172edo: Difference between revisions
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172edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val| 172 273 399 }} ([[patent val]]), {{val| 172 '''272''' 399 }} (172b), and {{val| 172 273 '''400''' }} (172c). Using the patent val, it [[tempering out|tempers out]] the [[semicomma]], 2109375/2097152 and 1220703125/1162261467 in the 5-limit; [[245/243]], [[3125/3087]], and 2097152/2066715 in the 7-limit, [[support]]ing the 7-limit [[bohpier]] temperament; [[385/384]], [[896/891]], 1331/1323, and 9375/9317 in the 11-limit; [[169/168]], [[352/351]], [[364/363]], and [[1716/1715]] in the 13-limit, supporting the [[leapweek]] temperament. Using the 172f val, [[275/273]], [[640/637]], [[847/845]], and [[1575/1573]] are tempered out in the 13-limit. | 172edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val| 172 273 399 }} ([[patent val]]), {{val| 172 '''272''' 399 }} (172b), and {{val| 172 273 '''400''' }} (172c). Using the patent val, it [[tempering out|tempers out]] the [[semicomma]], 2109375/2097152 and 1220703125/1162261467 in the 5-limit; [[245/243]], [[3125/3087]], and 2097152/2066715 in the 7-limit, [[support]]ing the 7-limit [[bohpier]] temperament; [[385/384]], [[896/891]], 1331/1323, and 9375/9317 in the 11-limit; [[169/168]], [[352/351]], [[364/363]], and [[1716/1715]] in the 13-limit, supporting the [[leapweek]] temperament. Using the 172f val, [[275/273]], [[640/637]], [[847/845]], and [[1575/1573]] are tempered out in the 13-limit. | ||