The Mathematics of Music

The Anatomy of Taal

A Taal is a repeating rhythmic cycle. Each beat (matra) carries a syllable (bol). Press Play on any circle to watch the cycle revolve, and drag the tempo slider to change the laya.

Teentaal

तीनताल
16 matras·4 + 4 + 4 + 4
Dha1Dhin2Dhin3Dha4Dha5Dhin6Dhin7Dha8Dha9Tin10Tin11Ta12Ta13Dhin14Dhin15Dha16ताल·
Tempo (BPM)120
VilambitMadhyaDrut

The absolute king of rhythmic cycles. Highly symmetrical and deeply mathematical, providing a massive 16-beat canvas for complex percussive improvisations.

Bhajani

भजनी
8 matras·4 + 4
Dhin1Na2Dhin3Dhin4Na5Tin6Na7Dhin8ताल·
Tempo (BPM)100
VilambitMadhyaDrut

A steady, rolling rhythm widely used in devotional music. Its clean, even split creates a comforting momentum that naturally loops back onto itself.

Dadra

दादरा
6 matras·3 + 3
Dha1Dhin2Na3Dha4Tin5Na6ताल·
Tempo (BPM)90
VilambitMadhyaDrut

A lively, syncopated cycle divided into two equal halves. It swings like a waltz and is the backbone of light semi-classical forms like Thumri.

Sam · सम — the downbeat, beat 1 (anchor of the cycle)Khali · खाली — the "empty" beat (wave instead of clap)Matra · मात्रा — every other beat in the cycle