-1=0) write the 2nd consecutiveAnga, Laghu as per rule No.4. Thus, the series of Angas of this prastara, ‘l 0 S 0l 0 0 l’ is furnished here diagonally.

Now, basing upon the process of Uddishta worked out elsewhere, havingalso found the correct serial number of the incorrect series of Angas of this Talafurnished by the author, the corresponding process of Nashta of the same also isfurnished hereunder.

As per rule No.2 the remainder is (6236-2069=) ‘4167’.

From the above remainder, as the 1st proxy, ‘3485’ could be subtracted (4167-3485=682) write the 2nd consecutive Anga, Laghu and leave off the second 2nd

consecutive proxy, ‘1950’ as per rule No.4.

23

Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘1089’ ofthe last left-off proxy, ‘1950’ could not be subtracted write Druta representingthe 1st proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘610’of the last un-deducted proxy, ‘1089’ could be subtracted (682-610=72) write the2nd consecutive Anga, Laghu and leave off the second 2nd consecutive proxy, ‘340’as per rule No.4.

Later, again as per rule No.5, from the last remainder, as two figures of the1st proxies,

‘191 & 106’ of the last left-off proxy, ‘340’ could not consecutively besubtracted write two Drutas consecutively representing these 1st proxies as perrule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘60’of the last un-deducted proxy, ‘106’ could be subtracted (72-60=12) write the 2nd

consecutive Anga, Laghu and leave off the second 2nd consecutive proxy, ‘33’ asper rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘19’of the last left-off proxy, ‘33’ could not be subtracted write Druta representingthe 1st proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘10’ of the lastun-deducted proxy, ‘19’ could be subtracted (12-10=2) write the 2nd consecutive Anga,Laghu and leave off the second 2nd consecutive proxy, ‘6’ as per rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘3’ ofthe last left-off proxy, ‘6’ could not be subtracted write Druta representing the 1st

proxy as per rule No.3.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘2’ ofthe last un-deducted proxy, ‘3’ could be subtracted (2-2=0) write the 2nd

consecutive Anga, Laghu as per rule No.4.

The Druta, being the least Anga of this mode of permutation, remaining inthe left extreme should always be presumed that it has been written only fill-in

24

the deficit value of the permutation. Thus, the series of Angas of this prastara, ‘0l 0 l 0 l 0 0 l 0 l’ is furnished here diagonally.

GL-127. Bhishanakara- 7548211 – 0 U S U U U U S U 0 janitanandanotsava – 7446592 – U U 0 U U 0 U 0 0 S l l U 0

As per the version furnished by the author the serial number and thecorresponding Angas of the Tala do not tally each other. So, basing upon theeasy methods of Nashta & Uddishta the correct serial number of the incorrectseries of Angas and vice-versa of this Tala are found and the Nashta portion isworked out and furnished here.

As per rule No.1, as this Tala is of 28-UP having the Sankhya of ‘23778325’ writethe Sankhya line of figures up to the required units of permutation (refer table).

As per rule No.2 the remainder is (23778325-7548211=) ‘16230114’.

From the above remainder, as the 1st proxy, ‘12711200’ could be subtracted(16230114-12711200 =3518914) write the 2nd consecutive Anga, Druta and leaveoff the second 2nd consecutive proxy, ‘6795034’ as per rule No.4.

Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘3632427’of the last left-off proxy, ‘6795034’ could not be subtracted write Anudrutarepresenting the 1st proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st & 2nd proxies,‘1941791 & 1038023’ of the last un-deducted proxy, ‘3632427’ could besubtracted (3518914-1941791=1577123-1038023=539100) write, in total, the 3rd

consecutive Anga, Laghu and leave off the third 3rd consecutive proxy, ‘554897’as per rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st & 2nd proxies,‘296633 & 158570’ of the last left-off proxy, ‘554897’ could be subtracted(539100-296633=242467-158570=83897) write, in total, the 3rd consecutive Anga, Laghuand leave off the third 3rd consecutive proxy, ‘84767’ as per rule No.4.

Now, again as per rule No.5, from the last remainder, as the 1st, 2nd & 3 rd

proxies, ‘45315, 24223 & 12949’ of the last left-off proxy, ‘84767’ couldconsecutively be subtracted (83897-45315=38582-24223=14359-12949=1410)

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write, in total, the 4th consecutive Anga, Guru and leave off the fourth 6th

consecutive proxy, ‘565’ as per rule No.4.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘302’ of thelast left-off proxy, ‘565’ could be subtracted (352-302=50) write the 2nd consecutive Anga,Druta and leave off the second 2nd consecutive proxy, ‘162’ as per rule No.4.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘86’of the last left-off proxy, ‘162’ could not be subtracted write Anudruta representingthe 1st proxy as per rule No.3.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘46’ of the lastun-deducted proxy, ‘86’ could be subtracted (50-46=4) write the 2nd consecutive Anga,Druta and leave off the second 2nd consecutive proxy, ‘25’ as per rule No.4.

Now, again as per rule No.5, from the last remainder, as two consecutivefigures of the 1st proxies, ‘13 & 7’ of the last left-off proxy, ‘25’ could notconsecutively be subtracted write two Anudrutas consecutively representing the1st proxies as per rule No.3.

Later, again as per rule No.5, from the last remainder, as the 1st proxy, ‘4’ ofthe un-deducted last proxy, ‘7’ could be subtracted (4-4=0) write the 2nd

consecutive Anga, Druta as per rule No.4.

The two Anudrutas, being the least Angas of this mode of permutation,remaining in the left extreme should always be presumed that they have beenwritten only fill-in the deficit value of the permutation. Thus, the series of Angasof this prastara, ‘U U 0 U U 0 U 0 0 S l l U 0’ is furnished here diagonally.

Now, basing upon the process of Uddishta worked out elsewhere, havingalso found the correct serial number of the incorrect series of Angas of this Talafurnished by the author, the corresponding process of Nashta of the same also isfurnished hereunder.

As per rule No.2 the remainder is (23778325-7446592=) ‘16331733’.

From the above remainder, as the 1st proxy, ‘12711200’ could be subtracted(16331733-12711200=3620533) write the 2nd consecutive Anga, Druta and leaveoff the second 2nd consecutive proxy, ‘6795034’ as per rule No.4.

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Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘3632427’of the last left-off proxy, ‘6795034’ could not be subtracted write Anudrutarepresenting the 1st proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st, 2nd , 3rd & 6 th

proxies, ‘1941791, 1038023, 554897 & 84767’ of the last un-deducted proxy,‘3632427’ could consecutively be subtracted (3620533-1941791=1678742-1038023=640719-554897 =85822-84767=1055) write, in total, the 5th consecutive Anga,Pluta and leave off the fifth 9th consecutive proxy, ‘12949’ as per rule No.4.

Later, again as per rule No.5, from the last remainder, as four figures of the1st proxies,

‘6923, 3700, 1978 & 1058’ of the last left-off proxy, ‘12949’ could notconsecutively be subtracted write four Anudrutas consecutively representing these1st proxies as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st, 2nd , 3rd & 6 th

proxies, ‘565, 302, 162 & 25’ of the un-deducted last proxy, ‘1058’ couldconsecutively be subtracted (1055-565=490-302=188-162=26-25=1) write, intotal, the 5th consecutive Anga, Pluta and leave off the fifth 9th consecutive proxy,‘4’ as per rule No.4.

Later, as per rule No.5, from the last remainder, as the 1st proxy, ‘2’ of thelast left-off proxy, ‘4’ could not be subtracted write Anudruta representing the 1st

proxy as per rule No.3.

Now, again as per rule No.5, from the last remainder, as the 1st proxy, ‘1’ ofthe last un-deducted proxy, ‘2’ could be subtracted (1-1=0) write the 2nd

consecutive Anga, Druta as per rule No.4. Thus, the series of Angas of thisprastara, ‘0 U S U U U U S U 0’ is furnished here diagonally.

The same should be applied to all other Talas and tallied with Uddishta.

UDDISHTA

Entirely avoiding the laborious process of permutation, the process to obtainthe required serial number of a rhythmical form containing a particular series ofTalangas in question is called ‘Uddishta’.

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Rules for answering Akhanda-uddishta:

As per rules governing Akhanda-nashta the un-deducted proxies alwaysoriginate the inferior (least) Angas and the successfully subtracted proxies alwaysoriginate the superior Angas. In a question series of Talangas of a prastara thetotal of the proxies which are successfully subtracted and originated superiorAngas forms the Superiors’-figure (SF). Subtract this SF from the respectiveSankhya and the remainder is the answer-serial-number (ASN) of the prastara.

A tabular form along with a system to arrive at Uddishta is furnished hereto make the process easier. In this table the respective vertical lines of thesuccessfully subtracted proxies are indicated by the symbol ‘+ (plus)’, the left-off proxies by ‘- (minus)’, the un-deducted proxies by ‘x’ and the respectiveSankhya by ‘: (colon)’. Among them the total of the proxies pertaining to thevertical lines indicated by the symbol ‘+ (plus)’ form the SF. This SF should besubtracted from the respective Sankhya and the remainder is the answer-serial-number (ASN) of the prastara.

Always, as the least Angas, Anudrutas/Drutas remaining in the left extremeof any prastara should be presumed that they are written only to fill-in the deficitvalue of the prastara, such Anudrutas/Drutas should never be taken into accountwhile arriving at the SF. Such Anudrutas/Drutas or left-off proxies in the leftextreme of the prastara are not indicated by any symbol as they are not needed atall to be taken into account.

Examples of Uddishta:

SS-5.Madana - 4 - (0 0 S) S l

As already explained previously in the examples of Nashta the 4th prastarapertaining to 6-DP consists of Laghu and Guru and this is tallied with Uddishtahereunder.

In the process of Uddishta, as the first Laghu, the 2nd consecutive Anga, isobtained by the successful subtraction of the 1st proxy, ‘10’ after which the second2nd consecutive proxy, ‘6’ has to be left-off, ‘+’ is indicated in the vertical linepertaining to this 1st proxy, ‘10’, being the SF (Superiors’-figure) and ‘-’ is

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indicated in the vertical line pertaining to the second 2nd consecutive proxy, ‘6’representing the proxy to be left-off.

Again, as the next Guru, the 3rd consecutive Anga. is obtained by thesuccessful consecutive subtraction of the 1st & 2nd proxies, ‘3 & 2’ of the lastleft-off proxy, ‘6’, ‘+’ is indicated in both the vertical lines pertaining to these1st & 2nd proxies, ‘3 & 2’, being the SFs.

