Katapayadi sankhya

The katapayadi sankhya is a way of determining the number of a melakarta ragam from the first two syllables of the name of the raga. Melakarta is a collection of fundamental Ragas (musical scales in Carnatic music (South Indian classical music Rāga ( Sanskrit, lit "colour" or "mood" or rāgam in Carnatic music) refers to melodic modes used Rāga ( Sanskrit, lit "colour" or "mood" or rāgam in Carnatic music) refers to melodic modes used ^[1]

Indian Music
Indian classical music
Hindustani music
Carnatic music
List of Carnatic composers
List of Carnatic singers


Concepts
Raga ·Thaat ·Melakarta · Katapayadi sankhya
Śruti · Swara · Saptak
Tala · Mudra ·Gharana

1 How to use it
- 1.1 Katapayadi sankhya
- 1.2 कटपयादि संख्या
  - 1.2.1 An Algorithm to derive the Swarasthanas
2 Links
3 References

How to use it

Following is the Katapayadi sankhya in the Roman alphabet and in Devanagari. The music of India' includes multiple varieties of folk, popular, pop, and classical music. The origins of Indian classical music can be found from the oldest of Scriptures part of the Hindu tradition the Vedas. Hindustani Classical Music ( Hindi: हिन्दुस्तानी शास्त्रीय संगीत Urdu: ہندوستانی شاستریے سنگیت Carnatic music (also spelled Karnatak music or Karnatik music, and originally called Karṇāṭaka sangīta or Karṇāṭaka sangītam in India The Carnatic classical music tradition gained impetus in the 15th century through the works of Purandara Dasa, one of the foremost Haridasa Saints of the Vijayanagara Carnatic music is the classical music of South India Some of the more popular carnatic singers are Alathur Brothers Ariyakudi Ramanuja Iyengar Rāga ( Sanskrit, lit "colour" or "mood" or rāgam in Carnatic music) refers to melodic modes used A thaat (ঠাট also transliterated as that) is a mode in Hindustani music. Melakarta is a collection of fundamental Ragas (musical scales in Carnatic music (South Indian classical music The śruti ( Sanskrit "thing heard" "sound" written also sruti or shruti is the smallest interval of the tuning system in for the town in Nepal see Swara Nepal The notes or swaras, of Indian music are shadja rishabh gandhar madhyam pancham dhaivat and nishad Saptak means "gamut" or "the series of seven notes" In Indian classical music, Tala ( Sanskrit tāla literally a "clap" is a rhythmical pattern that determines the rhythmical structure of a composition Mudra is the unique signature of a Carnatic music composer which is woven into some or all of their respective compositions In Hindustani music, a gharānā is a system of social organization linking musicians or dancers by lineage and/or apprenticeship and by adherence to a particular

	1	2	3	4	5	6	7	8	9	0
Kadi nava	ka	kha	ga	gha	nga	ca	cha	ja	jha	nya
Tadi nava	ṭa	ṭha	ḍa	ḍha	ṇa	ta	tha	da	dha	na
Padi pancha	pa	pha	ba	bha	ma
Yadi ashta	ya	ra	la	va	śha	sha	sa	ha

कटपयादि संख्या

	१	२	३	४	५	६	७	८	९	०
कादि नव	क	ख	ग	घ	ङ	च	छ	ज	झ	ञ
टादि नव	ट	ठ	ड	ढ	ण	त	थ	द	ध	न
पादि पंच	प	फ	ब	भ	म
यादि अष्ट	य	र	ल	व	श	ष	स	ह

To use the sankhya, take the first two syllables of the name of the ragam, and locate the corresponding columns on the table. Rāga ( Sanskrit, lit "colour" or "mood" or rāgam in Carnatic music) refers to melodic modes used Then take the two numbers and reverse them to get the mela number. The reversal is to account for the difference in endianness---the traditional Indian way of denoting numbers used the least significant bit first (little endian) while numbers today are written most significant bit first (big endian).

Katapayadi sankhya is a simplification of Āryabhaṭa's Sanskrit numerals, due probably to Haridatta from Kerala, c. Āryabhaṭa ( Devanāgarī: आर्यभट (AD 476 &ndash 550 is the first in the line of great mathematician-astronomers from the classical age of Indian mathematics The Āryabhaṭa numeration is a system of numerals based on Sanskrit phonemes. Kerala ( Malayalam: {{Kerala in Malayalam}}; 620-700. Events By Place Byzantine Empire The Slavs attack Thessaloniki. Events By Place North America The Mount Edziza volcanic complex erupts in northern British Columbia, Canada.

An Algorithm to derive the Swarasthanas

The SwaraSthanas 'Sa' and 'Pa' are fixed, and here is how to get the other SwaraSthanas from the melakarta number:

Melakartas 1 through 36 have Ma1 and those from 37 through 72 have Ma2.
The other notes are derived by noting the (integral part of the) quotient and remainder when the melakarta number is divided by 6.
'Ri' and 'Ga' positions: the raga will have:
- 1. Ri1 and Ga1 if the quotient is 0
  2. Ri1 and Ga2 if the quotient is 1
  3. Ri1 and Ga3 if the quotient is 2
  4. Ri2 and Ga2 if the quotient is 3
  5. Ri2 and Ga3 if the quotient is 4
  6. Ri3 and Ga3 if the quotient is 5
'Da' and 'Ni' positions: the raga will have:
- 1. Da1 and Ni1 if remainder is 1
  2. Da1 and Ni2 if remainder is 2
  3. Da1 and Ni3 if remainder is 3
  4. Da2 and Ni2 if remainder is 4
  5. Da2 and Ni3 if remainder is 5
  6. Da3 and Ni3 if remainder is 0

Example:

Lets take the raga Dheerasankarabharanam. Dheerasankarabharanam (sanskrit धीरशँकराभरनम् tamil தீரசங்கராபரணம் commonly known as Sankarabharanam is a Rāga (musical The katapayadi scheme associates dha $\leftrightarrow$ 9 and ra $\leftrightarrow$ 2, hence the raga's melakarta number is 29 (92 reversed).

Now $29\le36$ , hence Dheerasankarabharanam has Ma1. Divide 29 by 6, the quotient is 4 and the remainder 5. In Mathematics, a quotient is the result of a division. For example when dividing 6 by 3 the quotient is 2 while 6 is called the dividend, and 3 the Therefore, this raga has Ri2,Ga3 (quotient is 4) and Da2,Ni3 (remainder is 5).

This raga's scale is: Sa Ri2 Ga3 Ma1 Pa Da2 Ni3 SA.

Now lets take the raga "MechaKalyani". From the coding scheme Ma $\leftrightarrow$ 5 Cha $\leftrightarrow$ 6, hence the raga's melakarta number is 65 (56 reversed).

65 is greater than 36. So MechaKalyani has Ma2.

If the raga's number is greater than 36 subtract 20 from it. 65-36=29. 29 divided by 6 : quotient=4, remainder=5 Ri2 Ga3 occurs. Da2 Ni3 occurs. So MechaKalyani has the notes: Sa Ri2 Ga3 Ma2 Pa Da2 Ni3 SA

You can play with the other ragas in the Melakarta Table. Melakarta is a collection of fundamental Ragas (musical scales in Carnatic music (South Indian classical music

References

^ http://citeseer.ist.psu.edu/532626.html Katapayadi coding scheme

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