261/256

Interval information

Ratio	261/256
Subgroup monzo	2.3.29 [-8 2 1⟩
Size in cents	33.4872¢
Names	vicesimononal comma, 29-limit ~sixth tone (HEJI)
Color name	29o1, tweno unison
FJS name	[math]\displaystyle{ \text{P1}^{29} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	16.0279
Weil height (log2 max(n, d))	16.0558
Wilson height (sopfr(nd))	51
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.50549 bits
Comma size	medium
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261/256, the vicesimononal comma, or the 29-limit ~sixth tone as is known in Helmholtz-Ellis notation, is a medium 2.3.29 subgroup comma. It is the amount by which 29/16 (the octave-reduced 29th harmonic) exceeds the Pythagorean minor seventh (16/9). It is significant in Helmholtz-Ellis notation and Functional Just System as the formal comma to translate a Pythagorean interval to a nearby undetricesimal interval.