225/224: Difference between revisions

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{{Wikipedia|Septimal kleisma}}


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]]).
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
* [[Wikipedia: Septimal kleisma]]


[[Category:7-limit]]
[[Category:7-limit]]

Revision as of 18:35, 15 December 2021

Interval information
Ratio 225/224
Factorization 2-5 × 32 × 52 × 7-1
Monzo [-5 2 2 -1
Size in cents 7.711523¢
Names septimal kleisma,
marvel comma
Color name ryy-2, ruyoyo negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}^{25}_{7} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 15.6211
Weil height (log2 max(n, d)) 15.6276
Wilson height (sopfr(nd)) 33
Open this interval in xen-calc
English Wikipedia has an article on:

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