33/32: Difference between revisions
m Name order |
shortened the name |
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| Monzo = -5 1 0 0 1 | | Monzo = -5 1 0 0 1 | ||
| Cents = 53.27294 | | Cents = 53.27294 | ||
| Name = al-Farabi | | Name = al-Farabi quarter tone, <br>undecimal quarter tone, <br>undecimal comma | ||
| Color name = | | Color name = | ||
| FJS name = P1<sup>11</sup> | | FJS name = P1<sup>11</sup> | ||
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}} | }} | ||
'''33/32''', | '''33/32''', '''al-Farabi quarter tone'''<ref>The name goes back to Abu Nasr Al-Farabi (in Western reception also Alpharabius), see [[wikipedia:Al-Farabi]] </ref>, '''undecimal quarter tone''', or '''undecimal comma''', is a [[superparticular]] [[ratio]] which differs by a [[385/384|keenanisma (385/384)]], from the [[36/35|septimal quarter tone (36/35)]]. Raising a just [[4/3|perfect fourth (4/3)]] by the al-Farabi quarter-tone leads to the [[11/8|undecimal super-fourth (11/8)]]. Raising it instead by 36/35 leads to the [[48/35|septimal super-fourth (48/35)]] which approximates 11/8. | ||
Arguably 33/32 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 [[22edo]] and [[24edo]], if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated. | Arguably 33/32 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 [[22edo]] and [[24edo]], if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated. | ||
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* [[32/31]] | * [[32/31]] | ||
* [[:File:Ji-33-32-csound-foscil-220hz.mp3]] | * [[:File:Ji-33-32-csound-foscil-220hz.mp3]] | ||
== References == | |||
<references/> | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||