175edo: Difference between revisions

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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 [[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.

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 ===

== Music ==

* [http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]

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[[Category:Equal divisions of the octave|###]]

[[Category:Todo:clarify]]

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 {{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}}
+edo 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 ==
 * [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:Todo:clarify]]