User:CompactStar/Ed11/3: Difference between revisions
CompactStar (talk | contribs) Created page with "The '''equal division of 11/3''' ('''ed11/3''') is a tuning obtained by dividing the undecimal neutral fourteenth (11/3) into a number of equal steps. == Pr..." |
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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 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. | ||
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). 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 11/3.3.5 fractional subgroup). This temperament yields 6, 7, 13, and 20 note MOS. | ||