Wesley comma: Difference between revisions
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Saying this can be "used as an independent interval" is misleading cuz no one can hear it directly |
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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]]. It is the amount by which a stack of seven [[5/4|classical major thirds (5/4)]] octave-reduced exceeds the [[9/8|Pythagorean major second (9/8)]]. | 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 [[eigenmonzo|unchanged]] in [[Wesley Woolhouse]]'s [[7/26-comma meantone]]. It is the amount by which a stack of seven [[5/4|classical major thirds (5/4)]] octave-reduced exceeds the [[9/8|Pythagorean major second (9/8)]]. | ||
== Temperaments == | == Temperaments == | ||
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[[Category:Wesley]] | [[Category:Wesley]] | ||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] | |||
Latest revision as of 02:43, 4 November 2024
| Interval information |
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.