204edo: Difference between revisions

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'''204edo''' is the [[EDO|equal division of the octave]] into 204 parts of 5.8824 [[cent]]s each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 782757789696/762939453125 in the 5-limit; 1728/1715, 3136/3125 and 14348907/14049280 in the 7-limit; 441/440, 1944/1925, 5632/5625, and 35937/35840 in the 11-limit. It supports the 7-limit [[Hemimean clan|semisept temperament]], and alternative 204e val can support the 11-limit semisept.

[[~~Category:EDO~~]]

204edo is the first merger of [[12edo]] and [[17edo]]. Using the [[patent val]], it [[tempering out|tempers out]] 531441/524288 ([[Pythagorean comma]]) and {{monzo| 30 6 -17 }} in the 5-limit; [[1728/1715]], [[3136/3125]] and 14348907/14049280 in the 7-limit; [[441/440]], 1944/1925, [[5632/5625]], and 35937/35840 in the 11-limit. It [[support]]s the 7-limit [[semisept]] temperament, and the alternative 204e val can support the 11-limit semisept. It supports [[Substitute harmonic#Intercom|intercom]] temperament.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 204 factors into {{factorization|204}}, 204edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 17, 34, 51, 68, and 102 }}.

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-'''204edo''' is the [[EDO|equal division of the octave]] into 204 parts of 5.8824 [[cent]]s each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 782757789696/762939453125 in the 5-limit; 1728/1715, 3136/3125 and 14348907/14049280 in the 7-limit; 441/440, 1944/1925, 5632/5625, and 35937/35840 in the 11-limit. It supports the 7-limit [[Hemimean clan|semisept temperament]], and alternative 204e val can support the 11-limit semisept.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:EDO]]
+edo is the first merger of [[12edo]] and [[17edo]]. Using the [[patent val]], it [[tempering out|tempers out]] 531441/524288 ([[Pythagorean comma]]) and {{monzo| 30 6 -17 }} in the 5-limit; [[1728/1715]], [[3136/3125]] and 14348907/14049280 in the 7-limit; [[441/440]], 1944/1925, [[5632/5625]], and 35937/35840 in the 11-limit. It [[support]]s the 7-limit [[semisept]] temperament, and the alternative 204e val can support the 11-limit semisept. It supports [[Substitute harmonic#Intercom|intercom]] temperament.
+=== Odd harmonics ===
+{{Harmonics in equal|204}}
+=== Subsets and supersets ===
+Since 204 factors into {{factorization|204}}, 204edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 17, 34, 51, 68, and 102 }}.