15625/15552: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 15625/15552
| Monzo = -6 -5 6
| Cents = 8.10728
| Name = kleisma
| Name = kleisma
| Color name = y<sup>6</sup>-2, Tribiyo comma
| Color name = y<sup>6</sup>-2, Tribiyo comma
| FJS name = dd-2<sup>15625</sup>
| Comma = 1
| Sound =  
}}
}}
{{Wikipedia|Kleisma}}
{{Wikipedia|Kleisma}}
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* [[Kleisma]] (disambiguation page)
* [[Kleisma]] (disambiguation page)


[[Category:5-limit]]
[[Category:Small commas]]
[[Category:Kleismic]]
[[Category:Kleismic]]

Revision as of 11:44, 25 October 2022

Interval information
Ratio 15625/15552
Factorization 2-6 × 3-5 × 56
Monzo [-6 -5 6
Size in cents 8.107279¢
Name kleisma
Color name y6-2, Tribiyo comma
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 27.8564
Weil norm (log2 max(n, d)) 27.8631
Wilson norm (sopfr(nd)) 57
Comma size small
S-expression S252⋅S26
Open this interval in xen-calc
English Wikipedia has an article on:

15625/15552, which is sometimes called the kleisma, is the 5-limit comma that separates a stack of six 6/5's with 3/1. It is tempered out in Hanson temperament and the kleismic family. Like the magic comma, instead of being tempered out in 12edo, it is blown up to a whole semitone − six 6/5's make an augmented eleventh (18 steps), while 3/1 is a perfect tweltfth (19 steps).

See also