225/224: Difference between revisions
updated the comma color name |
Marvelma as a product of schismas and garischismas |
||
| Line 16: | Line 16: | ||
As a comma with a single power of 7 in it, it is tremendously useful in terms of bringing prime 7 into the framework of [[5-limit]] [[just intonation|JI]]; tempering it out maps [[7/4]] to the classic augmented sixth, [[225/128]] and enables all of the aforementioned equivalences. | As a comma with a single power of 7 in it, it is tremendously useful in terms of bringing prime 7 into the framework of [[5-limit]] [[just intonation|JI]]; tempering it out maps [[7/4]] to the classic augmented sixth, [[225/128]] and enables all of the aforementioned equivalences. | ||
In terms of commas, it is the difference between [[81/80]] and [[126/125]] | In terms of commas, it is the difference between [[81/80]] and [[126/125]], is tempered out alongside these two commas in [[septimal meantone]]; and the product of two [[Schisma|schismas]] and one [[garischisma]], equivalently of a [[schisma]] and an [[aberschisma]]. In the 11-limit it factors neatly into ([[385/384]])([[540/539]]), and in the 13-limit, ([[351/350]])([[625/624]]) or ([[325/324]])([[729/728]]). | ||
== Temperaments == | == Temperaments == | ||