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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{{Infobox Interval
{{Infobox Interval
| Ratio = 78125/73728
| Ratio = 78125/73728
| Name = Wesley comma
| Name = wesley comma
| Color name = Ly<sup>7</sup>-2, Lasepyo negative 2nd
| Color name = Ly<sup>7</sup>-2, Lasepyo negative 2nd
| Comma = yes
| Comma = yes
}}
}}


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]]. 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)]].  


== Usage ==
== 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.
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.
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 {{monzo| -157 -24 84 }} being the difference between 12 wesley commas and 1 octave.
 
[[Category:Wesley]]