User:CompactStar/Ed11/3: Difference between revisions

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== Properties ==

Division of 11/3 into equal parts ~~can be conceived of as to~~ directly ~~use~~ this interval as an equivalence~~, or not~~. The question of [[equivalence]] has not even been posed yet. Many, though not all, of these scales have a perceptually important ~~pseudo (~~false) octave, with various degrees of accuracy.

Division of 11/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. Many, though not all, of these scales have a perceptually important false octave, with various degrees of accuracy.

Incidentally, one way to treat 11/3 as an equivalence is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the ~~11/~~3.3.~~5 fractional~~ subgroup). This temperament yields 6, 7, 13, and 20 note ~~MOS~~.

Incidentally, one way to treat 11/3 as an equivalence is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the 3.5.11 subgroup). This temperament yields 6-, 7-, 13-, and 20-note [[mos scale]]s.

[[Category:Edonoi]]

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 == Properties ==
-Division of 11/3 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet.  Many, though not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.
+Division of 11/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. Many, though not all, of these scales have a perceptually important false octave, with various degrees of accuracy.
-Incidentally, one way to treat 11/3 as an equivalence is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the 11/3.3.5 fractional subgroup). This temperament yields 6, 7, 13, and 20 note MOS.
+Incidentally, one way to treat 11/3 as an equivalence is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the 3.5.11 subgroup). This temperament yields 6-, 7-, 13-, and 20-note [[mos scale]]s.
 [[Category:Edonoi]]