64/63: Difference between revisions
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<span style="display: block; text-align: right;">Other languages: [[:de:64/63 Deutsch]]</span> | <span style="display: block; text-align: right;">Other languages: [[:de:64/63|Deutsch]]</span> | ||
The interval 64/63, called '''septimal comma''' or '''Archytas' comma''' or (in German) '''[http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma Leipziger Komma]''', is a [[superparticular|superparticular ratio]] which equates [[9/8|9/8]] and [[8/7|8/7]] if tempered out and has the eighth square number as a numerator. It also equates [[7/4|7/4]] with [[16/9|16/9]], so that the just dominant seventh chord, 1-5/4-3/2-16/9, and the otonal tetrad, 1-5/4-3/2-7/4, are equated to the same chord when 64/63 is tempered out. Equal divisions of the octave tempering out 64/63 include 12, 15, 22, 27, 37, 49 and 59. | The interval 64/63, called '''septimal comma''' or '''Archytas' comma''' or (in German) '''[http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma Leipziger Komma]''', is a [[superparticular|superparticular ratio]] which equates [[9/8|9/8]] and [[8/7|8/7]] if tempered out and has the eighth square number as a numerator. It also equates [[7/4|7/4]] with [[16/9|16/9]], so that the just dominant seventh chord, 1-5/4-3/2-16/9, and the otonal tetrad, 1-5/4-3/2-7/4, are equated to the same chord when 64/63 is tempered out. Equal divisions of the octave tempering out 64/63 include 12, 15, 22, 27, 37, 49 and 59. | ||