261/256: Difference between revisions

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 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

Latest revision as of 17:47, 4 September 2025

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 vicesimononal interval.

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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 comma|medium]] 2.3.29 [[subgroup]] [[comma]]. It is the amount by which [[29/16|29/16 (the octave-reduced 29th harmonic)]] exceeds the [[16/9|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.
+'''261/256''', the '''vicesimononal comma''', or the '''29-limit ~sixth tone''' as is known in [[Helmholtz-Ellis notation]], is a [[medium comma|medium]] 2.3.29 [[subgroup]] [[comma]]. It is the amount by which [[29/16|29/16 (the octave-reduced 29th harmonic)]] exceeds the [[16/9|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 vicesimononal interval.
 [[Category:Commas named for their regular temperament properties]]