Thus, the SF i.e., the total (10+3+2=) ‘15’ of the proxies of the verticallines in which ‘+’ is marked should be subtracted from the respective Sankhya,‘19’ of which vertical line ‘: ’ is marked and the remainder (19-15=) ‘4’ is theASN i.e., answer-serial-number of this Tala. They are furnished in the rightextreme as 15/4.

SS-6.Hamsaleela - 5 - IIIII

As already explained previously in the examples of Nashta the 5th prastarapertaining to 6-DP consists of ‘l l l’ and this is tallied with Uddishta hereunder.

In the process of Uddishta, as the first Laghu, the 2nd consecutive Anga, isobtained by the successful subtraction of the 1st proxy, ‘10’ after which the second2nd consecutive proxy, ‘6’ has to be left-off, ‘+’ is indicated in the vertical linepertaining to this 1st proxy, ‘10’, being the SF (Superiors’-figure) and ‘-’ isindicated in the vertical line pertaining to this second 2nd consecutive proxy, ‘6’representing the proxy to be left-off.

Later, the second Laghu, the 2nd consecutive Anga, is also obtained by thesuccessful subtraction of the 1st proxy, ‘3’ of the last left off proxy, ‘6’ afterwhich the second 2nd consecutive proxy, ‘2’ has to be left-off, ‘+’ is indicated inthe vertical line pertaining to this 1st proxy, ‘3’, being the SF (Superiors’-figure)and ‘-’ is indicated in the vertical line pertaining to this second 2nd consecutiveproxy, ‘2’ representing the proxy to be left-off.

Again, the third Laghu, the 2nd consecutive Anga, is also obtained by thesuccessful subtraction of the 1st proxy, ‘1’ of the last left-off proxy, ‘2’, ‘+’ isindicated in the vertical line pertaining to this 1st proxy, ‘1’, being the SF(Superiors’-figure).

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Thus, the SF i.e., the total (10+3+1=) ‘14’ of the proxies of the verticallines in which ‘+’ is marked should be subtracted from the respective Sankhya,‘19’ of which vertical line ‘: ’ is marked and the remainder (19-14=) ‘5’ is theASN i.e., answer-serial-number of this Tala. They are furnished in the rightextreme as 14/5.

SS-51.Rajachudamani – 450 – 0 0 l S l S30 – l 0 0 l 0 0 0 0 l S :

As per the version furnished by the author the serial number and thecorresponding Angas of the Tala do not tally each other. So, basing upon the easymethods of Nashta & Uddishta the correct serial number of the incorrect series ofAngas and vice-versa of this Tala are found and the Uddishta portion is workedout and furnished here.

As already explained previously in the examples of Nashta the 450th & 30th

prastaras pertaining to 16-DP consist of ‘l 0 0 l 0 0 0 0 l S & 0 0 l S l Œ’respectively and this is tallied with Uddishta hereunder.

In the process of Uddishta, as the first Guru, the 3rd consecutive Anga, isobtained by the successful consecutive subtraction of the 1st & 2nd proxies, ‘3485& 1950’, after which the third 4th consecutive proxy, ‘610’ has to be left-off, ‘+’is indicated in the vertical lines pertaining to these 1st & 2nd proxies, ‘3485 &1950’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertainingto this third 4h consecutive proxy, ‘610’ representing the proxy to be left-off.

Later, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘340’ of the last left-off proxy, ‘610’,after which the second 2nd consecutive proxy, ‘191’ has to be left-off, ‘+’ isindicated in the vertical lines pertaining to this 1st proxy i.e., ‘340’, being the SF(Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second2nd consecutive proxy, ‘191’ representing the proxy to be left-off.

Later, as the next four Drutas, the least Angas, are obtained by theconsecutive non-subtraction of four 1st proxies, ‘106, 60, 33 & 19’ of the lastleft-off proxy, ‘191’, ‘x’ is indicated in the vertical lines pertaining to these four1st proxies, ‘106, 60, 33 & 19’ representing the inferiors’ figures.

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Now, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘10’ of the un-deducted last proxy, ‘19’,after which the second 2nd consecutive proxy, ‘6’ has to be left-off, ‘+’ is indicatedin the vertical lines pertaining to this 1st proxy, ‘10’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second 2nd

consecutive proxy, ‘6’ representing the proxy to be left-off.

Again, as the next two Drutas, the least Angas, are obtained by theconsecutive non-subtraction of two 1st proxies, ‘3 & 2’ of the last left-off proxy,‘6’,‘x’ is indicated in the vertical lines pertaining to these two 1st proxies, ‘3 & 2’representing the inferiors’ figures.

Now, as the last Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘1’ of the un-deducted last proxy, ‘2’, ‘+’is indicated in the vertical line pertaining to this 1st proxy, ‘1’, being the SF(Superiors’-figure).

Thus, the SF i.e., the total (3485+1950+340+10+1=) ‘5786’ of the proxiesof the vertical lines in which ‘+’ is marked should be subtracted from the respectiveSankhya ‘6236’ of which vertical line ‘: ’ is marked and the remainder (6236-5786=) ‘450’ is the ASN i.e., answer-serial-number of this Tala. They arefurnished in the right extreme as 5786/450.

Now, the process of Uddishta to find the correct serial number of the incorrectseries of Angas of this Tala furnished by the author is also furnished here.

In the process of Uddishta, as the first Pluta, the 4th consecutive Anga, isobtained by the successful consecutive subtraction of the 1st, 2nd & 4 th proxies,‘3485, 1950 & 610’, after which the fourth 6th consecutive proxy, ‘191’ has to beleft-off, ‘+’ is indicated in the vertical lines pertaining to these 1st, 2nd & 4 th

proxies, ‘3485, 1950 & 610’, being the SF (Superiors’-figure) and ‘-’ is indicatedin the vertical l ine pertaining to this fourth 6h consecutive proxy, ‘191’representing the proxy to be left-off.

Later, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘106’ of the last left-off proxy, ‘191’,after which the second 2nd consecutive proxy, ‘60’ has to be left-off, ‘+’ is indicated

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in the vertical lines pertaining to this 1st proxy, ‘106’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second 2nd

consecutive proxy, ‘60’ representing the proxy to be left-off.

Now, as the next Guru, the 3rd consecutive Anga, is obtained by the successfulconsecutive subtraction of the 1st & 2nd proxies, ‘33 & 19’ of the last left-offproxy, ‘60’, after which the third 4th consecutive proxy, ‘6’ has to be left-off,‘+’ is indicated in the vertical lines pertaining to these 1st & 2nd proxies, ‘33 &19’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical linepertaining to this third 4th consecutive proxy, ‘6’ representing the proxy to beleft-off.

Later, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘3’ of the last left-off proxy, ‘6’, ‘+’ isindicated in the vertical lines pertaining to this 1st proxy, ‘3’, being the SF(Superiors’-figure).

Now, the last two Drutas, the inferior Angas, remaining in the left extreme shouldalways be presumed that they are written only to fill-in the deficit value of the prastara.

Thus, the SF i.e., the total (3485+1950+610+106+33+19+3=) ‘6206’ of theproxies of the vertical lines in which ‘+’ is marked should be subtracted from therespective Sankhya, ‘6236’ of which vertical line ‘: ’ is marked and the remainder(6236-6206=) ‘30’ is the ASN i.e., answer-serial-number of this Tala. They arefurnished in the right extreme as 6206/30.

GL-79. Sarasasvathigaladvanamalini –2307 – 0 l 0 l 0 l 0 0 l 0 l

2069 - l 0 S 0 l 0 0 l

As per the version furnished by the author the serial number and thecorresponding Angas of the Tala do not tally each other. So, basing upon theeasy methods of Nashta & Uddishta the correct serial number of the incorrectseries of Angas and vice-versa of this Tala are found and the Uddishta portion isworked out and furnished here.

As already explained previously in the examples of Nashta the 2307th &

2069th prastaras pertaining to 16-DP consist of ‘l 0 S 0 l 0 0 l & 0 l 0 l 0 l 0 0 l 0l’ respectively and this is tallied with Uddishta hereunder.

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In the process of Uddishta, as the first Laghu, the 2nd consecutive Anga, isobtained by the successful subtraction of the 1st proxy, ‘3485’, after which thesecond 2nd consecutive proxy, ‘1950’ has to be left-off, ‘+’ is indicated in thevertical line pertaining to this 1st proxy, ‘3485’, being the SF (Superiors’-figure)and ‘-’ is indicated in the vertical line pertaining to this second 2nd consecutiveproxy, ‘1950’ representing the proxy to be left-off.

Later, as the next two Drutas, the least Angas, are obtained by the consecutivenon-subtraction of two 1st proxies, ‘1089 & 610’ of the last left-off proxy, ‘1950’,‘x’ is indicated in the vertical lines pertaining to these two 1st proxies, ‘1089 &610’ representing the inferiors’ figures.

Now, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘340’ of the un-deducted last proxy, ‘610’,after which the second 2nd consecutive proxy, ‘191’ has to be left-off, ‘+’ isindicated in the vertical line pertaining to this 1st proxy, ‘340’, being the SF(Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second2nd consecutive proxy, ‘191’ representing the proxy to be left-off.

Later, as the next Druta, the least Anga, is obtained by the non-subtractionof the 1st proxy, ‘106’ of the last left-off proxy, ‘191’, ‘x’ is indicated in thevertical line pertaining to this 1st proxy, ‘106’ representing the inferiors’ figure.

Now, as the next Pluta, the 4th consecutive Anga, is obtained by the successfulconsecutive subtraction of the 1st, 2nd & 4 th proxies, ‘60, 33 & 10’ of the last un-deducted proxy, ‘106’, after which the fourth 6th consecutive proxy, ‘3’ has tobe left-off, ‘+’ is indicated in the vertical lines pertaining to these 1st, 2nd & 4 th

proxies, ‘60, 33 & 10’, being the SF (Superiors’-figures) and ‘-’ is indicated inthe vertical line pertaining to this fourth 6th consecutive proxy, ‘3’ representingthe proxy to be left-off.

Later, as the next Druta, the least Anga, is obtained by the non-subtractionof the 1st proxy, ‘2’ of the last left-off proxy, ‘3’, ‘x’ is indicated in the verticalline pertaining to this 1st proxy, ‘2’ representing the inferiors’ figure.

Now, as the last Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘1’ of the last un-deducted proxy, ‘2’, ‘+’

33

is indicated in the vertical line pertaining to this 1st proxy, ‘1’, being the SF(Superiors’-figure).

