261/256

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Revision as of 10:07, 24 September 2023 by Francium (talk | contribs) (typo)
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Interval information
Ratio 261/256
Subgroup monzo 2.3.29 [-8 2 1
Size in cents 33.4872¢
Name 29-limit ~sixth tone (HEJI)
Color name 29o1, tweno unison
FJS name [math]\displaystyle{ \text{P1}^{29} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 16.0279
Weil norm (log2 max(n, d)) 16.0558
Wilson norm (sopfr(nd)) 51
Comma size medium
Open this interval in xen-calc

261/256, or the 29-limit ~sixth tone, is a 2.3.29 subgroup comma. It is the amount by which 29/16 (the 29th harmonic) exceeds the Pythagorean minor seventh (16/9). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 29-limit (prefix???) interval.