User:FloraC/Temperament extension issues

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A list of issues with temperament extensions.

Rank-2 temperaments

Alphatrident

7-limit → 11-limit

11-limit alphatrident should be decanonicalized. The tuning is not very representative of 7-limit alphatrident. Specifically, alphatrident has three 11-limit extensions: 176 & 217, 217 & 282, and 282 & 335d. The first and last are supported by 53 which means they are simpler, but they are not representative of the 7-limit optimum. The middle one is representative of the 7-limit optimum, but is very complex. Therefore, the situation is similar to slendric, where none of the extensions should be canon.

Proposed solution:

Augmented/augene

5-limit → 7-limit

7-limit augene should be canonicalized while 13-limit augene should be decanonicalized. Tempering out 126/125 is natural for diaschismic, augmented and diminished, and since both diaschismic and diminished have canonical 7-limit extensions, so should augmented (even tho septimal diaschismic is essentially grandfathered in). Furthermore, the 11-limit extension should remain as canon, for the 11-odd-limit diamond monotone range is the same as 9-odd-limit. The name augene may remain as an alias for this temperament, but the 13-limit extension should eventually have its name changed cuz that one is much worse.

Proposed solution: 7-, 11-, and 13-limit augene → augmented (augene). Status: done.

Dicot

5-limit → 7-limit

7-limit dicot should be decanonicalized. It has been clear that it's difficult to discuss these as a single temperament.

Proposed solution:

Diminished

7-limit → 11-limit

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

Proposed solution:

Ennealimmal

7-limit → 11-limit → 13-limit

11-limit ennealimmal should be decanonicalized. Further, 13-limit ennealimmal should be decanonicalized with respect to the 11-limit, or perhaps straight-up deleted to make way for the other extension to be canon. Compared to the absolute supremacy of the 7-limit temperament, the 11-limit is mid, and the 13-limit is just utterly wrong.

Proposed solution:

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.

Proposed solution:

Ketchup

17-limit → 19-limit

19-limit ketchup should be decanonicalized. Ketchup should be a no-19 23-limit temperament.

Proposed solution:

Leapday

17-limit → 19-limit

19-limit leapday should be decanonicalized. Leapday should be a no-19 23-limit temperament.

Proposed solution:

Magus

7-limit → 5-limit

5-limit magus should be decanonicalized. The 5-limit temperament's optimum is between 43edo and 46edo, which corresponds to the tuning range of amigo (43 & 46), not magus (46 & 49).

Proposed solution: 5-limit magus → amigo. Status: suspended.

Misty

7-limit → 11-limit

11-limit misty should be decanonicalized. Misty is more naturally a 2.3.5.7.17.19-subgroup temperament. Besides, 99 & 111, 99ef & 111, and 87 & 99 are all competitive extensions. Proposing these extensions as murky (87 & 99ef), smoky (87 & 99), hazy (99 & 111), and ashy (99ef & 111).

Proposed solution: 11-, 13-, 17-, and 19-limit misty → murky, delete mystic (87 & 99e). Status: done.

Pajara

11-limit → 13-limit

13-limit pajara should be decanonicalized. It's way too inaccurate. Pajara should be a no-13 17-limit temperament.

Proposed solution:

Parakleismic

7-limit → 11-limit

11-limit parakleismic should be decanonicalized. Like misty, this temperament involves 99et, which usually means the 11-limit forks into several, and none of the them can be said to dominate the others.

Proposed solution:

Secund

11-limit → 13-limit

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

Proposed solution:

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. The validity of tertiaseptia as a 41-limit temperament is questionable.

Proposed solution:

Schismatic family

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

Tetracot family

Various dubious extensions to the 17-limit. See Talk: Tetracot family #17- and 19-limit extensions. Pending public reactions.

Rank-3 temperaments

Agni

11-limit → 13-limit

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

Proposed solution:

Aphrodite

11-limit → 13-limit

13-limit aphrodite should be decanonicalized. It's the worst of the four catalogued extensions.

Proposed solution:

Artemis

11-limit → 13-limit

13-limit artemis should be decanonicalized, as diana is a very competitive extension. This is a series of awkward cases related to orwell, which doesn't have a simple and accurate 13-limit extension, but since the more accurate one, 31 & 53, was dubbed tridecimal orwell over the simpler 22f & 31, these rank-3 temperaments should not be utterly at odds with that. Related temperaments include guanyin and zeus, both go with the 31 & 53 path.

Proposed solution:

Big brother

11-limit → 13-limit

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

Proposed solution:

Jubilismic/jubilee

7-limit → 11-limit

Jubilee should be canonicalized. This is obvious. We should spare the name jubilee for the 2.5.7-subgroup temp, mirroring semaphore.

Proposed solution: 11-limit jubilee → jubilismic; 2.5.7-subgroup jubilic → jubilee. Status: done/suspended.

Laka

13-limit → 17-limit

17-limit laka should be decanonicalized. Laka should be a no-17 19-limit temperament.

Proposed solution:

Marvel

11-limit → 13-limit

13-limit marvel should be decanonicalized. Hecate is a very competitive extension.

Proposed solution:

Starling

7-limit → 11-limit

11-limit starling should be decanonicalized. Thrush is a better extension.

Proposed solution: undecimal starling → starnova. Status: done.