134edo: Difference between revisions

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The equal temperament [[tempering out|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand]]) 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.

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}}
-{{EDO intro}}
+{{ED intro}}
-The equal temperament [[tempering out|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 34171875/33554432 ([[ampersand]]) 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.
+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.