2554edo: Difference between revisions
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{{novelty}}{{stub}}{{Infobox ET|consistency=41|distinct | {{novelty}}{{stub}}{{Infobox ET|consistency=41|distinct=41}} | ||
'''2554edo''' is a remarkable very high limit equal temperament, [[EDO|dividing the octave equally]] into 2554 parts of 0.469851 [[cent]]s each. It is [[consistent]] through the [[41-odd-limit]] distinctly, tempering out 3025/3024, 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the [[optimal patent val]] for the rank-4 temperament tempering out [[3025/3024]], the lehmerisma, and [[thor]], the rank-3 temperament also tempering out [[4375/4374]]. | '''2554edo''' is a remarkable very high limit equal temperament, [[EDO|dividing the octave equally]] into 2554 parts of 0.469851 [[cent]]s each. It is [[consistent]] through the [[41-odd-limit]] distinctly, tempering out 3025/3024, 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the [[optimal patent val]] for the rank-4 temperament tempering out [[3025/3024]], the lehmerisma, and [[thor]], the rank-3 temperament also tempering out [[4375/4374]]. | ||
Revision as of 07:28, 9 July 2023
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2554edo is a remarkable very high limit equal temperament, dividing the octave equally into 2554 parts of 0.469851 cents each. It is consistent through the 41-odd-limit distinctly, tempering out 3025/3024, 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the optimal patent val for the rank-4 temperament tempering out 3025/3024, the lehmerisma, and thor, the rank-3 temperament also tempering out 4375/4374.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.003 | -0.096 | +0.007 | -0.182 | +0.036 | -0.179 | -0.097 | -0.083 | -0.133 | -0.008 | +0.026 | -0.088 |
| Relative (%) | +0.0 | +0.6 | -20.4 | +1.6 | -38.8 | +7.7 | -38.0 | -20.7 | -17.7 | -28.3 | -1.7 | +5.6 | -18.8 | |
| Steps (reduced) |
2554 (0) |
4048 (1494) |
5930 (822) |
7170 (2062) |
8835 (1173) |
9451 (1789) |
10439 (223) |
10849 (633) |
11553 (1337) |
12407 (2191) |
12653 (2437) |
13305 (535) |
13683 (913) | |