Horwell comma
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| Ratio | 65625/65536 |
| Factorization | 2-16 × 3 × 55 × 7 |
| Monzo | [-16 1 5 1⟩ |
| Size in cents | 2.3494767¢ |
| Name | horwell comma |
| FJS name | [math]\text{dd}{-2}^{5,5,5,5,5,7}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 n⋅d) | 32.002 |
| Weil height (max(n, d)) | 65625 |
| Benedetti height (n⋅d) | 4300800000 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.42238 bits |
| Comma size | unnoticeable |
| 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