261/256: Difference between revisions

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{| class="wikitable"
{{Infobox Interval
|+Interval information
| Ratio = 261/256
|Ratio
| Name = vicesimononal comma, 29-limit ~sixth tone (HEJI)
|261/256
| Color name = 29o1, tweno unison
|-
| Comma = yes
|[[Smonzos and svals|Subgroup monzo]]
}}
|2.3.29 [5 -6 1⟩
'''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.
|-
 
|Size in [[Cent|cents]]
[[Category:Commas named for their regular temperament properties]]
|33.48719588¢
|-
|Names
|29-limit ~sixth tone (HEJI)
|}
'''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.