Thus, the SF i.e., the total (3485+340+60+33+10+1=) ‘3929’ of the proxiesof the vertical lines in which ‘+’ is marked should be subtracted from the respectiveSankhya, ‘6236’ of which vertical line ‘: ’ is marked and the remainder (6236-3929=) ‘2307’ is the ASN i.e., answer-serial-number of this Tala. They arefurnished in the right extreme as 3929/2307.

Now, the process of Uddishta to find the correct serial number of the incorrectseries of Angas of this Tala furnished by the author is also furnished here.

In the process of Uddishta, as the first Laghu, the 2nd consecutive Anga, isobtained by the successful subtraction of the 1st proxy, ‘3485’, after which thesecond 2nd consecutive proxy, ‘1950’ has to be left-off, ‘+’ is indicated in thevertical line pertaining to this 1st proxy, ‘3485’, being the SF (Superiors’-figure)and ‘-’ is indicated in the vertical line pertaining to this second 2nd consecutiveproxy, ‘1950’ representing the proxy to be left-off.

Later, as the next Druta, the least Anga, is obtained by the non-subtractionof the 1st proxy, ‘1089’ of the last left-off proxy, ‘1950’, ‘x’ is indicated in thevertical line pertaining to this 1st proxy, ‘1089’ representing the inferiors’ figure.

Now, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘610’ of the last un-deducted proxy, ‘1089’,after which the second 2nd consecutive proxy, ‘340’ has to be left-off, ‘+’ isindicated in the vertical line pertaining to this 1st proxy, ‘610’, being the SF(Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second2nd consecutive proxy, ‘340’ representing the proxy to be left-off.

Later, as the next two Drutas, the least Angas, are obtained by the consecutivenon-subtraction of two 1st proxies, ‘191 & 106’ of the last left-off proxy, ‘340’,‘x’ is indicated in the vertical lines pertaining to these two 1st proxies, ‘191 &106’ representing the inferiors’ figures.

Now, as the next Laghu, the 2nd consecutive Anga, is obtained by the successfulsubtraction of the 1st proxy, ‘60’ of the un-deducted last proxy, ‘106’, after which thesecond 2nd consecutive proxy, ‘33’ has to be left-off, ‘+’ is indicated in the vertical

34

line pertaining to this 1st proxy, ‘60’, being the SF (Superiors’-figure) and ‘-’ isindicated in the vertical line pertaining to this second 2nd consecutive proxy, ‘33’representing the proxy to be left-off.

Later, as the next Druta, the least Anga, is obtained by the non-subtractionof the 1st proxy, ‘19’ of the last left-off proxy, ‘33’, ‘x’ is indicated in the verticalline pertaining to this 1st proxy, ‘19’ representing the inferiors’ figure.

Now, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘10’ of the last un-deducted proxy, ‘19’,after which the second 2nd consecutive proxy, ‘6’ has to be left-off, ‘+’ is indicatedin the vertical line pertaining to this 1st proxy, ‘10’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second 2nd

consecutive proxy, ‘6’ representing the proxy to be left-off.

Later, as the next Druta, the least Anga, is obtained by the non-subtractionof the 1st proxy, ‘3’ of the left-off proxy, ‘6’, ‘x’ is indicated in the vertical linepertaining to this 1st proxy, ‘3’ representing the inferiors’ figure.

Now, as the next Laghu, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘2’ of the last un-deducted proxy, ‘3’, ‘+’is indicated in the vertical lines pertaining to this 1st proxy, ‘1’, being the SF.

Later, the last Druta, the inferior Anga, remaining in the left extreme shouldalways be presumed that it is written only to fill-in the deficit value of the prastara.

Thus, the SF i.e., the total (3485+610+60+10+2=) ‘4167’ of the proxies ofthe vertical lines in which ‘+’ is marked should be subtracted from the respectiveSankhya, ‘6236’ of which vertical line ‘: ’ is marked and the remainder (6236-4167=) ‘2069’ is the ASN i.e., answer-serial-number of this Tala. They arefurnished in the right extreme as 4167/2069.

GL-127. Bhishanakara- 7548211 – 0 U S U U U U S U 0 janitanandanotsava – 7446592 – U U 0 U U 0 U 0 0 S l l U 0

As per the version furnished by the author the serial number and the correspondingAngas of the Tala do not tally each other. So, basing upon the easy methods of Nashta &Uddishta the correct serial number of the incorrect series of Angas and vice-versa ofthis Tala are found and the Uddishta portion is worked out and furnished here.

35

As already explained previously in the examples of Nashta the 7548211 &7446592 prastaras pertaining to 28-UP consist of ‘U U 0 U U 0 U 0 0 S l l U 0

& 0 U S U U U U S U 0 l’ respectively and this is tallied with Uddishta hereunder.

In the process of Uddishta, as the first Druta, the 2nd consecutive Anga, isobtained by the successful subtraction of the 1st proxy, ‘12711200’, after whichthe second 2nd consecutive proxy, ‘6795034’ has to be left-off, ‘+’ is indicated inthe vertical line pertaining to this 1st proxy, ‘12711200’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second 2nd

consecutive proxy, ‘6795034’ representing the proxy to be left-off.

Later, as the next Anudruta, the least Anga, is obtained by the non-subtraction of the1st proxy, ‘3632427’ of the last left-off proxy, ‘6795034’, ‘x’ is indicated in the verticalline pertaining to this 1st proxy, ‘3632427’ representing the inferiors’ figure.

Now, as the next Laghu, the 3rd consecutive Anga, is obtained by thesuccessful consecutive subtraction of the 1st & 2nd proxies, ‘1941791& 1038023’of the last un-deducted proxy, ‘3632427’, after which the third 3rd consecutiveproxy, ‘554897’ has to be left-off, ‘+’ is indicated in the vertical lines pertainingto these 1st & 2nd proxies, ‘1941791 & 1038023’, being the SF (Superiors’-figure)and ‘-’ is indicated in the vertical line pertaining to this third 3rd consecutiveproxy, ‘554897’ representing the proxy to be left-off.

Later, as the next Laghu, the 3rd consecutive Anga, is obtained by the successfulconsecutive subtraction of the 1st & 2nd proxies, ‘296633 & 158570’ of the last left-offproxy, ‘5548897’, after which the third 3rd consecutive proxy, ‘84767’ has to be left-off,‘+’ is indicated in the vertical lines pertaining to these 1st & 2nd proxies, ‘296633 & 158570’,being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to thisthird 3rd consecutive proxy, ‘84767’ representing the proxy to be left-off.

Now, as the next Guru, the 3rd consecutive Anga, is obtained by the successfulconsecutive subtraction of the 1st, 2nd & 3rd proxies, ‘45315, 24223 & 12949’ ofthe last left-off proxy, ‘84767’, after which the third 3rd consecutive proxy, ‘1978’has to be left-off, ‘+’ is indicated in the vertical lines pertaining to these 1st, 2nd &3rd proxies, ‘45315, 24223 & 12949’, being the SF (Superiors’-figure) and ‘-’ isindicated in the vertical line pertaining to this third 3rd consecutive proxy, ‘1978’representing the proxy to be left-off.

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Later, as the next Druta, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘1058’ of the last left-off proxy ‘1978’,after which the second 2nd consecutive proxy, ‘565’ has to be left-off, ‘+’ isindicated in the vertical line pertaining to this 1st proxy, ‘1058’, being the SF(Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second2nd consecutive proxy, ‘565’ representing the proxy to be left-off.

Later, as the next Druta, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘302’ of the last left-off proxy, ‘565’,after which the second 2nd consecutive proxy, ‘162’ has to be left-off, ‘+’ isindicated in the vertical line pertaining to this 1st proxy, ‘302’, being the SF(Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second2nd consecutive proxy, ‘162’ representing the proxy to be left-off.

Later, as the next Anudruta, the least Anga, is obtained by the non-subtractionof the 1st proxy, ‘86’ of the last left-off proxy, ‘162’, ‘x’ is indicated in the verticalline pertaining to this 1st proxy, ‘86’ representing the inferiors’ figure.

Later, as the next Druta, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘46’ of the last un-deducted proxy, ‘86’,after which the second 2nd consecutive proxy, ‘25’ has to be left-off, ‘+’ is indicatedin the vertical lines pertaining to this 1st proxy, ‘46’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second 2nd

consecutive proxy, ‘25’ representing the proxy to be left-off.

Later, as the next two Anudrutas, the least Angas, are obtained by theconsecutive non-subtraction of two 1st proxies, ‘13 & 7’ of the last left-off proxy,‘25’, ‘x’ is indicated in the vertical lines pertaining to these 1st proxies, ‘13 & 7’representing the inferiors’ figures.

Later, as the next Druta, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘4’ of the un-deducted last proxy, ‘7’, ‘+’is indicated in the vertical lines pertaining to this 1st proxy, ‘46’, being the SF(Superiors’-figure).

Later, the last two Anudrutas, the inferior Angas, remaining in the leftextreme should always be presumed that they are written only to fill-in the deficitvalue of the prastara.

37

Thus, the SF i.e., the total (12711200+ 1941791+ 1038023+296633+158570+ 45315+ 24223 +12949+1058+302+46+4=) ‘16230114’ of the proxiesof the vertical lines in which ‘+’ is marked should be subtracted from the respectiveSankhya, ‘23778325’ of which vertical line ‘: ’ is marked and the remainder(23778325-16230114=) ‘7548211’ is the ASN i.e., answer-serial-number of thisTala. They are furnished in the right extreme as 16230114/ 7548211.

Now, the process of Uddishta to find the correct serial number of the incorrectseries of Angas of this Tala furnished by the author is also furnished here.

In the process of Uddishta, as the first Druta, the 2nd consecutive Anga, isobtained by the successful subtraction of the 1st proxy, ‘12711200’, after whichthe second 2nd consecutive proxy, ‘6795034’ has to be left-off, ‘+’ is indicated inthe vertical line pertaining to this 1st proxy, ‘12711200’, being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertaining to this second 2nd

consecutive proxy, ‘6795034’ representing the proxy to be left-off.

Later, as the Anudruta, the least Anga, is obtained by the non-subtraction ofthe 1st proxy, ‘3632427’ of the last left-off proxy, ‘6795034’, ‘x’ is indicated inthe vertical line pertaining to this 1st proxy, ‘3632427’ representing the inferiors’figure.

