225/224: Difference between revisions
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+temperament section; clarify some links |
Added content about importance in Septimal meantone. It is naturally important in Marvel as well, but that is evident from the name 'marvel comma'. And Miracle, where it is also tempered, is a pretty natural extension of Marvel. Tags: Mobile edit Mobile web edit |
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The interval of '''225/224''', the '''septimal kleisma''' or '''marvel comma''' is a [[7-limit]] [[superparticular]] ratio. It pops up as the difference between pairs of 7-limit ratios, for example as ([[15/14]])/([[16/15]]) or ([[45/32]])/([[7/5]]). | The interval of '''225/224''', the '''septimal kleisma''' or '''marvel comma''' is a [[7-limit]] [[superparticular]] ratio. It pops up as the difference between pairs of 7-limit ratios, for example as ([[15/14]])/([[16/15]]) or ([[45/32]])/([[7/5]]). | ||
It is also the difference between [[81/80]] and [[126/125]] and is tempered out alongside these two commas in [[Meantone family#Septimal meantone|Septimal meantone]]. | |||
== Temperaments == | == Temperaments == | ||
Revision as of 10:17, 13 June 2021
| Interval information |
marvel comma
reduced
The interval of 225/224, the septimal kleisma or marvel comma is a 7-limit superparticular ratio. It pops up as the difference between pairs of 7-limit ratios, for example as (15/14)/(16/15) or (45/32)/(7/5). It is also the difference between 81/80 and 126/125 and is tempered out alongside these two commas in Septimal meantone.
Temperaments
Tempering out this comma leads to the marvel family of temperaments, which enables marvel chords.
See also
- Marvel family, the family of rank-3 temperaments where it is tempered out
- Marvel temperaments, a collection of rank-2 temperaments where it is tempered out
- Marvel chords
- Small comma
- Gallery of just intervals
- List of superparticular intervals
- Wikipedia: Septimal kleisma