14ed5: Difference between revisions
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== Theory == | == Theory == | ||
14ed5 is the first ED5 which can reasonably be described as a 5.7.11 subgroup temperament, excluding harmonics 2 and 3 as implied by pentaves, with the mapping {{val|14 17 21}}. The best approximation of 7/5 is near 2edo's tritone at 597 cents, while 11/5 mapped to the square root of five, a major ninth of 1393 cents. The mapping of 11/5 means 14ed5 supports [[juggernaut]] temperament, one of the lowest-badness 5.7.11 temperaments, comparable to octave-repeating meantone, and as such 14ed5 can be considered a no-twos-or-threes analog of 12edo. | 14ed5 is the first ED5 which can reasonably be described as a 5.7.11 subgroup temperament, excluding harmonics 2 and 3 as implied by pentaves, with the mapping {{val|14 17 21}}. The best approximation of 7/5 is near 2edo's tritone at 597 cents, while 11/5 mapped to the square root of five, a major ninth of 1393 cents. The mapping of 11/5 means 14ed5 supports [[juggernaut]] temperament, one of the lowest-badness 5.7.11 temperaments, comparable to octave-repeating meantone, and as such 14ed5 can be considered a no-twos-or-threes analog of 12edo. | ||
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