55/32

Interval information

Ratio

55/32

Factorization

2^-5 × 5 × 11

[-5 0 1 0 1⟩

Size in cents

937.6317¢

Name

keenanismic supermajor sixth

1oy6, loyo 6th

[math]\displaystyle{ \text{M6}^{5,11} }[/math]

Special properties

10.7814

Weil height (log₂ max(n, d))

11.5627

26

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.23436 bits

55/32, the keenanismic supermajor sixth, is 385/384 (~4.5 ¢) sharper than 12/7, making it more than a bit useful in 11-limit just intonation.

It also happens to be the ratio between the standard A of 440Hz and the nonstandard C of 256Hz occasionally used for mathematical convenience.

See also