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The 175 equal division divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit miracle temperament, and in fact provides an excellent alternative to 72edo for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

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