261/256: Difference between revisions

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Added Infobox Interval
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|Color name = 29o1, tweno unison
|Color name = 29o1, tweno unison
|Comma = yes
|Comma = yes
|}
}}
'''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.
'''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.

Revision as of 10:07, 24 September 2023

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.

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