Punctisma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 43904/43875
| Ratio = 43904/43875
| Monzo = 7 -3 -3 3 0 -1
| Monzo = 7 -3 -3 3 0 -1
Line 10: Line 9:
}}
}}


'''43904/43875''' is the difference between 3 [[15/14]] semitones and a [[16/13]] neutral third. It's 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]].  
'''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]].  


[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Unnoticeable commas]]
[[Category:Unnoticeable commas]]

Revision as of 13:34, 23 March 2022

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(s) missing ? 
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
Open this interval in xen-calc

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.

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