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]] | ||
Latest revision as of 08:47, 9 October 2026
| Interval information |
amiton
The amity comma or amiton (monzo: [9 -13 5⟩, ratio: 1600000/1594323) is a small 5-limit comma of 6.15 cents, the amount by which five minor whole tones (10/9) exceed the 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 commas ((2187/2048)/(81/80)5), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)3).
Temperaments
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
The corresponding temperament was discovered first and named by Gene Ward Smith as acute minor third or amt in 2001–2002[1][2]. The temperament was renamed to amity, and the comma was at one point dubbed amitisma, both by Gene Ward Smith in late 2002, though it was amity comma that stuck[3][4].
In 2025, Vector and Lériendil proposed amiton by analogy with graviton, as both amity and gravity are on the syntonic–chromatic equivalence continuum.