120edo: Difference between revisions

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120edo ~~means division of the octave into equal parts of 10 cents each~~. Its [[patent val]] is [[contorted]] only through the 3-limit and does not temper out 81/80 in the 5-limit or 64/63 and 5120/5103 in the 7-limit. However, 5120/5103 is done about as badly as this interval can be done relative to an equal division, falling close to exactly in the middle of a step (1\120 is ~42.42 relative cents sharp of it). Being the simplest division of the octave by the Germanic [~~https~~:~~//en.wikipedia.org/wiki/~~Long_hundred long hundred], it has a unit step which is the fine relative cent of [[~~1edo|~~1edo]].

== Theory ==

120edo approximates with less than 25% error harmoincs: 2, 3, 7, 11, 13, 23, 29. Therefore, it's well suited for no-5s 13-limit.

Its [[patent val]] is [[contorted]] only through the 3-limit and does not temper out 81/80 in the 5-limit or 64/63 and 5120/5103 in the 7-limit. However, 5120/5103 is done about as badly as this interval can be done relative to an equal division, falling close to exactly in the middle of a step (1\120 is ~42.42 relative cents sharp of it).

120edo is the 5th factorial EDO (120 = 1*2*3*4*5), and the 10th highly composite EDO.

=== Prime harmonics ===

=== Miscellaneous properties ===

Being the simplest division of the octave by the Germanic [[wikipedia:Long_hundred|long hundred]], it has a unit step which is the fine relative cent of [[1edo]].

120edo also has a concoctic generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes.

~~120edo is the 5th factorial EDO, and the 10th highly melodic EDO.~~

[[Category:Equal divisions of the octave|###]]

[[Category:Highly composite]]

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 {{Infobox ET}}
-edo means division of the octave into equal parts of 10 cents each. Its [[patent val]] is [[contorted]] only through the 3-limit and does not temper out 81/80 in the 5-limit or 64/63 and 5120/5103 in the 7-limit. However, 5120/5103 is done about as badly as this interval can be done relative to an equal division, falling close to exactly in the middle of a step (1\120 is ~42.42 relative cents sharp of it). Being the simplest division of the octave by the Germanic [https://en.wikipedia.org/wiki/Long_hundred long hundred], it has a unit step which is the fine relative cent of [[1edo|1edo]].
+{{EDO intro|120}}
+== Theory ==
+edo approximates with less than 25% error harmoincs: 2, 3, 7, 11, 13, 23, 29. Therefore, it's well suited for no-5s 13-limit.
+Its [[patent val]] is [[contorted]] only through the 3-limit and does not temper out 81/80 in the 5-limit or 64/63 and 5120/5103 in the 7-limit. However, 5120/5103 is done about as badly as this interval can be done relative to an equal division, falling close to exactly in the middle of a step (1\120 is ~42.42 relative cents sharp of it).
+edo is the 5th factorial EDO (120 = 1*2*3*4*5), and the 10th highly composite EDO.
+=== Prime harmonics ===
+{{Harmonics in equal|120}}
+=== Miscellaneous properties ===
+Being the simplest division of the octave by the Germanic [[wikipedia:Long_hundred|long hundred]], it has a unit step which is the fine relative cent of [[1edo]].
 edo also has a concoctic generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes.
-edo is the 5th factorial EDO, and the 10th highly melodic EDO.
 [[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Highly composite]]

120edo: Difference between revisions

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