1200edo: Difference between revisions

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~~The '''1200 equal divisions of the octave''' ('''~~1200edo~~'''), or~~ the ~~'''1200(-tone)~~ equal ~~temperament''' ('''1200tet''', '''1200et''') when viewed from a [[regular temperament]] perspective, divides~~ the [[octave~~]] into 1200 [[equal]] parts of~~ exactly 1 [[cent]] ~~each, and a size close to [[1729/1728]]. It is notable mostly because it is the equal division corresponding to cents~~.

1200edo is notable for being the equal division of the octave whose step size corresponds to exactly 1 [[cent]].

== Theory ==

1200edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. This means that whole-cent approximations of the 11-odd-limit [[tonality diamond]] intervals are conveniently represented through the 11-limit [[patent val]] {{val| 1200 1902 2786 3369 4151 }}. It is [[enfactored]] in the [[5-limit]], having the same tuning as [[600edo]].

1200edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. This means that whole-cent approximations of the 11-odd-limit [[tonality diamond]] intervals are conveniently represented through the 11-limit [[patent val]] {{val| 1200 1902 2786 3369 4151 }}. It is [[enfactoring|enfactored]] in the [[5-limit]], having the same tuning as [[600edo]].

The equal temperament [[tempering out|tempers out]] 2460375/2458624 and 95703125/95551488 in the [[7-limit]], supporting the 171 & 1029 temperament, with a period of 1/3 octave and a generator which is an approximate [[225/224]] of 7\1200. It tempers out [[9801/9800]], 234375/234256 and 825000/823543 in the 11-limit, supporting the 494 & 706 temperament, with a half-octave period and an approximate 99/98 generator of 17\1200.

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== Music ==

; [[Hideya]]

* [https://www.youtube.com/watch?v=FJhmgbuoRHA ''Like scattered blue light''] (2024)

; [[Sevish]]

* [https://www.youtube.com/watch?v=lTT3QGTngIs ''Dream Up''] (2021, demo version)

[[Category:Listen]]

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 {{Infobox ET}}
-The '''1200 equal divisions of the octave''' ('''1200edo'''), or the '''1200(-tone) equal temperament''' ('''1200tet''', '''1200et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 1200 [[equal]] parts of exactly 1 [[cent]] each, and a size close to [[1729/1728]]. It is notable mostly because it is the equal division corresponding to cents.
+{{ED intro}}
+edo is notable for being the equal division of the octave whose step size corresponds to exactly 1 [[cent]].
 == Theory ==
-edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. This means that whole-cent approximations of the 11-odd-limit [[tonality diamond]] intervals are conveniently represented through the 11-limit [[patent val]] {{val| 1200 1902 2786 3369 4151 }}. It is [[enfactored]] in the [[5-limit]], having the same tuning as [[600edo]].
+edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. This means that whole-cent approximations of the 11-odd-limit [[tonality diamond]] intervals are conveniently represented through the 11-limit [[patent val]] {{val| 1200 1902 2786 3369 4151 }}. It is [[enfactoring|enfactored]] in the [[5-limit]], having the same tuning as [[600edo]].
 The equal temperament [[tempering out|tempers out]] 2460375/2458624 and 95703125/95551488 in the [[7-limit]], supporting the 171 & 1029 temperament, with a period of 1/3 octave and a generator which is an approximate [[225/224]] of 7\1200. It tempers out [[9801/9800]], 234375/234256 and 825000/823543 in the 11-limit, supporting the 494 & 706 temperament, with a half-octave period and an approximate 99/98 generator of 17\1200.
@@ Line 44: / Line 46: @@
 == Music ==
+; [[Hideya]]
+* [https://www.youtube.com/watch?v=FJhmgbuoRHA ''Like scattered blue light''] (2024)
 ; [[Sevish]]
 * [https://www.youtube.com/watch?v=lTT3QGTngIs ''Dream Up''] (2021, demo version)
+[[Category:Listen]]