Katapayadi System
Origin: Ancient India / Sanskrit · Era: c. 683 CE
An ancient Indian encoding system used in Sanskrit literature and Vedic mathematics. Assigns numerical values to Sanskrit consonants in a specific pattern.
An ancient Indian encoding system used in Sanskrit literature and Vedic mathematics. Assigns numerical values to Sanskrit consonants in a specific pattern.
The Katapayadi system is an alphanumeric encoding where Sanskrit consonants map to digits 0-9 in four groups (ka-, ta-, pa-, ya-groups). Vowels carry no value. Used to encode mathematical constants, astronomical data, and dates into memorable Sanskrit verses. The 72 Melakarta ragas of South Indian Carnatic music are still named using Katapayadi encoding.
- Katapayadi Value
- Reduced Form
How does Katapayadi encoding work?
Sanskrit consonants map to digits 0-9 in four groups (ka-, ta-, pa-, ya-). Vowels are ignored; only the last consonant of a conjunct cluster counts.
How is it used in Carnatic music?
The 72 Melakarta ragas are named using Katapayadi. The first two syllables encode the raga's position number when reversed.
What historical texts use it?
Aryabhata's work and the Kerala school of mathematics employed the system to encode astronomical constants into memorable verse.