Wesley comma
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Ratio | 78125/73728 |
Factorization | 2^{-13} × 3^{-2} × 5^{7} |
Monzo | [-13 -2 7⟩ |
Size in cents | 100.286¢ |
Name | wesley comma |
Color name | Ly^{7}-2, Lasepyo negative 2nd |
FJS name | [math]\text{ddd}{-2}^{5,5,5,5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 32.4234 |
Weil height (log_{2} 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.