Now, as the next Pluta, the 5th consecutive Anga, is obtained by the successfulconsecutive subtraction of the 1st, 2nd, 3rd & 6th proxies, ‘1941791, 1038023, 554897& 84767’ of the last un-deducted proxy, ‘3632427’, after which the fifth 9th

consecutive proxy, ‘12949’ has to be left-off, ‘+’ is indicated in the vertical linespertaining to these 1st, 2nd, 3rd & 6th proxies, ‘1941791, 1038023, 554897 & 84767’,being the SF (Superiors’-figure) and ‘-’ is indicated in the vertical line pertainingto this fifth 9th consecutive proxy, ‘12949’ representing the proxy to be left-off.

Later, as the four Anudutas, the least Angas, are obtained by the consecutivenon-subtraction of four 1st proxies, ‘6923, 3700, 1978 & 1058’ of the last left-offproxy, ‘12949’, ‘x’ is indicated in the vertical lines pertaining to these 1st proxies,‘6923, 3700, 1978 & 1058’ representing the inferiors’ figures.

Now, as the next Pluta, the 5th consecutive Anga, is obtained by the successfulconsecutive subtraction of the 1st, 2nd, 3rd & 6 th proxies, ‘565, 302, 162 & 25’ of

38

the un-deducted last proxy, ‘1058’, after which the fifth 9th consecutive proxy,‘4’ has to be left-off, ‘+’ is indicated in the vertical lines pertaining to these 1st,2nd, 3rd & 6th proxies, ‘565, 302, 162 & 25’, being the SF (Superiors’-figure) and‘-’ is indicated in the vertical line pertaining to this fifth 9th consecutive proxy,‘4’ representing the proxy to be left-off.

Later, as the Anudruta, the least Anga, is obtained by the non-subtraction ofthe 1st proxy, ‘2’ of the last left-off proxy, ‘4’, ‘x’ is indicated in the vertical linepertaining to this 1st proxy, ‘2’ representing the inferiors’ figure.

Later, as the next Druta, the 2nd consecutive Anga, is obtained by thesuccessful subtraction of the 1st proxy, ‘1’ of the last un-deducted proxy, ‘2’, ‘+’is indicated in the vertical line pertaining to this 1st proxy, ‘1’, being the SF(Superiors’-figure).

Thus, the SF i.e., the total (12711200+ 1941791+1038023+ 554897+ 84767+565+302+ 162+25+1=) ‘16331733’ of the proxies of the vertical lines in which‘+’ is marked should be subtracted from the respective Sankhya ‘23778325’ ofwhich vertical line ‘: ’ is marked and the remainder (23778325-16331733=)‘7446592’ is the ASN i.e., answer-serial-number of this Tala. They are furnishedin the right extreme as 16331733/7446592.

The same should be applied to all other Talas and tallied with Nashta.

39

CHAPTER - 3Work-out details of Nashta of the ‘52’ Talas furnished in ‘Sangitasamayasara’

