612edo: Difference between revisions

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The 612edo step was proposed as the logarithmic [[interval size measure]] '''nil''' by James Paul White<ref>[https://dn721808.ca.archive.org/0/items/sim_music-a-monthly-magazine_november-1894-april-1895_7/sim_music-a-monthly-magazine_november-1894-april-1895_7.pdf

White, James Paul. 1895. "Is Perfect Intonation ~~Practical~~?". ''Music a Monthly Magazine'' 7:446]</ref> (also '''skisma''' or '''sk'''), since one step is nearly the same size as the [[schisma]] (32805/32768), 1/12 of a [[Pythagorean comma]] or 1/11 of a [[syntonic comma]]. Since 612 is divisible by {{EDOs| 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204 and 306 }}, it can readily express the step sizes of the 12, 17, 34, and 68 divisions.

White, James Paul. 1895. "Is Perfect Intonation Practicable?". ''Music a Monthly Magazine'' 7:446]</ref> (also '''skisma''' or '''sk'''), since one step is nearly the same size as the [[schisma]] (32805/32768), 1/12 of a [[Pythagorean comma]] or 1/11 of a [[syntonic comma]]. Since 612 is divisible by {{EDOs| 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204 and 306 }}, it can readily express the step sizes of the 12, 17, 34, and 68 divisions.

=== Prime harmonics ===

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 The 612edo step was proposed as the logarithmic [[interval size measure]] '''nil''' by James Paul White<ref>[https://dn721808.ca.archive.org/0/items/sim_music-a-monthly-magazine_november-1894-april-1895_7/sim_music-a-monthly-magazine_november-1894-april-1895_7.pdf
-White, James Paul. 1895. "Is Perfect Intonation Practical?". ''Music a Monthly Magazine'' 7:446]</ref> (also '''skisma''' or '''sk'''), since one step is nearly the same size as the [[schisma]] (32805/32768), 1/12 of a [[Pythagorean comma]] or 1/11 of a [[syntonic comma]]. Since 612 is divisible by {{EDOs| 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204 and 306 }}, it can readily express the step sizes of the 12, 17, 34, and 68 divisions.
+White, James Paul. 1895. "Is Perfect Intonation Practicable?". ''Music a Monthly Magazine'' 7:446]</ref> (also '''skisma''' or '''sk'''), since one step is nearly the same size as the [[schisma]] (32805/32768), 1/12 of a [[Pythagorean comma]] or 1/11 of a [[syntonic comma]]. Since 612 is divisible by {{EDOs| 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204 and 306 }}, it can readily express the step sizes of the 12, 17, 34, and 68 divisions.
 === Prime harmonics ===