Semicomma: Difference between revisions
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{{Infobox Interval | |||
| Ratio = 2109375/2097152 | |||
| Name = semicomma, Fokker comma | |||
| Comma = yes | |||
}} | |||
The '''semicomma''' or '''Fokker comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament. | The '''semicomma''' or '''Fokker comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament. | ||
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* Semicomma majeur, aka [[15625/15552|kleisma]] | * Semicomma majeur, aka [[15625/15552|kleisma]] | ||
[[Category:Orson]] | [[Category:Orson]] | ||
Revision as of 16:13, 27 October 2022
| Interval information |
Fokker comma
reduced harmonic
The semicomma or Fokker comma (ratio: 2109375/2097152, monzo: [-21 3 7⟩), is an interval of 10.061 cents which is the amount by which three classic augmented second intervals of 75/64 exceed 8/5. That means (75/64)3/(8/5), which can also be written ((9/8)(25/24))3/(8/5). In terms of commas, it factors into simpler commas as (15625/15552)(32805/32768), the kleisma and the schisma. Tempering it out leads to orson temperament.
See also
Intervals with the word "semicomma" in the name:
- Medium semicomma, aka sensipent comma
- Septimal semicomma, aka starling comma
- Semicomma majeur, aka kleisma