Amity comma: Difference between revisions
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{{Infobox Interval | |||
| Ratio = 1600000/1594323 | |||
| Name = amity comma | |||
| Comma = yes | |||
}} | |||
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>). Tempering it out leads to the [[amity family]] of temperaments. | 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>). Tempering it out leads to the [[amity family]] of temperaments. | ||
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* [[Small comma]] | * [[Small comma]] | ||
[[Category:Amity|#]] <!-- key article --> | [[Category:Amity|#]] <!-- key article --> | ||
Revision as of 16:07, 27 October 2022
| 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). Tempering it out leads to the amity family of temperaments.