175edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
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 [[support]]s 7-limit [[Miracle|miracle temperament]], and in fact provides an excellent alternative to [[72edo|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.
{{EDO intro|175}}


175edo tempers out [[1029/1024]] and [[225/224]], so that it [[support]]s 7-limit [[Miracle|miracle temperament]], and in fact provides an excellent alternative<sup>[why?]</sup> 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 val, {{val|175 277 406 491 605 '''647'''}} tempers out [[351/350]] just as 72 does, and provides a tuning for [[benediction]] temperament very close to the POTE tuning.
=== Harmonics ===
{{harmonics in equal|175}}
== Music ==
== Music ==
* [http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]
* [http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]
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[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Todo:clarify]]