182edo: Difference between revisions

182edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings suitable for the 11-limit: {{val| 182 288 423 511 630 }} ([[patent val]]), {{val| 182 289 423 511 630 }} (182b), and {{val| 182 288 422 511 629 }} (182ce). It does have a potential as a 2.9.15.7.17.19 [[subgroup]] temperament.

Using the patent val, it tempers out the mynic comma, 10077696/9765625 and {{monzo| -27 20 -2 }} in the 5-limit; [[126/125]], [[1728/1715]], and {{monzo| -28 18 1 -1 }} in the 7-limit; 2187/2156, 2835/2816, [[5632/5625]], and 14700/14641 in the 11-limit; [[364/363]], [[676/675]], [[1287/1280]], and 1701/1690 in the 13-limit. Using the 182f val, [[144/143]], [[847/845]], [[1001/1000]], and [[1716/1715]] are tempered out in the 13-limit.

Using the 182ce val, it tempers out the kleisma, [[15625/15552]] and the [[python comma]], 43046721/41943040 in the 5-limit; [[2430/2401]], 33075/32768, and 78125/76832 in the 7-limit; [[243/242]], [[385/384]], 2420/2401, and [[6250/6237]] in the 11-limit; [[351/350]], [[1188/1183]], 1287/1280, [[1575/1573]], and 1625/1617 in the 13-limit.  

Using the 182b val, it tempers out the diaschisma, [[2048/2025]] and {{monzo| -4 -37 27 }}; in the 5-limit; [[245/243]], [[6144/6125]], and 9882516/9765625 in the 7-limit; [[3025/3024]], 3773/3750, and [[4000/3993]] in the 11-limit. Using the 182bf val, [[196/195]], [[325/324]], 364/363, and 1001/1000 are tempered out in the 13-limit. The 182bef val supports the [[shrutar]] temperament in the 19-limit and [[petrtri]] in the 2.11/5.13/5 subgroup.

{{Harmonics in equal|182}}