User:Zhenlige/EDO impressions

0: A fancy way to say “pitchless”.
1: Equivalent to 2-limit JI. Not much about harmony. Possibly useful for a transition between different tunings.
2:
3:
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5:
6: Incomplete 12edo.
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9: A subset of ennealimmal.
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11: Incomplete 22edo.
12: It deserves its position. A good tuning for almost all music, but maybe not perfect. Very excellent 3/2 as well as prime 17 and 19 for its size. Easy to make accurate NEJIs.
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15: Better than it seems to be, tho still rough. A heavily stretched Carlos Alpha scale.
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17: Interesting sharp fifths.
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19: Meantone, but with a too flat fifth. Strangely large minor 2nds. Also a compressed Carlos Beta. 31edo is more preferable. The lower bound of a good fifth.
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22: Good superpyth and porcupine tuning. The higher bound of a good fifth.
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24: 12edo with neutral intervals. Good for prime 11. Accurate in subgroup 2.3.11.17.19.
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31: Ideal for pure-octave meantone, combining lots of 11-limit extensions in a single tuning. For other temperaments its flat fifth is a drawback.
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34: 17 with prime 5.
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36: Good for 2.3.7.13.17.19.23.29 subroup. Otherwise incomplete 72edo.
37: Everything but prime 3. Maybe interesting though.
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50: Good flatter meantone, but I usually just go for golden meantone at this level of precision.
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53: Almost just 3/2, and accurate 7-limit. Purely an approximation of JI.
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72: An excellent extension of 12- and 24edo. The relative error is within 1/3 steps for even large primes except a few including 13, 53 and 59. Suitable for octave stretching in 17-limit.
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