170edo: Difference between revisions

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170edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with four mappings possible for the 7-limit: {{val| 170 269 395 477 }} ([[patent val]]), {{val| 170 '''270''' 395 477 }} (170b), {{val| 170 '''270''' 395 '''478''' }} (170bd), and {{val| 170 269 '''394''' 477 }} (170c).

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Using the 170bd val, it tempers out [[16875/16807]], 51200/50421, and [[420175/419904]] in the 7-limit; [[176/175]], 896/891, and 6875/6804 in the 11-limit; [[169/168]], [[640/637]], [[1001/1000]], 2704/2673, and 4235/4212 in the 13-limit. Using the alternative 170bdef val, it tempers out 540/539, 1375/1372, 4375/4356, and 8192/8085 in the 11-limit; [[325/324]], 364/363, [[512/507]], [[625/624]], and 1625/1617 in the 13-limit.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 170 factors into {{factorization|170}}, 170edo has subset edos {{EDOs| 2, 5, 10, 17, 34, and 85 }}.

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 {{Infobox ET}}
-{{EDO intro}}
+{{ED intro}}
 edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with four mappings possible for the 7-limit: {{val| 170 269 395 477 }} ([[patent val]]), {{val| 170 '''270''' 395 477 }} (170b), {{val| 170 '''270''' 395 '''478''' }} (170bd), and {{val| 170 269 '''394''' 477 }} (170c).
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 Using the 170bd val, it tempers out [[16875/16807]], 51200/50421, and [[420175/419904]] in the 7-limit; [[176/175]], 896/891, and 6875/6804 in the 11-limit; [[169/168]], [[640/637]], [[1001/1000]], 2704/2673, and 4235/4212 in the 13-limit. Using the alternative 170bdef val, it tempers out 540/539, 1375/1372, 4375/4356, and 8192/8085 in the 11-limit; [[325/324]], 364/363, [[512/507]], [[625/624]], and 1625/1617 in the 13-limit.
+=== Odd harmonics ===
+{{Harmonics in equal|170}}
+=== Subsets and supersets ===
+Since 170 factors into {{factorization|170}}, 170edo has subset edos {{EDOs| 2, 5, 10, 17, 34, and 85 }}.