Amity comma: Difference between revisions
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The '''amity comma''' or '''amiton''' ({{monzo|legend=1| 9 -13 5 }}, [[ratio]]: 1600000/1594323) is a [[small comma|small]] [[5-limit]] [[comma]] of 6. | The '''amity comma''' or '''amiton''' ({{monzo|legend=1| 9 -13 5 }}, [[ratio]]: 1600000/1594323) is a [[small comma|small]] [[5-limit]] [[comma]] of 6.15 [[cent]]s, the amount by which five [[10/9|minor whole tones (10/9)]] exceed the [[27/16|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between a [[Pythagorean apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>). | ||
== Temperaments == | == Temperaments == | ||
Tempering | [[Tempering out]] this comma leads to the 5-limit version of the [[amity]] temperament. | ||
See [[Amity family]] for the [[family of temperaments]] where it is tempered out. | |||
== Etymology == | == Etymology == | ||
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In 2025, [[User: VectorGraphics|Vector]] and [[Lériendil]] proposed ''amiton'' by analogy with [[graviton]], as both amity and gravity are on the syntonic–chromatic equivalence continuum. | In 2025, [[User: VectorGraphics|Vector]] and [[Lériendil]] proposed ''amiton'' by analogy with [[graviton]], as both amity and gravity are on the syntonic–chromatic equivalence continuum. | ||
== | == References == | ||
[[Category:Amity| | [[Category:Amity| ]] <!-- key article --> | ||
[[Category:Commas named for their regular temperament properties]] | [[Category:Commas named for their regular temperament properties]] | ||