72edo
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- This revision was by author hstraub and made on 2010-05-28 02:59:49 UTC.
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Original Wikitext content:
72-tone equal temperament (or 72-edo) divides the octave into 72 logarithmic commas or //moria//. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in 12-tone equal temperament. 72-tone is also a superset of [[24edo|24-tone equal temperament]], the standard tuning of most [[Arabic, Turkish, Persian|Arabic]] music. Composers that used 72-tone include Alois Hába, Ivan Wyschnegradsky, Julián Carillo (who is better associated with [[96edo|96-edo]]), Iannis Xenakis and the jazz musician Joe Maneri. 72-tone equal temperament approximates 11-limit [[JustIntonation|just intonation]] exceptionally well. The octave, fifth and fourth are the same size as they would be in 12-tone, 72, 42 and 30 commas respectively, but the major third (5/4) measures 23 commas, not 24, and other major intervals are one comma flat of 12-et while minor ones are one comma sharp. The septimal minor seventh (7/4) is 58 commas, while the undecimal semiaugmented fourth (11/8) is 33. ==External links== * [[http://en.wikipedia.org/wiki/72_tone_equal_temperament|Wikipedia article on 72edo]] * [[http://en.wikipedia.org/wiki/72_tone_equal_temperament|OrthodoxWiki Article on Byzantine chant, which uses 72edo]] * [[http://en.wikipedia.org/wiki/Joe_Maneri|Wikipedia article on Joe Maneri (1927-2009)]] * [[http://members.aon.at/ekmelischemusik/|Gesellschaft für Ekmelische Musik]], a group of composers and researchers dedicated to 72edo music * [[http://www.72note.com/|Rick Tagawa's 72edo site]], including theory and composers' list * [[http://dannywier.ucoz.com|Danny Wier, composer and musician who specializes in 72-edo]]
Original HTML content:
<html><head><title>72edo</title></head><body>72-tone equal temperament (or 72-edo) divides the octave into 72 logarithmic commas or <em>moria</em>. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in 12-tone equal temperament. 72-tone is also a superset of <a class="wiki_link" href="/24edo">24-tone equal temperament</a>, the standard tuning of most <a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">Arabic</a> music.<br /> <br /> Composers that used 72-tone include Alois Hába, Ivan Wyschnegradsky, Julián Carillo (who is better associated with <a class="wiki_link" href="/96edo">96-edo</a>), Iannis Xenakis and the jazz musician Joe Maneri.<br /> <br /> 72-tone equal temperament approximates 11-limit <a class="wiki_link" href="/JustIntonation">just intonation</a> exceptionally well. The octave, fifth and fourth are the same size as they would be in 12-tone, 72, 42 and 30 commas respectively, but the major third (5/4) measures 23 commas, not 24, and other major intervals are one comma flat of 12-et while minor ones are one comma sharp. The septimal minor seventh (7/4) is 58 commas, while the undecimal semiaugmented fourth (11/8) is 33.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-External links"></a><!-- ws:end:WikiTextHeadingRule:0 -->External links</h2> <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow">Wikipedia article on 72edo</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow">OrthodoxWiki Article on Byzantine chant, which uses 72edo</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Joe_Maneri" rel="nofollow">Wikipedia article on Joe Maneri (1927-2009)</a></li><li><a class="wiki_link_ext" href="http://members.aon.at/ekmelischemusik/" rel="nofollow">Gesellschaft für Ekmelische Musik</a>, a group of composers and researchers dedicated to 72edo music</li><li><a class="wiki_link_ext" href="http://www.72note.com/" rel="nofollow">Rick Tagawa's 72edo site</a>, including theory and composers' list</li><li><a class="wiki_link_ext" href="http://dannywier.ucoz.com" rel="nofollow">Danny Wier, composer and musician who specializes in 72-edo</a></li></ul></body></html>