Landscape comma: Difference between revisions
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The '''landscape comma''' ({{monzo|legend=1| -4 6 -6 3 }}, [[ratio]]: 250047/250000) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a size of 0. | The '''landscape comma''' ({{monzo|legend=1| -4 6 -6 3 }}, [[ratio]]: 250047/250000) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a size of about 0.325 [[cent]]s. It is the amount by which three [[63/50]]'s exceed an [[octave]], the amount by which three [[225/224|septimal kleismas]] fall short of the [[Pythagorean comma]], and also the difference of [[2401/2400]] and [[4375/4374]], the two smallest 7-limit [[superparticular]] commas. | ||
In the [[11-limit]], it factors into ([[9801/9800]])⋅([[151263/151250]]). | |||
== Temperaments == | == Temperaments == | ||
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See [[Landscape family]] for the rank-3 family of temperaments where it is tempered out. See [[Landscape microtemperaments]] for a collection of rank-2 temperaments where it is tempered out. | See [[Landscape family]] for the rank-3 family of temperaments where it is tempered out. See [[Landscape microtemperaments]] for a collection of rank-2 temperaments where it is tempered out. | ||
== Etymology == | |||
This comma was named by [[Yahya Abdal-Aziz]] in 2005, referring to landscape painting where there is a three-layer technique, which in turn was a reference to [[Gene Ward Smith]]'s description of the comma as the ''three-layer comma''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_58180.html#58217 Yahoo! Tuning Group | ''Common commas and 768'']</ref>. | |||
== References == | |||
[[Category:Landscape]] | [[Category:Landscape]] | ||
[[Category:Commas | [[Category:Commas named for their periods per equave]] | ||