Chaturashra-jati - Chaturanga-prastara :1. 6

5

1 (3) – 0(2) – 0

1 – I

0

I00

2. 66

0 (3) – 0

(2) – 0(1) – 0(1) – 0

0000

3. 192

1710 –

76 – – S

1 [2]1 – I

0

IS

4. 193

1610 –

66 – – S

0

00S

5. 194

1510 – I

5 [6]3 –

22 – – S

0

SI

6. 195

1410 – I

4 [6]3 – I

1 [2]1 – I

0

III

7. 196

1310 – I

3 [6]3 – I

0

00II

8. 1915

4 (10) – 0(6) – 0

3 – I

1 [2]1 – I

0

II00

9. 1919

0 (10) – 0

(6) – 0(3) – 0(2) – 0(1) – 0(1) – 0

000000

10. 332

3119 –

1210 – – S

2 [3]2 – I

0

0IS

11. 3313

2019 – I

1 [10](6) – 0(3) – 0(2) – 0

1 – I

0

I000I

12. 3318

15 (19) – 010 – I

5 [6]3 –

22 – – S

0

SIO

13(a). 3318

15 (19) – 010 – 1

5 [6]3 –

22 – – S

0

SIO

13(b). 3328

5 (19) – 0(10) – 0(6) – 0

3 –

22 – – S

0

S000

14. 604

5633 –

2319 – – S

4 [6]3 – I

1 [2]1 – I

0

IIS

15. 605

5533 –

2219 – – S

3 [6]3 – 1

0

00IS

16. 607

5333 –

2019 – – S

1 [6](3) – 0(2) – 0

1 – I

0

I00S

40

17. 608

5233 –

1919 – – S

0

0000S

18. 6013

4733 – I

14 [19]10 – I

4 [6]3 – I

1 [2]1 – I

0

IIII

19. 6043

17 (33) – 0(19) – 0

10 –

76 – – S

1 [2]1 – I

0

IS00

20. 6056

4 (33) – 0(19) – 0(10) – 0(6) – 0

3 – 1

1 [2]1 – I

0

II0000

21. 1913

188106 –

8260 –

2219 – – S

3 [6]3 – I

0

00IS

22. 1918

183106 –

7760 – – S

17 [19]10 –

76 – – S

1 [2]1 – I

0

ISS

23. 1919

182106 –

7660 – – S

16 [19]10 –

66 – – S

0

00SS

24. 19110

181106 –

75

60 – – S

15 [19]10 – I

5 [6]3 –

22 – – S

0

SIS

25. 19114

177106 –

7160 – – S

11 [19]10 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00IS

26. 19121

170106 –

6460 – – S

4 [19](10) – 0(6) – 0

3 – I

1 [2]1 – I

0

II00S

27. 19128

163106 – I

57 [60]33 –

2419 – – S

5 [6]3 –

22 – – S

0

SSI

28. 19133

158106 – I

52 [60]33 –

1919 – – S

0

0000SI

29. 6102

608340 –

260191 –

7760 – – S

17 [19]10 –

76 – – S

1 [2]1 – I

0

ISS

41

30(a). 6103

607340 –

267191 –

7660 – – S

16 [19]10 –

66 – – S

0

00SS

(b). 6104

606340 –

266191 –

7560 – – S

15 [19]10 – I

5 [6]3 –

22 – – S

0

SIS

31(a). 6108

602340 –

262191 –

7160 – – S

11 [19]10 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00IS

(b). 61022

588340 –

248191 – – S

57 [60]33 –

2419 – – S

5 [6]3 –

22 – – S

0

SSS

32(a). 6107

603340 –

263191 –

7260 – – S

12 [19]10 – I

2 [6](3) – 0

2 – I

0

I0IS

(b). 61023

587340 –

247191 – – S

56 [60]33 –

2319 – – S

4 [6]3 – I

1 [2]1 – I

0

IISS

33(a). 61010

600340 –

260191 –

6960 – – S

9 [19](10) – 0

6 –

33 – – S

0

0S0S

(b). 61031

579340 –

239191 – – S

48 [60]33 – I

15 [19]10 – I

5 [6]3 –

22 – – S

0

SIIS

34(a). 61011

599340 –

259191 –

6860 – – S

8 [19](10) – 0

6 – I

2 [3]2 – I

0

0II0S

(b). 61032

578340 –

238191 – – S

47 [60]33 – I

14 [19]10 – I

4 [6]3 – I

1 [2]1 – I

0

IIIIS

35(a). 61019

591340 –

251191 –

6060 – – S

0

000000S

(b). 610107

503340 – I

163 [191]106 – I

57 [60]33 –

2419 – – S

5 [6]3 –

22 – – S

0

SSII

42

36. 61018

592340 –

252191 –

6160 – – S

1 [19](10) – 0(6) – 0(3) – 0(2) – 0

1 – I

0

I0000S

37. 61025

585340 –

245191 – – S

54 [60]33 –

2119 – – S

2 [6](3) – 0

2 – I

0

0I0SS

38(a). 61033

577340 –

237191 – – S

46 [60]33 – I

13 [19]10 – I

3 [6]3 – I

0

00IIIS

(b). 61035

575340 –

235191 – – S

44 [60]33 – I

11 [19]10 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00IIS

39(a). 61060

550340 –

210191 – – S

19 [60](33) – 0

19 – I

0

00000I0S

(b). 61069

541340 –

201191 – – S

10 [60](33) – 0(19) – 0

10 – I

0

0000I00S

40(a). 61071

539340 –

199191 – – S

8 [60](33) – 0(19) – 0(10) – 0

6 – I

2 [3]2 – I

0

0II000S (b). 610

74

536340 –

196191 – – S

5 [60](33) – 0(19) – 0(10) – 0(6) – 0

3 –

22 – – S

0

S0000S

41. 62362

62343485 –

27491950 –

799610 – – S

189 [191]106 –

8360 –

2319 – – S

4 [6]3 – I

1 [2]1 – I

0

IISS

42(a). 62368

62283485 –

27431950 –

793610 – – S

183 [191]106 –

7760 – – S

17 [19]10 –

76 – – S

1 [2]1 – I

0

ISSS

(b). 623628

62083485 –

27231950 –

773610 – – S

163 [191]106 – I

57 [60]33 –

2419 – – S

5 [6]3 –

22 – – S

0

SSIS

43(a). 62369

62273485 –

27421950 –

792610 – – S

182 [191]106 –

7660 – – S

43

16 [19]10 –

66 – – S

0

00SSS

(b). 623629

62073485 –

27221950 –

772610 – – S

162 [191]106 – I

56 [60]33 –

2319 – – S

4 [6]3 – I

1 [2]1 – I

0

IISIS

44(a). 623620

62163485 –

27311950 –

781610 – – S

171 [191]106 –

6560 – – S

5 [19](10) – 0(6) – 0

3 –

22 – – S

0

SOOSS

(b). 6236214

60223485 –

25371950 – – S

587 [610]340 –

247191 – – S

56 [60]33 –

2319 – – S

4 [6]3 – I

1 [2]1 – I

0

IISSS

45(a). 623623

62133485 –

27281950 –

778610 – – S

168 [191]106 –

6260 – – S

2 [19](10) – 0(6) – 0(3) – 0

2 – I

0

I000SS

(b). 6236222

60143485 –

25291950 – – S

579 [610]340 –

239191 – – S

48 [60]33 – I

15 [19]10 – I

5 [6]3 –

22 – – S

0

SIISS

46(a). 623628

62083485 –

27231950 –

773610 – – S

163 [191]106 – I

57 [60]33 –

2419 – – S

5 [6]3 –

22 – – S

0

SSIS

(b). 6236278

59583485 –

24731950 – – S

523 [610]340 – I

183 [191]106 –

7760 – – S

17 [19]10 –

76 – – S

1 [2]1 – I

0

ISSIS

47(a). 623631

62053485 –

27201950 –

770610 – – S

160 [191]106 – I

54 [60]33 –

2119 – – S

2 [6](3) – 0

2 – I

0

0I0SIS

(b). 6236296

59403485 –

24551950 – – S

505 [610]340 – I

165 [191]106 – I

59 [60]33 –

2619 –

76 – – S

1 [2]1 – I

0

ISIIS

48(a). 623633

62033485 –

27181950 –

768610 – – S

158 [191]106 – I

44

52 [60]33 –

1919 – – S

0

0000SIS

(b). 6236299

59373485 –

24521950 – – S

502 [610]340 – I

162 [191]106 – I

56 [60]33 –

2319 – – S

4 [6]3 – I

1 [2]1 – I

0

IISIIS

49(a). 623663

61733485 –

26881950 –

738610 – – S

128 [191]106 – I

22 [60](33) – 0

19 – I

3 [10](6) – 0

3 – I

0

00I0I0IS

(b). 62361074

51623485 – I

1677 [1950]1089 – I

588 [610]340 –

248191 – – S

57 [60]33 –

2419 – – S

5 [6]3 –

22 – – S

0

SSSII50(a). 6236

330

59063485 –

24211950 – – S

471 [610]340 – I

131 [191]106 – I

25 [60](33) – 0

19 – I

6 [10]6 – I

0

000II0IIS

(b). 6236132

61043485 –

26191950 –

669610 – – S

59 [191](106) – 0(60) – 0

33 –

2619 –

76 – – S

1 [2]1 – I

0

IS00S

51(a). 6236450

57863485 –

23011950 – – S

351 [610]340 – I

11 [191](106) – 0(60) – 0(33) – 0(19) – 0

10 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00I0000IS

(b). 623630

62063485 –

27211950 –

771610 – – S

161 [191]106 – I

55 [60]33 –

2219 – – S

3 [6]3 – I

0

00ISIS

52(a). 65285789

652768365018 –

287750204091 –

8365963802 – – S

17857 [19946]11150 –

87076236 –

24711950 – – S

521 [610]340 – I

181 [191]106 –

7560 – – S

15 [19]10 – I

5 [6]3 –

22 – – S

0

SISISS

(b). 6528572779

650078365018 –

285060204091 –

8096963802 – – S

17167 [19946]11150 – I

6017 [6236]3485 –

25321950 – – S

582 [610]340 –

242191 – – S

51 [60]33 – I

18 [19]10 –

86 –

22 – – S

0

SISSIS

45

CHAPTER - 4Work-out details of Nashta of the ‘158’ Talas furnished in ‘Gayakalochanam’

Chaturashra-jati - Chaturanga-prastara :1. 3

1

22 – I

0

0I

2. 63

33 – I

0

00I

3. 65

1 (3) – 0(2) – 0

1 – I

0

I00

4. 104

66 – I

0

000I

5. 101

96 –

33 – – S

0

0S

6. 103

76 – I

1 [3](2) – 0

1 – I

0

I0I

7. 193

1610 –

66 – – S

0

00S

8. 198

1110 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00I

9. 199

1010 – I

0

0000I10(a). 33

1

3219 –

1310 –

33 – – S

0

0S

(b). 3311

2219 – I

3 [10]

(6) – 0

3 – I

0

00I0I

11. 333

3019 –

1110 – – S

1 [3](2) – 0

1 – I

0

I0S

12. 3312

2119 – I

2 [10](6) – 0(3) – 0

2 – I

0

0I00I

13. 339

2419 – I

5 [10](6) – 0

3 –

22 – – S

0

SOI

14. 6026

3433 – I

1 [19](10) – 0(6) – 0(3) – 0(2) – 0

1 – I

0

I0000I

15. 6025

3533 – I

2 [19](10) – 0(6) – 0(3) – 0

2 – I

0

0I000I

16. 6020

4033 – I

7 [19](10) – 0

6 – I

1 [3](2) – 0

1 – I

0

I0I0I

17. 608

5233 –

1919 – – S

0

0000S

18. 6021

3933 – I

6 [19](10) – 0

6 – I

0

000I0I

46

19. 6022

3833 – I

5 [19](10) – 0(6) – 0

3 –

22 – – S

0

S00I

20. 10635

7160 – I

11 [33](19) – 0

10 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00I0I

21. 10612

9460 –

3433 – – S

1 [10](6) – 0(3) – 0(2) – 0

1 – I

0

I000S

22. 10637

6960 – I

9 [33](19) – 0(10) – 0

6 –

33 – – S

0

0S00I

23. 10643

6360 – I

3 [33](19) – 0(10) – 0(6) – 0

3 – I

0

00I000I

24. 10636

7060 – I

10 [33](19) – 0

10 – I

0

0000I0I

25(a). 1063

10360 –

4333 –

1010 – – S

0

000S

(b) 10630

7660 – I

16 [33](19) – 0

10 –

66 – – S

0

00S0I

26. 19155

136106 – I

30 [60](33) – 0

19 –

11

10 – – S

1 [3](2) – 0

1 – I

0

I0S0I

27. 19156

135106 – I

29 [60](33) – 0

19 –

1010 – – S

0

000S0I

28. 191181

10 (106) – 0(60) – 0(33) – 0(19) – 0

10 – I

0

0000I0000

29. 19165

126106 – I

20 [60](33) – 0

19 – I

1 [10](6) – 0(3) – 0(2) – 0

1 – I

0

I000I0I

30. 19167

124106 – I

18 [60](33) – 0(19) – 0

10 –

86 –

22 – – S

0

S00I

31. 19163

128106 – I

22 [60](33) – 0

19 – I

3 [10](6) – 0

3 – I

0

00I0I0I

32. 191151

40 (106) – 0(60) – 0

33 – I

7 [19](10) – 0

6 – I

1 [3](2) – 0

1 – I

0

I0I0I00

33. 340111

229191 – I

38 [106]60 – 0

33 – I

5 [19](10) – 0(6) – 0

3 –

22 – – S

0

S00I0I

47

34. 34032

308191 –

117106 – – S

11 [33](19) – 0

10 – I

1 [6](3) – 0(2) – 0

1 – I

0

I00I0S

35. 34095

245191 – I

54 [106](60) – 0

33 –

2119 – – S

2 [6](3) – 0

2 – I

0

0I0S0I

36. 340116

224191 – I

33 [106](60) – 0

33 – I

0

000000I0I

37. 340115

225191 – I

34 [106](60) – 0

33 – I

1 [19](10) – 0(6) – 0(3) – 0(2) – 0

1 – I

0

I0000I0I

38. 340144

196191 – I

5 [106](60) – 0(33) – 0(19) – 0(10) – 0(6) – 0

3 –

22 – – S

0

S00000I

39. 610172

438340 – I

98 [191](106) – 0

60 –

3833 – – S

5 [10](6) – 0

3 –

22 – – S

0

S0S0I

40. 610174

436340 – I

96 [191](106) – 0

60 –

3633 – – S

3 [10](6) – 0

3 – I

0

00I0S0I41. 610

192

418340 – I

78 [191](106) – 0

60 – I

18 [33](19) – 0

10 –

86 –

22 – – S

0

S0I0I

42. 610258

352340 – I

12 [191](106) – 0(60) – 0(33) – 0(19) – 0

10 – I

2 [6](3) – 0

2 – I

0

0I0I0000I

43. 610166

444340 – I

104 [191](106) – 0

60 –

4433 –

1110 – – S

1 [3](2) – 0

1 – I

0

I0S0I

44. 610200

410340 – I

70 [191](106) – 0

60 – I

10 [33](19) – 0

10 – I

0

0000I0I0I

45. 61049

561340 –

221191 – – S

30 [60](33) – 0

19 –

1110 – – S

1 [3](2) – 0

1 – I

0

I0S0S

46. 610217

393340 – I

53 [191](106) – 0(60) – 0

33 –

2019 – – S

1 [6](3) – 0(2) – 0

1 – I

0

I00S00I

47. 61073

537340 –

197191 – – S

6 [60](33) – 0(19) – 0(10) – 0

6 – I

0

000I000S

48

48. 610365

245 (340) – 0191 – I

54 [106](60) – 0

33 –

2119 – – S

2 [6](3) – 0

2 – I

0

0I0S0I0

49. 610252

358340 – I

18 [191](106) – 0(60) – 0(33) – 0(19) – 0

10 –

86 –

22 – – S

0

S0000I

50. 1089343

746610 – I

136 [340](191) – 0

106 – I

30 [60](33) – 0

19 –

1110 – – S

1 [3](2) – 0

1 – I

0

I0S0I0I

51. 1089361

728610 – I

118 [340](191) – 0

106 – I

12 [60](33) – 0(19) – 0

10 – I

2 [6](3) – 0

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11 – – I

0

IU0U0U0U0UI

129(a). 242231174

2304912949 –

101006923 – – I

3177 [3700]1978 –

11991058 – – I

141 [565](302) – U(162) – U

86 –

5546 – – I

9 [25](13) – U

7 – 0

2 [4]2 – 0

0

U00UIUUII

(b). 242239612

1461112949 – 0

1662 [6923](3700) – U(1978) – U

1058 –

604565 – – I

57

39 [302](162) – U(86) – U(46) – U

25 –

1413 – – I

1 [7](4) – U(2) – U

1 – 0

0

0UUIUUUIUU0

130. 1978651

13271058 – 0

269 [565](302) – U

162 –

10786 – – I

21 [46](25) – U

13 –

87 – – I

1 [4](2) – U

1 – 0

0

0UIUIU0

131(a). 242239824

1439912949 – 0

1450 [6923](3700) – U(1978) – U

1058 – 0

392 [565]302 – 0

90 [162]86 – 0

4 [46](25) – U(13) – U(7) – U

4 – 0

0

UU0UUU000UU0

(b). 242239302

1492112949 – 0

1972 [6923](3700) – U(1978) – U

1058 –

914565 –

349302 –

4746 – – S

1 [7](4) – U(2) – U

1 – 0

0

0UUSUU0

132(a). 847673514

8125345315 –

3593824223 – – I

11715 [12949]6923 –

47923700 – – I

1092 [1978]1058 – 0

34 [565](302) – U(162) – U(86) – U(46) – U

25 – 0

9 [13]7 – 0

2 [4]2 – 0

0

U000UUUU0II

(b). 8476731310

5345745315 – 0

8142 [24223](12949)–U

6923 – 0

1219 [3700]

