156edo: Difference between revisions

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Linking; style; switch to prime harmonics since the odd harmonics table doesn't add much; -redundant categories
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{{EDO intro}}
{{EDO intro}}


It supports [[compton]] temperament. It is the smallest EDO to contain both [[12edo]] and [[13edo]] as subsets.
It supports [[compton]]. It is the smallest edo to contain both [[12edo]] and [[13edo]] as subsets.


It tempers out 531441/524288 (pythagorean comma) and 1220703125/1207959552 (ditonmic comma) in the 5-limit, as well as 1224440064/1220703125 (parakleisma); 225/224, 250047/250000, and 589824/588245 in the 7-limit. Using the patent val, it tempers out 441/440, 1375/1372, 4375/4356, and 65536/65219 in the 11-limit; 351/350, 364/363, 625/624, 1625/1617, and 13122/13013 in the 13-limit. Using the 156e val, it tempers out 385/384, 540/539, 1331/1323, and 78408/78125 in the 11-limit; 351/350, 625/624, 847/845, and 1001/1000 in the 13-limit.
The equal temperament [[tempering out|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 1220703125/1207959552 (ditonmic comma) in the 5-limit, as well as 1224440064/1220703125 ([[parakleisma]]); [[225/224]], [[250047/250000]], and [[589824/588245]] in the 7-limit. Using the patent val, it tempers out [[441/440]], 1375/1372, 4375/4356, and 65536/65219 in the 11-limit; [[351/350]], [[364/363]], [[625/624]], 1625/1617, and 13122/13013 in the 13-limit. Using the 156e val, it tempers out [[385/384]], [[540/539]], 1331/1323, and 78408/78125 in the 11-limit; 351/350, 625/624, [[847/845]], and [[1001/1000]] in the 13-limit.  


== Harmonics ==
=== Prime harmonics ===
{{Harmonics in equal|156}}
{{Harmonics in equal|156|intervals=prime}}


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