User:FloraC/Temperament extension issues: Difference between revisions

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; Keemun

: 11-limit → 13-limit

: 13-limit keemun should be decanonicalized. Kema, which maps prime 13 to +14 steps, is the right extension to use, as in all kleismic temperaments.

: 13-limit keemun should be decanonicalized. Kema, which maps prime 13 to +14 steps, is the right extension to use, as in all kleismic temperaments. Its edo join is 15 & 19, while the current canonical 13-limit extension is 15f & 19, and 15 is better than 15f. Kema is additionally supported by patent 34, while the current canonical extension uses the much less accurate 34f. The mapping of prime 13 to -5 generators is inaccurate and in the opposite direction compared to primes 3, 5, and 7, making other intervals of 13 more complex.

: Proposed solution:

Line 60:

: 11-limit → 13-limit

: 13-limit secund should be decanonicalized, for the other extension is obviously way better.

: Proposed solution:

: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: pending community reactions.

; Tertiaseptal

: 7-limit → 11-limit

: 11-limit tertiaseptal should be decanonicalized. Tertiaseptal has three 11-limit extensions: 109 & 140, 140 & 171, and 171 & 202. Perhaps, the canonicity of 171 & 202 could be argued on the basis that the 7-limit optimum is very close to 171; however, compared to the absolute supremacy of the 7-limit temperament, this 11-limit extension is plain bad. ''Tertia'' and ''tertiaseptia'' are bad-tasted names so we might wanna reconsider these names too.

: Proposed solution:

; Wesley

: 5-limit → 7-limit

: 7-limit wesley should be decanonicalized. The tuning is not very representative of 5-limit wesley. Roman (26 & 29) is most representative, even tho it's a little more complex.

: Proposed solution:

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; Schismatic family

: Various dubious extensions. ~~Will eventually collect them and add to the talk page~~.

: Various dubious extensions. See [[Talk: Schismatic family #Extensions]]. Pending public reactions.

; Tetracot family

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; Agni

: 11-limit → 13-limit

: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72.

: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.

: Proposed solution:

: Proposed solution: 13-limit agni → pavaka. Status: pending community reactions.

; Artemis

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Line 97:

: 11-limit → 13-limit

: 13-limit big brother should be decanonicalized. See the case with artemis.

: Proposed solution:

; Freya

: 11-limit → 13-limit

: 13-limit freya should be decanonicalized. 11-limit freya has three extensions: 31 & 41 & 270, 31 & 72 & 270, and 41 & 72 & 270. 31 & 41 & 270 is a pretty neutral choice, but is also the least efficient out of all three.

: Proposed solution:

== Closed issues ==

@@ Line 32: / Line 32: @@
 ; Keemun
 : 11-limit → 13-limit
-: 13-limit keemun should be decanonicalized. Kema, which maps prime 13 to +14 steps, is the right extension to use, as in all kleismic temperaments.
+: 13-limit keemun should be decanonicalized. Kema, which maps prime 13 to +14 steps, is the right extension to use, as in all kleismic temperaments. Its edo join is 15 & 19, while the current canonical 13-limit extension is 15f & 19, and 15 is better than 15f. Kema is additionally supported by patent 34, while the current canonical extension uses the much less accurate 34f. The mapping of prime 13 to -5 generators is inaccurate and in the opposite direction compared to primes 3, 5, and 7, making other intervals of 13 more complex.
 : Proposed solution:
@@ Line 60: / Line 60: @@
 : 11-limit → 13-limit
 : 13-limit secund should be decanonicalized, for the other extension is obviously way better.
-: Proposed solution:
+: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: pending community reactions.
 ; Tertiaseptal
 : 7-limit → 11-limit
 : 11-limit tertiaseptal should be decanonicalized. Tertiaseptal has three 11-limit extensions: 109 & 140, 140 & 171, and 171 & 202. Perhaps, the canonicity of 171 & 202 could be argued on the basis that the 7-limit optimum is very close to 171; however, compared to the absolute supremacy of the 7-limit temperament, this 11-limit extension is plain bad. ''Tertia'' and ''tertiaseptia'' are bad-tasted names so we might wanna reconsider these names too.
+: Proposed solution:
+; Wesley
+: 5-limit → 7-limit
+: 7-limit wesley should be decanonicalized. The tuning is not very representative of 5-limit wesley. Roman (26 & 29) is most representative, even tho it's a little more complex.
 : Proposed solution:
@@ Line 73: / Line 78: @@
 ; Schismatic family
-: Various dubious extensions. Will eventually collect them and add to the talk page.
+: Various dubious extensions. See [[Talk: Schismatic family #Extensions]]. Pending public reactions.
 ; Tetracot family
@@ Line 81: / Line 86: @@
 ; Agni
 : 11-limit → 13-limit
-: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72.
+: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.
-: Proposed solution:
+: Proposed solution: 13-limit agni → pavaka. Status: pending community reactions.
 ; Artemis
@@ Line 92: / Line 97: @@
 : 11-limit → 13-limit
 : 13-limit big brother should be decanonicalized. See the case with artemis.
 : Proposed solution:
+; Freya
+: 11-limit → 13-limit
+: 13-limit freya should be decanonicalized. 11-limit freya has three extensions: 31 & 41 & 270, 31 & 72 & 270, and 41 & 72 & 270. 31 & 41 & 270 is a pretty neutral choice, but is also the least efficient out of all three.
+: Proposed solution:
 == Closed issues ==