Meantone family: Difference between revisions
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The [[5-limit]] parent [[Comma|comma]] of the [[Meantone|meantone]] family is the Didymus or [http://en.wikipedia.org/wiki/Syntonic_comma syntonic comma], 81/80. This is the one they all temper out. The [[Monzos_and_Interval_Space|monzo]] for 81/80 goes |-4 4 -1>, and that can be flipped around to the corresponding [[Wedgies_and_Multivals|wedgie]], <<1 4 4||, which tells us that the period is an octave, the generator is a fifth, and four fifths go to make up a 5/1 interval. | The [[5-limit]] parent [[Comma|comma]] of the [[Meantone|meantone]] family is the Didymus or [http://en.wikipedia.org/wiki/Syntonic_comma syntonic comma], [[81/80]]. This is the one they all temper out. The [[Monzos_and_Interval_Space|monzo]] for 81/80 goes |-4 4 -1>, and that can be flipped around to the corresponding [[Wedgies_and_Multivals|wedgie]], <<1 4 4||, which tells us that the period is an octave, the generator is a fifth, and four fifths go to make up a 5/1 interval. | ||
=5-limit meantone= | =5-limit meantone= | ||
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[|1 0 0 0 0>, |1 0 1/4 0 0>, |0 0 1 0 0>, | [|1 0 0 0 0>, |1 0 1/4 0 0>, |0 0 1 0 0>, | ||
|-3 0 5/2 0 0>, |11 0 -13/4 0 0><nowiki>]</nowiki> | |-3 0 5/2 0 0>, |11 0 -13/4 0 0><nowiki><nowiki>]</nowiki></nowiki> | ||
[[Eigenmonzo]]s: 2, 5 | [[Eigenmonzo]]s: 2, 5 | ||