User:Zhenlige/EDO impressions: Difference between revisions

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*[[3edo|3]]:

*...

*[[5edo|5]]:

*[[6edo|6]]: Incomplete 12edo.

*...

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*[[11edo|11]]: Incomplete 22edo.

*[[12edo|12]]: A good tuning for almost all music, but maybe 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 music, but maybe 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]].

*...

*[[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.

*...

*[[19edo|19]]: [[Meantone]], but with a too flat fifth. ~~Stran~~. Also a compressed [[Carlos Beta]]. 31edo is more preferable. The lower bound of a good fifth.

*[[19edo|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.

*...

*[[22edo|22]]: Good [[superpyth]] and [[porcupine]] tuning. The higher bound of a good fifth.

*...

*[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]].

*[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19.

*...

*[[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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*[[34edo|34]]: 17 with prime [[5/1|5]].

*...

*[[36edo|36]]: ~~Incomplete~~ 72edo.

*[[36edo|36]]: Good for 2.3.7.13.17.19.23.29 subroup. Otherwise incomplete 72edo.

*[[37edo|37]]: Everything but prime [[3/1|3]]. Maybe interesting though.

*...

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*[[53edo|53]]: Almost just [[3/2]], and accurate [[7-limit]]. Purely an approximation of JI.

*...

*[[72edo|72]]: An excellent extension of 12- and 24edo.

*[[72edo|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.

*...

@@ Line 4: / Line 4: @@
 *[[3edo|3]]:
 *...
+*[[5edo|5]]:
 *[[6edo|6]]: Incomplete 12edo.
 *...
@@ Line 9: / Line 10: @@
 *...
 *[[11edo|11]]: Incomplete 22edo.
-*[[12edo|12]]: A good tuning for almost all music, but maybe 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 music, but maybe 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]].
 *...
 *[[15edo|15]]: Better than it seems to be, tho still rough. A heavily stretched [[Carlos Alpha]] scale.
@@ Line 15: / Line 16: @@
 *[[17edo|17]]: Interesting sharp fifths.
 *...
-*[[19edo|19]]: [[Meantone]], but with a too flat fifth. Stran. Also a compressed [[Carlos Beta]]. 31edo is more preferable. The lower bound of a good fifth.
+*[[19edo|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.
 *...
 *[[22edo|22]]: Good [[superpyth]] and [[porcupine]] tuning. The higher bound of a good fifth.
 *...
-*[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]].
+*[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19.
 *...
 *[[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.
@@ Line 25: / Line 26: @@
 *[[34edo|34]]: 17 with prime [[5/1|5]].
 *...
-*[[36edo|36]]: Incomplete 72edo.
+*[[36edo|36]]: Good for 2.3.7.13.17.19.23.29 subroup. Otherwise incomplete 72edo.
 *[[37edo|37]]: Everything but prime [[3/1|3]]. Maybe interesting though.
 *...
@@ Line 32: / Line 33: @@
 *[[53edo|53]]: Almost just [[3/2]], and accurate [[7-limit]]. Purely an approximation of JI.
 *...
-*[[72edo|72]]: An excellent extension of 12- and 24edo.
+*[[72edo|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.
 *...