raagawheel

The name is the number

Katapayadi sankhya

Long before checksums, Sanskrit scholars used consonants as digits. In the katapayadi scheme each consonant carries a value, and the melakarta names were chosen — sometimes padded — so that the first two syllables spell the raga’s own number in reverse. Kha (2) and ra (2) make Kharaharapriya mela 22. That is why Sankarabharanam formally wears a Dheera- (dha = 9, ra = 2 → 29), why Kalyani goes by Mecha-kalyani (ma = 5, ca = 6 → 65), and why Todi answers to Hanuma-todi (ha = 8, na = 0 → 8).

Khara

2from consonant kha2from consonant ra22

Kha carries kha = 2, ra carries ra = 2; read the two digits backwards to get the mela number.

Open Kharaharapriya

The consonant tables

Two traps for the romanized reader: English “ch” is usually the unaspirated ca (= 6), and the dental ta-varga runs 6–9 then 0 — it does not repeat the retroflex 1–5. In conjunct clusters the last consonant usually carries the value, though a few traditional readings differ (each such case is noted on its raga’s page).

ka-varga

  • ka1
  • kha2
  • ga3
  • gha4
  • ṅa5

ca-varga

  • ca6
  • cha7
  • ja8
  • jha9
  • ña0

ṭa-varga (retroflex)

  • ṭa1
  • ṭha2
  • ḍa3
  • ḍha4
  • ṇa5

ta-varga (dental)

  • ta6
  • tha7
  • da8
  • dha9
  • na0

pa-varga

  • pa1
  • pha2
  • ba3
  • bha4
  • ma5

ya · ra · la · va · śa · ṣa · sa · ha

  • ya1
  • ra2
  • la3
  • va4
  • śa5
  • ṣa6
  • sa7
  • ha8

The scheme is far older than the melakarta system — it dates astronomical and mathematical texts across a millennium of Indian scholarship. Govindacharya’s 18th-century sampurna-mela names simply put an ancient indexing trick to musical work.