151edo

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151edo is the equal division of the octave into 151 parts of 7.9470 cents each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: <151 239 351| (patent val), <151 240 351| (151b), and <151 239 350| (151c). Using the patent val, it tempers out the quinbigu comma, 10077696/9765625 and the lalagu comma, 43046721/41943040 in the 5-limit; 126/125, 1728/1715, and 31104/30625 in the 7-limit; 176/175, 243/242, 441/440, and 5314683/5242880 in the 11-limit; 1287/1280, 1573/1568, and 2200/2197 in the 13-limit. Using the 151be val, it tempers out kleisma, 15625/15552 and 2748779069440/2541865828329 in the 5-limit; 4000/3969, 6144/6125, and 33614/32805 in the 7-limit; 1232/1215, 2401/2376, 2560/2541, and 3025/3024 in the 11-limit; 196/195, 572/567, 832/825, 1001/1000, and 2197/2178 in the 13-limit. Using the 151c val, it tempers out the sycamore comma, 48828125/47775744 and graviton, 129140163/128000000 in the 5-limit; 2430/2401, 3125/3087, and 33075/32768 in the 7-limit; 243/242, 385/384, 2420/2401, and 4000/3993 in the 11-limit; 275/273, 640/637, 847/845, 1573/1568, 1701/1690 in the 13-limit. Using the 151cf val, it tempers out 169/168, 325/324, 975/968, and 1287/1280 in the 13-limit. Using the 151e val, it tempers out 1344/1331, 2187/2156, 2835/2816, and 4000/3993 in the 11-limit; 144/143, 364/363, 1001/1000, and 1716/1715 in the 13-limit.

151edo is the 36th prime EDO.