134edo: Difference between revisions

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'''134edo''' is the [[EDO|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

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

The equal temperament [[tempering out|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand comma]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 134 factors into 2 × 67, 134edo contains [[2edo]] and [[67edo]] as its subsets.

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 {{Infobox ET}}
-'''134edo''' is the [[EDO|equal division of the octave]] into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.
+{{ED intro}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+The equal temperament [[tempering out|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand comma]]) in the 5-limit; [[225/224]], [[1029/1024]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; [[144/143]], [[351/350]], [[364/363]], and [[625/624]] in the 13-limit. Using the 134e val, it tempers out [[243/242]], [[385/384]], [[441/440]], and 395307/390625 in the 11-limit; 351/350, 625/624, [[1001/1000]], [[1573/1568]], and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out [[169/168]], [[676/675]], 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.
+=== Odd harmonics ===
+{{Harmonics in equal|134}}
+=== Subsets and supersets ===
+Since 134 factors into 2 × 67, 134edo contains [[2edo]] and [[67edo]] as its subsets.