12edo: Difference between revisions
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In terms of the kernel, which is to say the commas it tempers out, it tempers out the Pythagorean comma, 3<sup>12</sup>/2<sup>19</sup>, the Didymus comma, [[81/80]], the diesis, [[128/125]], the diaschisma, [[2048/2025]], the Archytas comma, [[64/63]], the septimal quartertone, [[36/35]], the jubilisma, [[50/49]], the septimal semicomma, [[126/125]], and the septimal kleisma, [[225/224]]. Each of these affects the structure of 12ET in specific ways, and tuning systems which share the comma in question will be similar to 12ET in precisely those ways. | In terms of the kernel, which is to say the commas it tempers out, it tempers out the Pythagorean comma, 3<sup>12</sup>/2<sup>19</sup>, the Didymus comma, [[81/80]], the diesis, [[128/125]], the diaschisma, [[2048/2025]], the Archytas comma, [[64/63]], the septimal quartertone, [[36/35]], the jubilisma, [[50/49]], the septimal semicomma, [[126/125]], and the septimal kleisma, [[225/224]]. Each of these affects the structure of 12ET in specific ways, and tuning systems which share the comma in question will be similar to 12ET in precisely those ways. | ||
12edo is the largest equal division of the octave which uniquely patently alternates with an *ed(9/8) in a [[Well tempered nonet|wtn]], and it also contains [[2edo]], [[3edo]], [[4edo]] and [[6edo]] as subsets. | 12edo is the largest equal division of the octave which uniquely patently alternates with an *ed(9/8) in a [[Well tempered nonet|wtn]], and it also contains [[2edo]], [[3edo]], [[4edo]] and [[6edo]] as subsets. 12edo is the 5th [[highly melodic EDO]], 12 being both a superabundant and a highly composte number. | ||
== Intervals == | == Intervals == | ||
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[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Zeta]] | [[Category:Zeta]] | ||
[[Category:Highly melodic]] | |||