55/32

Interval information

Ratio	55/32
Factorization	2-5 × 5 × 11
Monzo	[-5 0 1 0 1⟩
Size in cents	937.6317¢
Name	keenanismic supermajor sixth
Color name	1oy6, loyo 6th
FJS name	[math]\text{M6}^{5,11}[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	10.7814
Weil height (log2 max(n, d))	11.5627
Wilson height (sopfr(nd))	26
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.23436 bits
[sound info]
open this interval in xen-calc

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

• 64/55 -- its octave complement
• Gallery of just intervals