405/392: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 405/392 | | Ratio = 405/392 | ||
| Name = greenwoodma | | Name = greenwoodma, smaller breedsmic half-apotome | ||
| Color name = rry-2, ruruyo negative 2nd | | Color name = rry-2, ruruyo negative 2nd | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''405/392''', the '''greenwoodma''', is a [[medium comma|medium]] [[7-limit]] [[comma]]. It is the difference between [[8/5]] and a stack of two [[9/7]]'s. In terms of commas, it is the | '''405/392''', the '''greenwoodma''', is a [[medium comma|medium]] [[7-limit]] [[comma]]. It is the difference between [[8/5]] and a stack of two [[9/7]]'s. In terms of commas, it is the product of the [[81/80|syntonic comma (81/80)]] and the [[50/49|jubilisma (50/49)]]. | ||
In the 11-limit, it factors into simpler commas as ([[45/44]])⋅([[99/98]]). | |||
== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma leads to the rank-3 | [[Tempering out]] this comma leads to the rank-3 [[greenwoodmic]] temperament. This temperament splits a [[~]][[5/2]] in two, each representing ~[[14/9]]. See [[Greenwoodmic temperaments]] for a collection of rank-2 temperaments where it is tempered out. | ||
[[ | Tempering out instead [[2401/2400]] equates this with [[1323/1280]] and sets both equal to [[sqrt(2187/2048)]]. | ||
== Notation == | == Notation == | ||