Amity comma: Difference between revisions
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The '''amity comma''' ({{monzo| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, 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 | The '''amity comma''' ({{monzo| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, 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 an [[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 == | ||
Revision as of 01:54, 4 December 2024
| Interval information |
The amity comma ([9 -13 5⟩ = 1600000/1594323) is an interval of 6.154 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 an 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 it out leads to the amity family of temperaments.
Etymology
The corresponding temperament was discovered first, known as amt (for acute minor third) no later than early 2002[1]. 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[2][3].