Gammic comma: Difference between revisions

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The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and eleven [[6/5|just minor thirds]], that is, (5/4)9/(6/5)11. This can also be written as ~~(3/2)/~~(25/24)10, that is, the difference between a stack of ten [[25/24|classic chromatic semitones]] and a [[3/2|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).

The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4|just major thirds (5/4)]] and eleven [[6/5|just minor thirds (6/5)]], that is, (6/5)11/(5/4)9. This can also be written as (25/24)10/(3/2), that is, the difference between a stack of ten [[25/24|classic chromatic semitones]] and a [[3/2|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).

== Temperaments ==

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-The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and eleven [[6/5|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24|classic chromatic semitones]] and a [[3/2|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).
+The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4|just major thirds (5/4)]] and eleven [[6/5|just minor thirds (6/5)]], that is, (6/5)<sup>11</sup>/(5/4)<sup>9</sup>. This can also be written as (25/24)<sup>10</sup>/(3/2), that is, the difference between a stack of ten [[25/24|classic chromatic semitones]] and a [[3/2|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).
 == Temperaments ==