28812/28561: Difference between revisions

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{{Infobox Interval|Name=Tesseract Comma|Ratio=28812/28561}}
{{Infobox Interval|Name=Tesseract Comma|Ratio=28812/28561}}


'''28812/28561''' (the Tesseract Comma) is a small comma in the 2.3.7.13 subgroup.  It is the amount by which four [[13/7]] sevenths, when octave-reduced, fall short of the [[3/2]] perfect fifth, and the amount by which four [[14/13]] semitones fall short of the [[4/3]] perfect fourth.
'''28812/28561''' (the Tesseract Comma) is a small comma in the 2.3.7.13 subgroup.  It is the amount by which four [[13/7]] sevenths fall short of the [[12/1|twelfth harmonic]], and the amount by which four [[14/13]] semitones fall short of the [[4/3]] perfect fourth.


It can be factored into the [[28672/28561|Voltage Comma]] and the [[1029/1024|Gamelisma]], which provides the 77 & 87 temperament '''Cubical''' (see below); it can also be factored into the [[Octaphore]] plus four [[729/728|Squbemas]] (squbemae?), which makes the Tesseract Comma a useful extension to the rank-3 Octaphore and to rank-2 Unicorn temperaments.
It can be factored into the [[28672/28561|Voltage Comma]] and the [[1029/1024|Gamelisma]], which provides the 77 & 87 temperament '''Cubical''' (see below); it can also be factored into the [[Octaphore]] plus four [[729/728|Squbemas]] (squbemae?), which makes the Tesseract Comma a useful extension to the rank-3 Octaphore and to rank-2 Unicorn temperaments.