Wesley comma: Difference between revisions

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The '''wesley comma''' ([[monzo]]: {{monzo|-13 -2 7}}, [[ratio]]: 78125/73728) is a [[large comma|large]] [[5-limit]] [[comma]] measuring about 100 [[cent]]s. It is unchanged in [[Wesley Woolhouse]]'s [[7/26-comma meantone]].
The '''wesley comma''' ([[monzo]]: {{monzo|-13 -2 7}}, [[ratio]]: 78125/73728) is a [[large comma|large]] [[5-limit]] [[comma]] measuring about 100 [[cent]]s. It is unchanged in [[Wesley Woolhouse]]'s [[7/26-comma meantone]].


== Temperaments ==
== Usage ==
Tempering out this comma leads to the [[wesley]] temperament. See [[Wesley family]] for a collection of rank-2 temperaments, where it is tempered out.
Tempering out this comma leads to the [[wesley]] temperament. See [[Wesley family]] for a collection of rank-2 temperaments, where it is tempered out.
Given the 100 cent size, which directly commends to the interpretation as an approximation of a [[12edo]] semitone, wesley comma can be used as an independent interval. It is tempered as such in the [[magnesium]] temperament in the 5-limit, with the tiny comma {{monzo|-157 -24 84}} being the difference between 12 wesley commas and 1 octave.

Revision as of 11:45, 26 February 2024

Interval information
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]\displaystyle{ \text{ddd}{-2}^{5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 32.4234
Weil norm (log2 max(n, d)) 32.507
Wilson norm (sopfr(nd)) 67
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.

Usage

Tempering out this comma leads to the wesley temperament. See Wesley family for a collection of rank-2 temperaments, where it is tempered out.

Given the 100 cent size, which directly commends to the interpretation as an approximation of a 12edo semitone, wesley comma can be used as an independent interval. 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.