33/32: Difference between revisions
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→See also: added another sound example |
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[32/31]] | * [[32/31]] | ||
* [[File:Ji-33-32-csound-foscil-220hz.mp3]] [[:File:Ji-33-32-csound-foscil-220hz.mp3|sound info]] | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||
Revision as of 15:26, 12 July 2020
| Interval information |
reduced,
reduced harmonic
[sound info]
The al-Farabi (Alpharabius) quarter-tone, 33/32, is a superparticular ratio which differs by a keenanisma, (385/384), from the septimal quarter tone (36/35). Raising a just perfect fourth (4/3) by the al-Farabi quarter-tone leads to the 11/8 super-fourth. Raising it instead by 36/35 leads to the septimal super-fourth (48/35) which approximates 11/8.
Arguably the al-Farabia quarter-tone could have been used as a melodic interval in the Greek Enharmonic Genus. The resulting tetrachord would include 32:33:34 within the interval of a perfect fourth. This ancient Greek scale can be approximated in 22-edo and 24-edo, if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.