Horwell comma

Interval information

Ratio	65625/65536
Factorization	2-16 × 3 × 55 × 7
Monzo	[-16 1 5 1⟩
Size in cents	2.349477¢
Name	horwell comma
FJS name	[math]\displaystyle{ \text{dd}{-2}^{5,5,5,5,5,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	32.002
Weil height (log2 max(n, d))	32.0039
Wilson height (sopfr(nd))	67
Open this interval in xen-calc

The horwell comma (ratio: 65625/65536, monzo: [-16 1 5 1⟩) is a 7-limit comma measuring about 2.35 cents. It is the difference between 32/21, the septimal superfifth, and a stack of five 5/4's octave reduced.

Temperaments

Tempering out this comma leads to the horwell temperament, where 32/21 can be found through a stack of five 5/4's and octave reduction.

See also

• Horwell family, the rank-3 family where it is tempered out
• Horwell temperaments, a collection of rank-2 temperaments where it is tempered out
• Unnoticeable comma