Cataharry comma: Difference between revisions
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Created page with "{{Infobox Interval | Icon = | Ratio = 19683/19600 | Monzo = -4 9 -2 -2 | Cents = 7.31577 | Name = cataharry comma | Color name = | FJS name = | Sound = }} The '''cataharry..." |
placed a link for "fourth complement", as this concept will hopefully be fleshed out |
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The '''cataharry comma''' ('''19683/19600''') is a [[7-limit]] [[comma]] measuring about 6.1 cents. It is the difference between the [[81/70|septimal ultramajor second (81/70)]] and its fourth complement. In terms of commas, it is the difference between [[81/80]] and [[245/243]]. | The '''cataharry comma''' ('''19683/19600''') is a [[7-limit]] [[comma]] measuring about 6.1 cents. It is the difference between the [[81/70|septimal ultramajor second (81/70)]] and its [[fourth complement]]. In terms of commas, it is the difference between [[81/80]] and [[245/243]]. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 19:22, 6 June 2021
| Interval information |
The cataharry comma (19683/19600) is a 7-limit comma measuring about 6.1 cents. It is the difference between the septimal ultramajor second (81/70) and its fourth complement. In terms of commas, it is the difference between 81/80 and 245/243.
Temperaments
Tempering out this comma leads to the rank-3 cataharry family of temperaments, which splits the just perfect fourth (4/3) into two exact hemifourths, each representing 81/70~280/243.
See also
- Cataharry family, the rank-3 family where it is tempered out
- Cataharry temperaments, a collection of rank-2 temperaments where it is tempered out
- Small comma