256/255: Difference between revisions

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[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Small comma]]
[[Category:Small commas]]
[[Category:Superparticular]]
[[Category:Superparticular]]

Revision as of 21:59, 20 March 2022

Interval information
Ratio 256/255
Factorization 28 × 3-1 × 5-1 × 17-1
Monzo [8 -1 -1 0 0 0 -1
Size in cents 6.775876 ¢
Names septendecimal kleisma,
255th subharmonic
FJS name [math]\displaystyle{ \text{P1}_{5,17} }[/math]
Special properties square superparticular,
reduced,
reduced subharmonic
Tenney norm (log2 nd) 15.9944
Weil norm (log2 max(n, d)) 16
Wilson norm (sopfr(nd)) 41
Open this interval in xen-calc

256/255, the septendecimal kleisma, or 255th subharmonic, is a small 17-limit superparticular comma about 6.8 cents in size. It forms the amount by which a stack consisting of 15/8 and 17/16 falls short of an octave. It differs from 352/351 (the minthma) by 936/935 – an unnoticeable comma measuring about 1.85 cents.

See also