Undecimal octatonic comma: Difference between revisions

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|Ratio = 214990848/214358881
|Ratio = 214990848/214358881
|Monzo = 15 8 0 0 -8
|Monzo = 15 8 0 0 -8
|Name = octatonic comma
|Name = undecimal octatonic comma
|Color name = 1u<sup>8</sup>2, quadbilu 2nd
|Color name = 1u<sup>8</sup>2, quadbilu 2nd
|Comma = yes
|Comma = yes
}}
}}
 
The '''Octatonic comma''', 214990848/214358881, is the difference between 8 [[12/11]]s and the octave. Since equates eight of one interval with an octave, it is tempered out if and only if the number of notes in the octave is a multiple of 8.
The '''undecimal octatonic comma''', 214990848/214358881, is the amount by which a stack of eight [[12/11]] intervals exceeds the octave. Since it equates eight of one interval with an octave, it is tempered out if and only if the number of notes in the octave is a multiple of 8.


== Temperaments ==
== Temperaments ==
Tempering it out results in the octatonic temperament. For technical data see [[8th-octave temperaments#Octatonic]].
Tempering it out results in the octatonic temperament. For technical data see [[8th-octave temperaments#Octatonic]].
[[Category:Commas named for their periods per equave]]