Punctisma

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Revision as of 21:18, 5 June 2023 by Fredg999 (talk | contribs) (Add ratio in infobox (after page move))
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Interval information
Ratio 43904/43875
Factorization 27 × 3-3 × 5-3 × 73 × 13-1
Monzo [7 -3 -3 3 0 -1
Size in cents 1.143913¢
Name punctisma
Color name s3uz3g33, sathutrizogu 3rd
FJS name [math]\displaystyle{ \text{dd3}^{7,7,7}_{5,5,5,13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 30.8432
Weil norm (log2 max(n, d)) 30.8441
Wilson norm (sopfr(nd)) 72
Comma size unnoticeable
S-expression S14/S15
Open this interval in xen-calc

The punctisma, with a ratio of 43904/43875, is the difference between three 15/14 semitones and a 16/13 neutral third. Its tempering out is characteristic of the 10n family of edos, which approximate both of these intervals within a fraction of a cent. Surprisingly, it is also tempered out in 159edo, 171edo, and 311edo. It was named by Jerdle and Aura from Latin pūnctum ("point") based on both its relation to the 10n family of EDOs as well as its small size.