64/63: Difference between revisions
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| Name = septimal comma, <br/>Archytas' comma | | Name = septimal comma, <br/>Archytas' comma | ||
| Color name = r1, ru comma, <br/>ru unison | | Color name = r1, ru comma, <br/>ru unison | ||
| Sound = | | Sound = Ji-64-63-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''64/63''', the '''septimal comma''' (also '''Archytas' comma''', or sometimes in German '''Leipziger Komma'''), is a [[superparticular]] ratio which equates [[9/8]] and [[8/7]] if tempered out and has the eighth square number as a numerator. It also equates [[7/4]] with [[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. | '''64/63''', the '''septimal comma''' (also '''Archytas' comma''', or sometimes in German '''Leipziger Komma'''), is a [[superparticular]] ratio which equates [[9/8]] and [[8/7]] if tempered out and has the eighth square number as a numerator. It also equates [[7/4]] with [[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. | ||
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[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Septimal]] | |||
[[Category:Comma]] | [[Category:Comma]] | ||
[[Category:Definition]] | [[Category:Definition]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Ratio]] | [[Category:Ratio]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Listen]] | |||
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[[de:64/63]] | [[de:64/63]] | ||