Map of rank-2 temperaments: Difference between revisions

Line 2,962:

<ul><li>[[Compton|Compton]] - 3-limit as in 12edo; intervals of 5 are off by one generator. In the 7-limit (sometimes called [[waage|waage]]), intervals of 7 are off by two generators. In the 11-limit, intervals of 11 are off by 3 generators. Thinking of [[72edo|72edo]] might make this more concrete.</li><li>[[Catler|Catler]] - 5-limit as in 12edo; intervals of 7 are off by one generator.</li><li>[[Atomic|Atomic]] - Does not temper out the schisma, so 3/2 is one schisma sharp of its 12edo value. In atomic, since twelve fifths are sharp of seven octaves by twelve schismas, the Pythagorean comma is twelve schismas, and hence 81/80, the Didymus comma, is eleven schismas. In fact eleven schismas is sharp of 81/80, and twelve schismas of the Pythaorean comma, by the microscopic interval of the atom, which atomic tempers out. Extremely accurate.</li></ul>

[[Category:Rank-2 ~~temperaments~~]]

[[Category:Rank 2]]

[[Category:Lists of temperaments]]

@@ Line 2,962: / Line 2,962: @@
 <ul><li>[[Compton|Compton]] - 3-limit as in 12edo; intervals of 5 are off by one generator. In the 7-limit (sometimes called [[waage|waage]]), intervals of 7 are off by two generators. In the 11-limit, intervals of 11 are off by 3 generators. Thinking of [[72edo|72edo]] might make this more concrete.</li><li>[[Catler|Catler]] - 5-limit as in 12edo; intervals of 7 are off by one generator.</li><li>[[Atomic|Atomic]] - Does not temper out the schisma, so 3/2 is one schisma sharp of its 12edo value. In atomic, since twelve fifths are sharp of seven octaves by twelve schismas, the Pythagorean comma is twelve schismas, and hence 81/80, the Didymus comma, is eleven schismas. In fact eleven schismas is sharp of 81/80, and twelve schismas of the Pythaorean comma, by the microscopic interval of the atom, which atomic tempers out. Extremely accurate.</li></ul>
-[[Category:Rank-2 temperaments]]
+[[Category:Rank 2]]
 [[Category:Lists of temperaments]]