(1978) – U1058 – 0

161 [565](302) – U(162) – U

86 –

7546 –

2925 –

44 – – S

0

SUU0U0U0

133(a). 29663393352

203281158570 – 0

44711 [84767](45315)–U

24223 –

2048812949 –

75396923 – – S

616 [1058]565 – 0

51 [302](162) – U(86) – U

46 – 0

5 [25](13) – U(7) – U

4 – 0

1 [2]1 – 0

0

00UU0UU0SU0

(b). 29663392856

203777158570 – 0

45207 [84767](45315)–U

24223 –

2098412949 –

80356923 –

11121058 – – S

54 [162](86) – U

46 – 0

8 [25](13) – U

7 – 0

1 [4](2) – U

1 – 0

0

0U0U0USU0

134(a). 19781748

230 [1058] – U(565) – U(302) – U

162 – 0

68 [86]46 – 0

22 [25]13 –

97 – – I

2 [4]2 – 0

0

U0I00UUU

(b). 1978848

11301058 – 0

72 [565](302) – U(162) – U(86) – U

46 –

2625 – – I

1 [13](7) – U(4) – U(2) – U

1 – 0

0

0UUUIUUU0

135. 1058383

675565 – 0

110 [302](162) – U

58

86 – 0

24 [46](25) – U

13 –

117 –

44 – – S

0

SU0U0

136. 242233029

2119412949 –

82456923 – – I

1322 [3700](1978) – U

1058 – 0

264 [565](302) – U

162 –

10286 – – I

16 [46](25) – U

13 – 0

3 [7](4) – U

2 –

11 – – I

0

IU0UIU0UI

137. 3700367

33331978 –

13551058 – – I

297 [565](302) – U

162 –

13586 –

4946 – – S

3 [7](4) – U

2 –

11 – – I

0

IUSUI

138. 69235891

1032 [3700] – U(1978) – U(1058) – U

565 –

467302 –

165162 – – S

3 [25](13) – U(7) – U(4) – U

2 –

11 – – I

0IUUUSUUU

139(a). 8476726817

5795045315 – 0

12635 [24223](12949)–U

6923 –

57123700 –

20121978 – – S

34 [302](162) – U(86) – U(46) – U

25 – 0

9 [13]7 – 0

2 [4]2 – 0

0

U000UUUSU0

(b). 8476726693

5807445315 – 0

12759 [24223]

