64/63: Difference between revisions
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| de = 64/63 | |||
| en = 64/63 | |||
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 64/63 | | Ratio = 64/63 | ||
| Monzo = 6 -2 0 -1 | | Monzo = 6 -2 0 -1 | ||
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| Sound = Ji-64-63-csound-foscil-220hz.mp3 | | Sound = Ji-64-63-csound-foscil-220hz.mp3 | ||
}} | }} | ||
{{Wikipedia|Septimal comma}} | |||
'''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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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category: | [[Category:Octave-reduced subharmonics]] | ||
[[Category:Pages with internal sound examples]] | |||
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