Hexatonic

Six notes, free for everyone

Support these free tools

Hexatonic, like every free tool from Nathaniel School of Music, is free for musicians and students. If it has helped you, a gift keeps it free and ad-free. Thank you.

Give any amount you like — there is no upper limit.

PayPalpaypal.me/jasonzac ↗
GPay / UPI

Jason Zachariah

UPI QR code for Jason Zachariah, no fixed amount

Scan with Google Pay, PhonePe or any UPI app.
The code carries no fixed amount — you type it in your own app.

Bank transfer — for a larger gift›

UPI apps set their own per-transfer ceilings. A NEFT or IMPS transfer has none.

Account
Nathaniel School Of Music
Bank
HDFC Bank
A/C No
50200038076306
IFSC
HDFC0001748
Branch
Wilson Garden, Bangalore

Contributions go to Jason Zac · Nathaniel School of Music

Rhythm reference

Which bar does it land on?

Play a scale in accented groups and the accent drifts across the bar line. Pick your settings to see how many bars pass before the scale’s first note and the accent land together on beat 1.

It works for any scale, five notes to eight.

Bars to land

Rows are how many notes you play in each beat. Columns are how often the accent comes.

notes per beatgroups of 3tisragroups of 4chatusragroups of 5khandagroups of 6groups of 7misragroups of 9sankeerna
8ths3bars24 notes · 9s3bars24 notes · 9s · locked15bars120 notes · 43s3bars24 notes · 9s21bars168 notes · 60s9bars72 notes · 26s
triplets1bar12 notes · 3s · locked1bar12 notes · 3s · locked5bars60 notes · 14s1bar12 notes · 3s · locked7bars84 notes · 20s3bars36 notes · 9s
16ths3bars48 notes · 9s3bars48 notes · 9s · locked15bars240 notes · 43s3bars48 notes · 9s21bars336 notes · 60s9bars144 notes · 26s
sextuplets1bar24 notes · 3s · locked1bar24 notes · 3s · locked5bars120 notes · 14s1bar24 notes · 3s · locked7bars168 notes · 20s3bars72 notes · 9s

Amber takes more than 4 bars. “Locked” means the accent is back on beat 1 at the start of every bar. With these settings, groups of 5 take 15 bars in 16ths and 5 in triplets.

Quickest to land

1 bartriplets · groups of 3
1 barsextuplets · groups of 3
1 bartriplets · groups of 4
1 barsextuplets · groups of 4
1 bartriplets · groups of 6
1 barsextuplets · groups of 6

Try one on the practice screen →

Tihai: a phrase played three times that ends on beat 1

Play one phrase three times with two equal gaps, and pick the gap so the last note falls on beat 1 of a new cycle. Carnatic musicians call the gap the karvai and beat 1 sam.

1gap (karvai), in pulses
17pulses in all
1cycle of 4/4

Ta Din Gi Na Tom ×3 · gap 1

cycle – / 2beat – / 4
1

Cream, amber and grey are the three repetitions; hollow squares are the gaps. The square marked 1 is the last note. It opens the last row on beat 1, 1 cycle in.

Every phrase length that works in 4/4

Carnatic names for these counts

Carnatic music names each count: tisra (3), chatusra (4), khanda (5), misra (7) and sankeerna (9). Here they name phrases of that many notes, such as phrases of 5 (khanda). The same names also describe how many pulses fill one beat, which is called the gati. Beat 1 of the cycle is sam.

3 · Tisra

Ta Ki Ta

from tri, three

4 · Chatusra

Ta Ka Di Mi

caturaśra, four-sided

5 · Khanda

Ta Din Gi Na Tom

piece, section

7 · Misra

Ta Ka Di Mi Ta Ki Ta

mixed — because 7 = 3 + 4

9 · Sankeerna

Ta Ka Di Mi Ta Din Gi Na Tom

complex — because 9 = 4 + 5

Shapes of changing group sizes (yati)

Growing 3 → 4 → 5 → 6 → 7 is srotovaha, a river widening from its source. Its mirror, shrinking, is gopuccha, a cow’s tail. There are six shapes.

Sama

5 – 5 – 5 – 5 – 5

even

Srotovaha

3 – 4 – 5 – 6 – 7

a river widening from its source

Gopuccha

7 – 6 – 5 – 4 – 3

a cow's tail, tapering

Mridanga

3 – 4 – 5 – 4 – 3

the drum — narrow ends, fat middle

Damaru

5 – 4 – 3 – 4 – 5

hourglass drum — pinched waist

Vishama

4 – 7 – 3 – 9 – 5

uneven, free-form