133edo: Difference between revisions

(3 intermediate revisions by one other user not shown)

Line 1:

~~'''133edo''' is the [[EDO|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.~~

~~Using~~ the ~~patent val, it supports~~ [[~~superenneadecal~~]]~~, it~~ tempers out ~~245/243, 1029/1024 and 395136~~/390625 ~~in the 7-limit; 385/384, 441/440, 896/891 and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363~~ and ~~3146~~/~~3125~~ in the 13-limit.

133edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.

Using the ~~133d~~ val, it ~~supports~~ [[~~enneadecal~~]], ~~it tempers 1728~~/~~1715~~, ~~4000~~/~~3969~~ and ~~4375~~/~~4374~~.

Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].

Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].

=== Prime harmonics ===

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

=== Subsets and supersets ===

Since 133 factors into {{factorization|133}}, 133edo contains [[7edo]] and [[19edo]] as its subsets.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''133edo''' is the [[EDO|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.
+{{ED intro}}
-Using the patent val, it supports [[superenneadecal]], it tempers out 245/243, 1029/1024 and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891 and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363 and 3146/3125 in the 13-limit.
+edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.
-Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.
+Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].
+Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].
+=== Prime harmonics ===
 {{Harmonics in equal|133}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+=== Subsets and supersets ===
+Since 133 factors into {{factorization|133}}, 133edo contains [[7edo]] and [[19edo]] as its subsets.