Semicomma: Difference between revisions

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'''2109375/2097152''' = {{Monzo| -21 3 7 }}, called the '''semicomma''' or '''Fokker comma''', 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)^3/(8/5), which can also be written ((9/8)*(25/24))^3/(8/5). 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.  


== See also ==
== See also ==
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[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Small commas]]
[[Category:Small commas]]
[[Category:Orson]]

Revision as of 12:29, 15 May 2022

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: