Wesley comma
(Redirected from 78125/73728)
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| Ratio | 78125/73728 |
| Factorization | 2-13 × 3-2 × 57 |
| Monzo | [-13 -2 7⟩ |
| Size in cents | 100.286¢ |
| Name | wesley comma |
| Color name | Ly7-2, Lasepyo negative 2nd |
| FJS name | [math]\text{ddd}{-2}^{5,5,5,5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 32.4234 |
| Weil height (log2 max(n, d)) | 32.507 |
| Wilson height (sopfr(nd)) | 67 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.29122 bits |
| Comma size | large |
| open this interval in xen-calc | |
The wesley comma (monzo: [-13 -2 7⟩, ratio: 78125/73728) is a large 5-limit comma measuring about 100 cents. It is unchanged in Wesley Woolhouse's 7/26-comma meantone. It is the amount by which a stack of seven classical major thirds (5/4) octave-reduced exceeds the Pythagorean major second (9/8).
Temperaments
Tempering out this comma leads to the wesley temperament. See Wesley family for a collection of rank-2 temperaments, where it is tempered out.
Its 100-cent size is very close to a 12edo semitone, though it does not have the psychoacoustic significance as simpler intervals around it. It is tempered as such in the magnesium temperament in the 5-limit, with the tiny comma [-157 -24 84⟩ being the difference between 12 wesley commas and 1 octave.