211edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro}}
{{ED intro}}


211edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val| 211 334 490 }} ([[patent val]]) and {{val| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.
211edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with two mappings possible for the 5-limit: {{val| 211 334 490 }} ([[patent val]]) and {{val| 211 '''335''' 490 }} (211b). Using the patent val, it tempers out the [[unicorn comma]], 1594323/1562500 and the [[luna comma]], 274877906944/274658203125 in the 5-limit; [[1029/1024]], [[3136/3125]], and 1594323/1568000 in the 7-limit; [[540/539]], 2835/2816, 6912/6875, and 12005/11979 in the 11-limit; [[351/350]], [[847/845]], and [[1001/1000]] in the 13-limit. Using the 211b val, it tempers out [[tetracot comma]], 20000/19683 and {{monzo| 55 -1 -23 }} in the 5-limit; [[3136/3125]], 84035/82944, and 100352/98415 in the 7-limit; [[385/384]], 2401/2376, 3773/3750, and 6655/6561 in the 11-limit; [[196/195]], [[364/363]], [[625/624]], and 1001/1000 in the 13-limit. Using the 211bd val, it tempers out [[6144/6125]], [[16875/16807]], and 327680/321489 in the 7-limit; [[896/891]], 2420/2401, [[3388/3375]], and 6655/6561 in the 11-limit; 572/567, [[625/624]], [[640/637]], [[1573/1568]], and 1625/1617 in the 13-limit. Using the 211f val, [[364/363]], [[676/675]], [[1287/1280]], and [[1716/1715]] are tempered out in the 13-limit. 211edo is quite accurate on the 2.5.7/3.11 subgroup.