15625/15552: Difference between revisions

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{{Wikipedia|Kleisma}}
{{Wikipedia|Kleisma}}


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


== See also ==
== See also ==

Revision as of 01:16, 20 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}^{15625} }[/math]
Special properties reduced
Tenney norm (log2 nd) 27.8564
Weil norm (log2 max(n, d)) 27.8631
Wilson norm (sopfr(nd)) 57
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