User:Zhenlige/EDO impressions: Difference between revisions
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*[[4edo|4]]: 12edo diminished seventh chords. | *[[4edo|4]]: 12edo diminished seventh chords. | ||
*[[5edo|5]]: Equalized [[2L 3s|pentatonic]] scale. Kinda familiar but everything is warped. The first EDO containing an interval that roughly resembles [[3/2]]. Not very noticeable harmonically. | *[[5edo|5]]: Equalized [[2L 3s|pentatonic]] scale. Kinda familiar but everything is warped. The first EDO containing an interval that roughly resembles [[3/2]]. Not very noticeable harmonically. | ||
*[[6edo|6]]: Incomplete [[12edo]]. | *[[6edo|6]]: Incomplete [[12edo]]. Also a heavily stretched [[didacus]] chain. | ||
*[[7edo|7]]: Equalized [[5L 2s|diatonic]] scale. Similar to 5edo. | *[[7edo|7]]: Equalized [[5L 2s|diatonic]] scale. Similar to 5edo. | ||
*[[8edo|8]]: Incomplete [[24edo]]. | *[[8edo|8]]: Incomplete [[24edo]]. | ||
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*[[10edo|10]]: A stack of [[13/8]]. A subset of [[130edo]] and [[270edo]]. | *[[10edo|10]]: A stack of [[13/8]]. A subset of [[130edo]] and [[270edo]]. | ||
*[[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, but inaccurate [[5/4]] and worse [[7/4]]. Suitable for symmetric scales. Easy to make [[../12neji|accurate NEJIs]]. Its 2.3.17.19 subgroup really deserves | *[[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]]. Its 2.3.17.19 subgroup really deserves more exploration (something “xenharmonic” but not “microtonal”). | ||
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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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*[[27edo|27]]: Worse than both 12- and 22edo for 7-limit. It is distinct tho, but that is like thinking 0.1 is better represented as 1 than 0. The fact that [[53edo]] is good indicates that 26- and 27edo are probably bad. | *[[27edo|27]]: Worse than both 12- and 22edo for 7-limit. It is distinct tho, but that is like thinking 0.1 is better represented as 1 than 0. The fact that [[53edo]] is good indicates that 26- and 27edo are probably bad. | ||
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*[[31edo|31]]: Ideal for pure-octave [[meantone]], combining lots of 11-limit extensions in a single tuning. Also [[valentine]]. IMO the best meantone EDO. For other temperaments its flat fifth may be a drawback. | *[[31edo|31]]: Ideal for pure-octave [[meantone]], combining lots of 11-limit extensions in a single tuning. Also [[valentine]] and [[miracle]]. IMO the best meantone EDO. For other temperaments its flat fifth may be a drawback. | ||
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*[[34edo|34]]: 17edo with prime [[5/1|5]], but no [[7/1|7]]. Also a stretched [[Carlos Gamma]]. | *[[34edo|34]]: 17edo with prime [[5/1|5]], but no [[7/1|7]]. Also a stretched [[Carlos Gamma]]. | ||