17-limit: Difference between revisions

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-In 17-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 17. The 17-limit adds to the [[13-limit|13-limit]] a "minor ninth" of about 105¢ -- [[17/16|17/16]] -- and several other intervals between the 17th overtone and the lower ones.
+In 17-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 17. The 17-limit adds to the [[13-limit]] a "minor ninth" of about 105¢ -- [[17/16]] -- and several other intervals between the 17th overtone and the lower ones.
+[[EDO]]s which provides an excellent tuning for 17-limit intervals are: 46, 58, 72, 80, 94, 111, 121, 149, 159, 183, 217, 253, 270, 282, 301, 311, 320, 354, 364, 383, 388, 400, 414, 422, 436, 441, 460, 494, 525, 535, 581, 597, 615, 624, 639, 643, 653, 684, 692, 718, 742, 764, 771, 776, 814, 860, 867, 882, 894, 908, 925, 935, 954, 981, 995, and 997 among others.
 ==17-limit Intervals==