(12949)–U6923 –

58363700 –

21361978 – – S

158 [302](162) – U

86 –

7246 –

2625 – – S

1 [4](2) – U

1 – 0

0

0USUSU0

140(a).1941791244668

16971231038023 –

659100554897 – – I

104203[296633](158570) – U

84767 – 0

19436 [45315](24223)–U

12949 – 0

6487 [6923]3700 –

27871978 – – I

809 [1058]565 – 0

244 [302]162 – 0

82 [86]46 –

3625 – – I

11 [13]7 –

44 – – I

0

UUII00I0U0UI

(b). 1941791242910

16988811038023 –

660858554897 – – I

105961[296633](158570) – U

84767 – 0

21194 [45315](24223)–U

12949 –

82456923 – – I

1322 [3700](1978) – U

1058 – 0

264 [565](302) – U

162 –

10286 – – I

16 [46](25) – U

13 – 0

3 [7](4) – U

2 –

11 – – I

0

IU0UIU0UIU0UI

141(a).6795034124467

66705673632427 –

30381401941791 –

10963491038023 – – S

58326 [158570](84767)–U

45315 – 0

13011 [24223]12949 – 0

62 [6923](3700) – U(1978) – U(1058) – U(565) – U(302) – U(162) – U(86) – U

46 – 0

59

16 [25]13 – 0

3 [7](4) – U

2 –

11 – – I

0

IU00UUUUUUU00US

(b). 67950346368486

426548[3632427]–U(1941791)–U(1038023)–U(554897) – U

296633 – 0

129915[158570]84767 – 0

45148[45315]24223 –

2092512949 –

79766923 – – S

1053[1058]565 –

488302 –

186162 – – S

24 [25]13 –

117 –

44 – – S

0

SSS00UUUU

142. 37001258

24421978 – 0

464 [1058](565) – U

302 –

162162 – – I

0

UUUUUUUUIU0

143(a). 4531527529

17786 (24223)–U12949 – 0

4837 [6923]3700 – 0

1137 [1978]1058 – 0

79 [565](302) – U(162) – U(86) – U

46 –

3325 – – I

8 [13]7 – 0

1 [4](2) – U

1 – 0

0

0U0IUUU000U

(b). 4531517405

2791024223 – 0

3687 [12949](6923) – U(3700) – U

1978 –

17091058 –

651565 –

8686 – – S

0

UUUUUSUU0

144. 1978907

10711058 – 0

13 [565](302) – U(162) – U(86) – U(46) – U(25) – U

13 – 0

0

UUUU0UUUUU0

145(a). 129495105

78446923 – 0

921 [3700](1978) – U(1058) – U

565 –

356302 – – I

54 [162](86) – U

46 – 0

8 [25](13) – U

7 – 0

1 [4](2) – U

1 – 0

0

0U0U0UIUU0

(b). 129496025

69246923 – 0

1 [3700](1978) – U(1058) – U(565) – U(302) – U(162) – U(86) – U(46) – U(25) – U(13) – U(7) – U(4) – U(2) – U

1 – 0

0

0UUUUUUUUUUUU0

146(a). 554897203354

351543296633 – 0

54910 [158570](84767)–U

45315 – 0

9595 [24223](12949)–U

6923 – 0

2672 [3700]1978 – 0

694 [1058]565 – 0

129 [302](162) – U

86 – 0

43 [46]25 –

1813 – – I

5 [7]4 – 0

1 [2]1 – 0

0

00I0U000U0U0

(b). 554897204302

350595296633 – 0

53962 [158570](84767)–U

45315 – 0

8647 [24223](12949)–U

6923 – 0

1724 [3700](1978) – U

1058 –

666565 – – I

101 [302](162) – U

86 – 0

15 [46](25) – U

13 – 0

2 [7](4) – U

2 – 0

0

U0U0U0UIU0U0U0

147. 30251

251162 –

8986 – – I

3 [46](25) – U(13) – U(7) – U(4) – U

60

2 –

11 – – I

0

IUUUUI

148(a). 69232411

45123700 – 0

812 [1978](1058) – U

565 – 0

247 [302]162 – 0

85 [86]46 –

3925 –

1413 – – S

1 [2]1 – 0

0

0S00U0

(b). 6923889

60343700 –

23341978 – – I

356 [1058](565) – U

302 – 0

54 [162](86) – U

46 – 0

8 [25](13) – U

7 – 0

1 [4](2) – U

1 – 0

0

0U0U0U0UI

149. 1058191

867565 –

302302 – – I

0

UUUUUUUUUI

150(a). 129493861

90886923 – 0

2165 [3700]1978 – 0

187 [1058](565) – U(302) – U

162 – 0

25 [86](46) – U

25 – 0

0

UUUUU0U0UU00

(b). 129494781

81686923 – 0

1245 [3700](1978) – U

1058 – 0

187 [565](302) – U

162 – 0

25 [86](46) – U

25 – 0

UUUUU0U0U0U0

151(a). 129494046

89036923 – 0

1980 [3700]1978 – 0

2 [1058](565) – U(362) – U(162) – U(86) – U(46) – U(25) – U(13) – U(7) – U(4) – U

2 – 0

0

U0UUUUUUUUU00

(b). 129494966

79836823 – 0

1060 [3700](1978) – U

1058 – 0

2 [565](302) – U(162) – U(86) – U(46) – U(25) – U(13) – U(7) – U(4) – U

2 – 0

0

U0UUUUUUUU0U0

152(a). 242239823

1440012949 – 0

1451 [6923](3700) – U(1978) – U

1058 – 0

393 [565]302 – 0

91 [162]86 – 0

5 [46](25) – U(13) – U(7) – U

4 – 0

1 [2]1 – 0

0

00UUU000UU0

(b). 242239301

1492212949 – 0

1973 [6923](3700) – U(1978) – U

1058 –

915565 –

350302 –

4846 – – S

2 [7](4) – U

2 – 0

0

U0USUU0

153(a). 15857049914

10865684767 – 0

23889 [45315](24223)–U

12949 –

109406923 –

40173700 – – S

317 [565]302 – 0

15 [162](86) – U(46) – U(25) – U

13 – 0

2 [7](4) – U

2 – 0

0

U0U0UUU0SU0

(b). 15857049666

10890484767 – 0

24137 [45315](24223)–U

12949 –

111886923 –

42653700 –

565565 – – S

0

UUUUUUUUSU0

154(a).36324271207856

24245711941791 – 0

482780[1038023](554897) – U

296633 –

186147158570 – – I

61

27577 [84767](45315)–U

24223 – 0

3354 [12949](6923) – U(3700) – U

1978 –

13761058 – – I

318 [565]302 – 0

16 [162](86) – U(46) – U(25) – U

13 – 0

3 [7](4) – U

2 –

11 – – I

0

IU0UUU0IUU0UIU0

(b). 36324271206456

24259711941791 – 0

484180[1038023](554897) – U

296633 –

187547158570 – – I

28977 [84767](45315)–U

24223 – 0

4754 [12949](6923) – U

3700 – 0

1054 [1978](1058) – U

565 –

489302 –

187162 –

2525 – – S

0

UUUSU0U0UIU0

155(a). 15857058541

10002984767 – 0

15262 [45315](24223)–U

12949 – 0

2313 [6923](3700) – U

1978 – 0

335 [1058](565) – U

302 – 0

33 [162](86) – U(46) – U

25 – 0

8 [13]7 – 0

1 [4](2) – U

1 – 0

0

0U00UU0U0U0U0

(b). 15857057771

10079984767 – 0

16032 [45315](24223)–U

12949 – 0

3083 [6923](3700) – U

1978 –

11051058 – – I

47 [565](302) – U(162) – U(86) – U

46 – 0

1 [25](13) – U(7) – U(4) – U(2) – U

1 – 0

0

0UUUU0UUUIU0U0

156(a).1941791733987

12078041038023 – 0

169781[554897](296633) – U

158570 – 0

11211 [84767](45315)–U(24223)–U(12949)–U

6923 –

42883700 – – I

588 [1978](1058) – U

565 – 0

23 [302](162) – U(86) – U(46) – U(25) – U

13 –

107 – – I

3 [4]2 –

11 – – I

0

IIUUUU0UIUUU0U0

(b). 1941791731163

12106281038023 – 0

172605 [554897](296633)–U

158570 – 0

14035 [84767](45315)–U(24223)–U

12949 – 0

1086 [6923](3700) – U(1978) – U

1058 – 0

28 [565](302) – U(162) – U(86) – U(46) – U

25 – 0

3 [43](7) – U(4) – U

2 –

11 – – I

0

IUU0UUUU0UU0UU0U0

157(a). 129493847

91026923 – 0

2179 [3700]1978 – 0

201 [1058](565) – U(302) – U

162 – 0

39 [86](46) – U

25 –

1413 – – I

1 [7](4) – U(2) – U

1 – 0

0

0UUIU0UU00

(b). 129494767

81826923 – 0

1259 [3700](1978) – U

1058 – 0

201 [565](302) – U

162 – 0

39 [86](46) – U

25 –

1413 – – I

1 [7](4) – U(2) – U

1 – 0

0

0UUIU0U0U0

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

1 I00 + x x : 1/5

2 0000 x x x x : 0/6

3 IS + – + + : 17/2

4 00S + + : 16/3

5 SI + + – + : 15/4

6 III + – + – + : 14/5

7 00II + – + : 13/6

8 II00 + – + x x : 4/15

9 000000 x x x x x x : 0/19

10 0IS + – + + : 31/2

11 I000I + x x x – + : 20/13

12 SI0 + + – + x : 15/18

13 SI0 + + – + x : 15/18

S000 + + x x x : 5/28

14 IIS + – + – + + : 56/4

15 00IS + – + + : 55/5

16 I00S + x x – + + : 53/7

17 0000S + + : 52/8

18 IIII + – + – + – + : 47/13

19 IS00 + – + + x x : 17/43

20 II0000 + – + x x x x : 4/56

SANKHYA :

Sl.

No.

CHAPTER - 5Work-out details of Uddishta of the ‘52’ Talas furnished in ‘Sangitasamayasara’.

Chaturashra-jati - Chaturanga-prastara :

62

63

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

SANKHYA :

Sl.

No.

21 00IS + – + + + : 188/3

22 ISS + – + + – + + : 183/8

23 OOSS + + – + + : 182/9

24 SIS + + – + – + + : 181/10

25 IOOIS + x x – + – + + : 177/14

26 IIOOS + – + x x – + + : 170/21

27 SSI + + – + + – + : 163/28

28 OOOOSI + + – + : 158/33

29 ISS + – + + – + + + : 608/2

30 OOSS + + – + + + : 607/3

SIS + + – + – + + + : 606/4

31 IOOIS + x x – + – + + + : 602/8

SSS + + – + + – + + : 588/22

32 IOIS + x – + – + + + : 603/7

IISS + – + – + + – + + : 587/23

33 OSOS + + x – + + + : 600/10

SIIS + + – + – + – + + : 579/31

34 OIIOS + – + x – + + + : 599/11

IIIIS + – + – + – + – + + : 578/32

35 OOOOOOS + + + : 591/19

SSII + + – + + – + – + : 503/107

36 IOOOOS + x x x x – + + + : 592/18

37 0IOSS + x – + + – + + : 585/25

38 OOIIIS + – + – + – + + : 577/33

IOOIIS + x x – + – + – + + : 575/35

64

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

SANKHYA :

Sl.

No.

39 00000I0S + x – + + : 550/60

0000I00S + x x – + + : 541/69

40 0II000S – + – + x x x – + + : 539/71

S0000S + + x x x x – + + : 536/74

41 IISS + – + – + + + – + + + : 6234/2

42 ISSS + – + + – + + – + + + : 6228/8

SSIS + + – + + – + – + + + : 6208/28

43 OOSSS + + – + + – + + + : 6227/9

IISIS + – + – + + – + – + + + : 6207/29

44 S00SS + + x x – + + – + + + : 6216/20

IISSS + – + – + + – + + – + + : 6022/214

45 IOO0SS + x x x – + + – + + + : 6213/23

SIISS + + – + – + – + + – + + : 6014/222

46 SSIS + + – + + – + – + + + : 6208/28

ISSIS + – + + – + + – + – + + : 5958/278

47 OIOSIS + x – + + – + – + + + : 6205/31

ISIIS + – + + + – + – + – + + : 5940/296

48 OOOOSIS + + – + – + + + : 6203/33

IISIIS + – + – + + – + – + – + + : 5937/299

49 OOIOIOIS + x – + x – + – + + + : 6173/63

SSSII + + – + + – + + – + – + : 5162/1074

50 000II0IIS + – + x – + – + – + + : 5906/330

IS00S + – + + + x x – + + + : 6104/132

51 I00I0000IS + x x – + x x x x – + – + + : 5786/450

00ISIS + – + + – + – + + + : 6206/30

52 SISISS + + – + – + + – + – + + + – + + + : 652768/89

SISSIS + + + – + – + + – + + – + – + + + : 650078/2779

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: PRASTARA :

SF / ASN

1 0I + : 2/1

2 00I + : 3/3

3 I00 + x x : 1/5

4 000I + : 6/4

5 0S + + : 9/1

6 I0I + x – + : 7/3

7 00S + + : 16/3

8 I00I + x x – + : 11/8

9 0000I + : 10/9

10 0S + + + : 32/1

00I0I + x – + : 22/11

11 I0S + x – + + : 30/3

12 0I00I + x x – + : 21/12

13 S0I + + x – + : 24/9

14 I0000I + x x x x – + : 34/26

15 0I000I + x x x – + : 35/25

16 I0I0I + x – + x – + : 40/20

17 0000S + + : 52/8

18 000I0I + x – + : 39/21

19 S00I + + x x – + : 38/22

SANKHYA :

Sl.

No.

65

CHAPTER - 6Work-out details of Uddishta of the ‘158’ Talas furnished in ‘Gayakalochanam’.

Chaturashra-jati - Chaturanga-prastara :

66

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

SANKHYA :

Sl.

No.

20 I00I0I + x x – + x – + : 71/35

21 I000S + x x x – + + : 94/12

22 0S00I + + x x – + : 69/37

23 00I000I + x x x – + : 63/43

24 0000I0I + x – + : 70/36

25 000S + + + : 103/3

00S0I + + x – + : 86/30

26 I0S0I + x – + + x – + : 136/55

27 000S0I + + x – + : 135/56

28 0000I0000 + x x x x : 10/181

29 I000I0I + x x x – + x – + : 126/65

30 S00I + + + x x – + : 124/67

31 00I0I0I + x – + x – + : 128/63

32 I0I0I00 + x – + x – + x x : 40/151

33 S00I0I + + x x – + x – + : 229/111

34 I00I0S + x x – + x – + + : 308/32

35 0I0S0I + x – + + x – + : 245/95

36 000000I0I + x – + : 224/116

37 I0000I0I + x x x x – + x – + : 225/115

38 S00000I + + x x x x x – + : 196/144

39 S0S0I + + x – + + x – + : 438/172

40 00I0S0I + x – + + x – + : 436/174

41 S0I0I + + + x – + x – + : 418/192

42 0I0I0000I + x – + x x x x – + : 352/258

67

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

SANKHYA :

Sl.

No.

43 I0S0I + x – + + + x – + : 444/166

44 0000I0I0I + x – + x – + : 410/200

45 I0S0S + x – + + x – + + : 561/49

46 I00S00I + x x – + + x x – + : 393/217

47 000I000S + x x x – + + : 537/73

48 0I0S0I0 + x – + + x – + + : 245/365

49 S0000I + + + x x x x – + : 358/252

50 I0S0I0I + x – + + x – + x – + : 746/343

51 0I0I00I0I + x – + x x – + x – + : 728/361

52 S00I0I + + + x x – + x – + : 734/355

53 0I000I0S + x x x – + x – + + : 985/104

54 I00S0I + x x – + + + x – + : 796/293

55 I000000I0I + x x x x x x – + x – + : 717/372

56 S0I0000I + + x – + x x x x – + : 634/455

57 0S0S0I + + x – + + x – + : 785/304

0000S0I + + + x – + :: 795/294

58 SS0I0I + + – + + x – + x – + : 1337/613

59 I00S0I0I + x x – + + x – + x – + : 1333/617

60 0I0I0S0I + x – + x – + + x – + : 1398/552

61 0I0SII + x – + + + – + – + : 1616/334

00I00I0I0I + x x – + x – + x – + : 1316/634

62 I0I00S0I + x – + x x – + + x – + : 1393/557

63 00I0S0I + x – + + + x – + : 1422/528

64 I00I0S0I + x x – + x – + + x – + : 1397/553

68

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

SANKHYA :

Sl.

No.

65 0I0S0I0I + x – + + x – + x – + : 1334/616

66 S00I0I0I + + x x – + x – + x – + : 1318/632

67 0000000S0I + + x – + : 1386/564

68 00I0S0S + x – + + x – + + : 1795/155

69 S000S0I + + x x x – + + x – + : 1391/559

70 0I000I0I0I + x x x – + x – + x – + : 1315/635

71 0SS0I0I + + – + + x – + x – + : 2392/1093

72 I0S0I0I + x – + + + x – + x – + : 2394/1091

73 I00I0I0I0I + x x – + x – + x – + x – + : 2361/1124

74 0000000I0I0I + x – + x – + : 2350/1135

75 I0I0S0I + x – + x – + + + x – + : 2548/937

76 000S0I0I + + + x – + x – + : 2393/1092

77 0000I00S0I + x x – + + x – + : 2491/994

78 S0I0I0I + + + x – + x – + x – + : 2368/1117

79 I0S0I00I + x – + + + x – + x x – + : 3929/2307

0I0I0I00I0I + x – + x – + x x – + x – + : 4167/2069

80 0IS0I00I + – + + + x – + x x – + : 3930/2306

I0S00I0I + x – + + + x x – + x – + : 4199/2037

81 S00S0I0I + + x x – + + x – + x – + : 4266/1970

82 S00I0I0I + + + x x – + x – + x – + : 4219/2017

83 I0000S0I0I + x x x x – + + x – + x – + : 4262/1974

84 I0I0I000000I + x – + x – + x x x x x x – + : 3525/2711

85 I00I0I00000I + x x – + x – + x x x x x – + : 3556/2680

86 I0I0S0I0I + x – + x – + + x – + x – + : 4268/1968

69

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 3 6

10

19

33

60

10

6

19

1

34

0

61

0

10

89

19

50

34

85

62

36

11

15

0

19

94

6

35

67

0

63

80

2

11

41

07

20

40

91

36

50

18

65

28

57

: TALA / PRASTARA :

SF / ASN

SANKHYA :

Sl.

