User:FloraC/Temperament extension issues: Difference between revisions

Line 13:

: 7-limit → 11-limit

: 11-limit diminished should be decanonicalized. It flips the optimal tuning from flat to sharp of just.

: Proposed solution:

; Gammic

: 7-limit → 11-limit

: 11-limit gammic should be decanonicalized. It's a low-accuracy extension.

: Proposed solution:

Line 23:

Line 28:

: 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.

: Proposed solution:

; Lunatic

: 7-limit → 11-limit

: 11-limit lunatic should be decanonicalized. Lunatic has at least three extensions: 205 & 323, 323 & 441, and 441 & 559. Perhaps, the canonicity of 441 & 559 could be argued on the basis that the 7-limit optimum is very close to 441; however, compared to the good efficiency and portability of the 7-limit temperament, this 11-limit extension is pretty mid.

: Proposed solution:

; Neptune

: 7-limit → 11-limit

: 11-limit neptune should be decanonicalized. It's a low-accuracy extension. Neptune is also described as a 2.3.5.7.17-subgroup temperament, which is more natural. However, the 2.3.5.7.17.31-subgroup extension is a significant drop in accuracy so that one should at least be dual-named like ''triceneptune''.

: Proposed solution:

@@ Line 13: / Line 13: @@
 : 7-limit → 11-limit
 : 11-limit diminished should be decanonicalized. It flips the optimal tuning from flat to sharp of just.
+: Proposed solution:
+; Gammic
+: 7-limit → 11-limit
+: 11-limit gammic should be decanonicalized. It's a low-accuracy extension.
 : Proposed solution:
@@ Line 23: / Line 28: @@
 : 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.
+: Proposed solution:
+; Lunatic
+: 7-limit → 11-limit
+: 11-limit lunatic should be decanonicalized. Lunatic has at least three extensions: 205 & 323, 323 & 441, and 441 & 559. Perhaps, the canonicity of 441 & 559 could be argued on the basis that the 7-limit optimum is very close to 441; however, compared to the good efficiency and portability of the 7-limit temperament, this 11-limit extension is pretty mid.
+: Proposed solution:
+; Neptune
+: 7-limit → 11-limit
+: 11-limit neptune should be decanonicalized. It's a low-accuracy extension. Neptune is also described as a 2.3.5.7.17-subgroup temperament, which is more natural. However, the 2.3.5.7.17.31-subgroup extension is a significant drop in accuracy so that one should at least be dual-named like ''triceneptune''.
 : Proposed solution: