4320edo: Difference between revisions
factor 9 grid |
"miscellany" or "miscellaneous properties" usually means something that is barely notable enough for inclusion in "theory", so I figured there's a less "loaded" way to title that section since it describes actual scales, and put "miscellany" in the trivial facts |
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=== Regular temperament theory === | === Regular temperament theory === | ||
4320edo supports the period-80 temperament [[mercury]] | 4320edo supports the period-80 temperament [[mercury]], and period-60 temperament [[minutes]]. | ||
===Prime harmonics=== | ===Prime harmonics=== | ||
{{harmonics in equal|4320}} | {{harmonics in equal|4320}} | ||
=== | === Other scales and techniques === | ||
Due to being consistent in the 23-limit, 4320edo is capable of consistently supporting the "[[factor 9 grid]]". It's quite coincidental that the number 4320 is divisible by 432, the number of Hertz in absolute pitch to which the alleged mystical properties of the scale are ascribed, except this time it is the cardinality of an EDO supporting the scale. | Due to being consistent in the 23-limit, 4320edo is capable of consistently supporting the "[[factor 9 grid]]". It's quite coincidental that the number 4320 is divisible by 432, the number of Hertz in absolute pitch to which the alleged mystical properties of the scale are ascribed, except this time it is the cardinality of an EDO supporting the scale. | ||
== | 4320edo has a possible usage in [[Georgian]] folk music. 4320edo maps the 3/2 interval to 2527 steps, which factors as 7 x 19^2, and thus 4/3 to 1793 steps, factoring as 11 x 163. Since Georgian traditional music is based on dividing 3/2 and 4/3 into an arbitrary number of steps, it is able to support a variety of [[Kartvelian scales]] on the patent val, for example a combination of [[7edf]] and [[11ed4/3]]. | ||
== Miscellany == | |||
4320edo is the 69th highly abundant EDO. Nice. | 4320edo is the 69th highly abundant EDO. Nice. | ||
[[Category:Equal divisions of the octave|####]] | [[Category:Equal divisions of the octave|####]] | ||