33/32
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Sarzadoce and made on 2011-08-09 15:09:31 UTC.
- The original revision id was 245078513.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The al-Farabi (Alpharabius) quarter-tone, 33/32, 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]] by the al-Farabi quarter-tone leads to the [[11_8|11/8]] super-fourth. Raising it instead by 36/35 leads to the [[48_35|septimal super-fourth]] 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 [[22edo|22-edo]] and [[24edo|24-edo]], if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.
Original HTML content:
<html><head><title>33_32</title></head><body>The al-Farabi (Alpharabius) quarter-tone, 33/32, is a <a class="wiki_link" href="/superparticular">superparticular</a> ratio which differs by a <a class="wiki_link" href="/385_384">keenanisma</a>, 385/384, from the <a class="wiki_link" href="/36_35">septimal quarter tone</a> 36/35. Raising a just <a class="wiki_link" href="/4_3">perfect fourth</a> by the al-Farabi quarter-tone leads to the <a class="wiki_link" href="/11_8">11/8</a> super-fourth. Raising it instead by 36/35 leads to the <a class="wiki_link" href="/48_35">septimal super-fourth</a> which approximates 11/8.<br /> <br /> 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 <a class="wiki_link" href="/22edo">22-edo</a> and <a class="wiki_link" href="/24edo">24-edo</a>, if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.</body></html>