Minortonic family: Difference between revisions
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[[EDO|EDO]]s: [[46edo|46]], [[125edo|125]], [[171edo|171]], [[388edo|388]], 559, 730, 1289, 2019, 2749, 4768, 16323, 21091 | [[EDO|EDO]]s: [[46edo|46]], [[125edo|125]], [[171edo|171]], [[388edo|388]], 559, 730, 1289, 2019, 2749, 4768, 16323, 21091 | ||
__FORCETOC__ | __FORCETOC__ | ||
=Mitonic= | = Mitonic = | ||
{{see also|Ragismic microtemperaments #Mitonic}} | |||
As a 5-limit temperament, mitonic becomes minortonic, a super-accurate microtemperament tempering out the minortone comma, |-16 35 -17>. Flipping that gives the 5-limit wedgie <<17 35 16||, which tells us that 10/9 can be taken as the generator, with 17 of them giving a 6, 18 of them a 20/3, and 35 of them giving a 40. The generator should be tuned about 1/16 of a cent flat, with 6^(1/17) being 0.06423 cents flat and 40^(1/35) being 0.06234 cents flat. 171, 559 and 730 are possible equal temperament tunings. | As a 5-limit temperament, mitonic becomes minortonic, a super-accurate microtemperament tempering out the minortone comma, |-16 35 -17>. Flipping that gives the 5-limit wedgie <<17 35 16||, which tells us that 10/9 can be taken as the generator, with 17 of them giving a 6, 18 of them a 20/3, and 35 of them giving a 40. The generator should be tuned about 1/16 of a cent flat, with 6^(1/17) being 0.06423 cents flat and 40^(1/35) being 0.06234 cents flat. 171, 559 and 730 are possible equal temperament tunings. | ||
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[[Map|Map]]: [<1 16 32 -15|, <0 -17 -35 21|] | [[Map|Map]]: [<1 16 32 -15|, <0 -17 -35 21|] | ||
[[EDO| | [[EDO|EDOs]]: {{EDOs|7, 20c, 33c, 46, 125, 171}} | ||
[[Badness|Badness]]: 0.0252 | [[Badness|Badness]]: 0.0252 | ||