User:Zhenlige/EDO impressions: Difference between revisions
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*[[11edo|11]]: Incomplete 22edo. | *[[11edo|11]]: Incomplete 22edo. | ||
*[[12edo|12]]: It deserves its position. A good tuning for almost all types of music, though not perfect. Very excellent [[3/2]] as well as prime [[17/1|17]] and [[19/1|19]] for its size. Easy to make [[../12neji|accurate NEJIs]]. | *[[12edo|12]]: It deserves its position. A good tuning for almost all types of music, though not perfect. Very excellent [[3/2]] as well as prime [[17/1|17]] and [[19/1|19]] for its size, but inaccurate [[5/4]] and worse [[7/4]]. Suitable for symmetric scales. Easy to make [[../12neji|accurate NEJIs]]. | ||
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*[[15edo|15]]: Better than it seems to be, tho still rough. A heavily stretched [[Carlos Alpha]] scale. | *[[15edo|15]]: Better than it seems to be, tho still rough. A heavily stretched [[Carlos Alpha]] scale. | ||
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*[[17edo|17]]: Interesting sharp fifths. The fact that its thirds do not approximate any simple ratios well is a pity. (or benefit? I don't know) | *[[17edo|17]]: Interesting sharp fifths. The fact that its thirds do not approximate any simple ratios well is a pity. (or benefit? I don't know) | ||
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*[[19edo|19]]: Usable but imperfect for many temperaments. [[Meantone]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone 31edo is more preferable. The lower bound of a good fifth. | *[[19edo|19]]: Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone 31edo is more preferable, and for magic 41edo. The lower bound of a good fifth. Good as a subset of [[enneadecal]]. | ||
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*[[22edo|22]]: Good [[superpyth]] and [[porcupine]] tuning. The higher bound of a good fifth. | *[[22edo|22]]: Good [[superpyth]] and [[porcupine]] tuning. The higher bound of a good fifth. | ||
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*[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19. | *[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19. | ||
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*[[26edo|26]]: A stack of [[7/4]]. Incomplete [[130edo]]. | |||
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*[[31edo|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. | *[[31edo|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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*[[37edo|37]]: Everything but prime [[3/1|3]]. Maybe interesting though. | *[[37edo|37]]: Everything but prime [[3/1|3]]. Maybe interesting though. | ||
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*[[41edo|41]]: Good for [[magic]]. The [[Kite guitar]] shows its elegance, with many simple intervals equidistantly spreaded. | *[[41edo|41]]: Good for [[magic]]. The [[Kite guitar]] shows its elegance, with many simple intervals equidistantly spreaded. Also good [[garibaldi]] and [[neutral]]. | ||
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*[[50edo|50]]: Good flatter meantone, but I usually just go for [[golden meantone]] at this level of precision. | *[[50edo|50]]: Good flatter meantone, but I usually just go for [[golden meantone]] at this level of precision. | ||
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*[[118edo|118]]: The relationship of 53-118-171edo for [[schismatic]] is similar to 12-19-31edo for meantone. 53 and 12 are the simplest with very mildly tempered fifths, 118 and 19 are better over all but a bit overtempered (outside 5-odd-limit [[diamond tradeoff]]), and 171 and 31 are ideal. So like 19, I won't use it much. | *[[118edo|118]]: The relationship of 53-118-171edo for [[schismatic]] is similar to 12-19-31edo for meantone. 53 and 12 are the simplest with very mildly tempered fifths, 118 and 19 are better over all but a bit overtempered (outside 5-odd-limit [[diamond tradeoff]]), and 171 and 31 are ideal. So like 19, I won't use it much. | ||
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*[[171edo|171]]: Ideal for approximating 7-limit JI. At this size level, EDOs are more like free pitch, rather than either JI or a stable temperament. | *[[171edo|171]]: Ideal for approximating [[7-limit]] JI Good as [[schismatic]], [[gammic]], [[ennealimmal]] and [[enneadecal]]. At this size level, EDOs are more like free pitch, rather than either JI or a stable temperament. | ||
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*[[224edo|224]]: like 171 but with a slightly sharper (and closer to just) fifth, worse 7-limit but better [[13-limit]]. | |||