No.

87 I00I00000I0I + x x – + x x x x x – + x – + : 4106/2130

88 00I00S0000I + x x – + + x x x x – + : 3654/2582

89 SOOSOOS + + x x – + + x x – + + : 5606/630

90 S0S0S + + x – + + + x – + + : 5770/466

91 I000S000I + x x x – + + + x x x – + : 3816/2420

92 I0000S0000I + x x x x – + + x x x x – + : 3652/2584

93 00SI0I000I + + – + x – + x x x – + : 3725/2511

S0I0I0I0I + + x – + x – + x – + x – + : 4225/2011

94 I0I00I0S0I + x – + x x – + x – + + x – + : 8002/3148

95 I00I0S0I0I + x x – + x – + + x – + x – + : 7633/3517

96 0000S00I0I + + + x x – + x – + : 7510/3640

97 0I0S0I00I0I + x – + + x – + x x – + x – + : 13345/6601

98 I0000I0S0I + x x x x – + x – + + + x – + : 14563/5383

99 00I000I0I0I0I + x x x – + x – + x – + x – + : 13503/6443

100 S0I0S0I0S + + x – + x – + + x – + x – + + : 58121/5681

101 I0I00I0000S0I + x – + x x – + x x x x – + + x – + : 45458/18344

102 SS00I00I00I + + – + + x x – + x x – + x x – + : 39552/24250

I00I00S00I00I + x x – + x x – + + x x – + x x – + : 39697/24105

103 0S0S000I0I + + + x – + + x x x – + x – + : 42469/21333

I0I00S00I0I + x – + x x – + + + x x – + x – + : 42969/20833

104 I00I000I00000I0I0I + x x – + x x x – + x x x x x – + x – + x – + : 440172/212685

S0000I0000I0I0I + + + x x x x – + x x x x – + x – + x – + : 440328/212529

105 00S0I0S00000I0I + + x – + x – + + x x x x x – + x – + : 430595/222262

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

1 1 2 4 7

13

25

46

86

16

2

30

2

56

5

10

58

19

78

37

00

69

23

12

94

9

24

22

3

45

31

5

84

76

7

15

85

70

29

66

33

55

48

97

10

38

02

3

19

41

79

1

36

32

42

7

67

95

03

4

12

71

12

00

23

77

83

25

: TALA / PRASTARA :

SF / ASN

106 U0 + : 2/2

107 UU0 + : 4/3

108 0UI + x – + + : 21/4

109 IU0U0 + + x – + x – + : 102/60

110 IUIU0 + + x – + + x – + : 203/99

111 IU0 + + x – + : 16/9

112 UIU0 + + x – + : 31/15

113 UU0UI + x – + + : 75/11

114 IUI + + x – + + : 41/5

115 UOUI + x – + + : 40/6

116 IUS + + x – + + + + : 1974/4

117 I00I + + – + – + – + + : 283/19

UIU0U0 + + x – + x – + : 193/109

118 0UIU0U + x – + + x – + x : 107/195

119 0UIUUIU0 + x – + + x x – + + x – + : 2463/1237

120 0UIUU0UUU0 + x – + + x x – + x x x – + : 3883/3040

0U0UIU0U0 + x – + x – + + x – + x – + : 4405/2518

121 00IU0II + – + – + + x – + – + + – + + : 12451/498

IUIUUIUI + + x – + + x x – + + x – + + : 11531/1418

122 UI0IUI0 + + – + – + + x – + + – + : 5474/1449

IU0UUU0UI + + x – + x x x – + x – + + : 5996/927

SANKHYA :

Sl.

No.

70

Trisra-jati - Panchanga-prastara :

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

SF / ASN

123 II0IUU0 + + – + + – + – + + x x – + : 4233/2690

0USU0 + x – + + + + x – + : 4755/2168

124 UUU00UUUUU0U0 + – + x x x x x – + x – + : 14959/9264

UU0USU0U0 + x – + + + x – + x – + : 15481/8742

125 UUUUUU0UIU0U0 + x – + + x – + x – + : 28836/16479

0U0USU0U0 + x – + x – + + + x – + x – + : 28960/16355

126 I0U00II + + – + x – + – + – + + – + + : 12464/485

0U0U0UIUI + x – + x – + x – + + x – + + : 11544/1405

127 UU0UU0U00SIIU0 + x x – + x – + – + – + + + – + + – + + x – + : 16230114/7548211

OUSUUUUSUO + x – + + + + x x x x – + + + + x – + : 16331733/7446592

128 UUU0UUUUUU00UI + x x x x x x – + – + x – + + : 74303/10464

IU0U0U0U0UI + + x – + x – + x – + x – + x – + + : 73905/10862

129 U00UIUUII + – + x – + + x x – + + – + + : 23049/1174

0UUIUUUIUU0 + x x – + + x x x – + + x x – + : 14611/9612

130 0UIUIU0 + x – + + x – + + x – + : 1327/651

131 UU0UUU000UU0 + x x x – + – + – + x x – + : 14399/9824

0UUSUU0 + x x – + + + + x x – + : 14921/9302

132 U00UUUU0II + – + – + x x x x – + – + + – + + : 81253/3514

SUU0U0U0 + + + + x x – + x – + x – + : 53457/31310

133 00UU0UU0SU0 + – + x x – + x x – + – + + + x – + : 203281/93352

0U0U0USU0 + x – + x – + x – + + + + x – + : 203777/92856

134 U0I00UUU + – + + – + – + x x x : 230/1748

0UUUIUUU0 + x x x – + + x x x – + : 1130/848

135 SU0U0 + + + x – + x – + : 675/383

136 IU0UIU0UI + + x – + x – + + x – + x – + + : 21194/3029

71

1 1 2 4 7

13

25

46

86

16

2

30

2

56

5

10

58

19

78

37

00

69

23

12

94

9

24

22

3

45

31

5

84

76

7

15

85

70

29

66

33

55

48

97

10

38

02

3

19

41

79

1

36

32

42

7

67

95

03

4

12

71

12

00

23

77

83

25

: TALA / PRASTARA :

SANKHYA :

Sl.

No.

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

SF / ASN

137 IUSUI + + x – + + + x – + + : 3333/367

138 IUUUSUUU + + x x x – + + + x x x : 1032/5891

139 U000UUUSU0 + – + – + x x x – + + + x – + : 57950/26817

0USUSU0 + x – + + + x – + + + x – + : 58074/26693

140 UUII00I0U0UI – + + – + + – + – + – + + – + x – + x – + + : 1697123/244668

IU0UIU0UIU0UI + + x – + x – + + x – + x – + + x – + x – + + : 1698881/242910

141 IU00UUUUUUU00US + + x – + – + x x x x x x x – + – + x – + + + : 6670567/124467

SSS00UUUU + + + – + + + – + + + – + – + x x x x : 426548/6368486

142 UUUUUUUUIU0 + + x – + : 2442/1258

143 0U0IUUU000U + x – + – + + x x x – + – + – + x : 17786/27529

UUUUUSUU0 + + + + x x – + : 27910/17405

144 UUUU0UUUUU0 + x x x x x – + : 1071/907

145 0U0U0UIUU0 + x – + x – + x – + + x x – + : 7844/5105

0UUUUUUUUUUUU0 + x x x x x x x x x x x x – + : 6924/6025

146 00I0U000U0U0 + – + – + + – + x – + – + – + x – + x – + : 351543/203354

U0U0U0UIU0U0U0 + x – + x – + x – + + x – + x – + x – + : 350595/204302

147 IUUUUI + + x x x x – + + : 251/51

148 0S00U0 + – + + + – + – + x – + : 4512/2411

0U0U0U0UI + x – + x – + x – + x – + + : 6034/889

149 UUUUUUUUUI + + : 867/191

150 UUUUU0U0UU00 + x – + x x – + – + : 9088/3861

UUUUU0U0U0U0 + x – + x – + x – + : 8168/4781

151 U0UUUUUUUUU00 + x x x x x x x x x – + – + : 8903/4046

U0UUUUUUUU0U0 + x x x x x x x x – + x – + : 7983/4966

72

1 1 2 4 7

13

25

46

86

16

2

30

2

56

5

10

58

19

78

37

00

69

23

12

94

9

24

22

3

45

31

5

84

76

7

15

85

70

29

66

33

55

48

97

10

38

02

3

19

41

79

1

36

32

42

7

67

95

03

4

12

71

12

00

23

77

83

25

: TALA / PRASTARA :

SANKHYA :

Sl.

No.

UNITS : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

SF / ASN

152 00UUU000UU0 + – + x x x – + – + – + x x – + : 14400/9823

U0USUU0 + x – + + + + x x – + : 14922/9301

153 U0U0UUU0SU0 + x – + x x x – + – + + + x – + : 108656/49914

UUUUUUUUSU0 + + + + x – + : 108904/49666

154 IU0UUU0IUU0UIU0 + + x – + x x x – + – + + x x – + x – + + x – + : 2424571/1207856

UUUSU0U0UIU0 + + + + x – + x – + x – + + x – + : 2425971/1206456

155 0U00UU0U0U0U0 + x – + – + x x – + x – + x – + x – + : 100029/58541

0UUUU0UUUIU0U0 + x x x x – + x x x – + + x – + x – + : 100799/57771

156 IIUUUU0UIUUU0U0 + + – + + x x x x – + x – + + x x x – + x – + : 1207804/733987

IUU0UUUU0UU0UU0U0 + + x x – + x x x x – + x x – + x x – + x – + : 1210628/731163

157 0UUIU0UU00 + x x – + + x – + x x – + – + : 9102/3847

0UUIU0U0U0 + x x – + + x – + x – + x – + : 8182/4767

158 UU0USU00UUUI0 + x – + + + + x – + – + x x x – + + – + : 9836803/2874397

0UU0U0U0UUU0UUS0 + x x – + x – + x – + x x x – + x x – + + + – + : 10343359/2367841

73

1 1 2 4 7

13

25

46

86

16

2

30

2

56

5

10

58

19

78

37

00

69

23

12

94

9

24

22

3

45

31

5

84

76

7

15

85

70

29

66

33

55

48

97

10

38

02

3

19

41

79

1

36

32

42

7

67

95

03

4

12

71

12

00

23

77

83

25

: TALA / PRASTARA :

SANKHYA :

Sl.

No.