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 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. This should be obvious from the badness values and the optimal GPV sequences, but also the Graham complexities: 225 for 99e & 171e vs 189 for 99ef & 171ef.

The names of the ennealimmal extensions demonstrate an absolute devoidness of creativity. The same morpheme combination ennealimma is re-used again and again, making all the extension names almost undistinguishable. Therefore I believe in rectifying these names we should inject new morphemes into the scene, while keeping the ennea- part to remind users of their relations. 11-limit ennealimmal (99e & 171e) tempers out the symbiotic comma, so it can be called enneabiotic. Further, since 13-limit 99e & 171e is the worse extension, it can be enneabio. The other high-accuracy 11-limit extension, 99 & 171, tempers out the olympic comma, so it can be called ennealympic.

Ennealimnic and ennealiminal were named earlier so I think they can stay.

Semiennealimmal is extremely misleading. It tempers out the pine comma so it can be ennealimmapine. This name is a little long but the temp itself isn't very notable anyway.

Proposed solution: 11-limit ennealimmal, 13-limit ennealimmalis → enneabiotic; 13-limit ennealimmal → enneabio; ennealimmia → ennealympic; semiennealimmal → ennealimmapine. Status: pending community reaction.

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. Eros is perhaps the best extension, and based on that, it would make sense to name the other extensions after the Erotes (Eros, Anteros, Himeros, Pothos). However, the other extensions are named after the equivalent deities of Aphrodite in other mythologies, so if we follow that pattern, the temperament in question may be named astarte, after Phoenician goddess Astarte.

Proposed solution: 13-limit aphrodite → astarte. Status: pending community reaction.

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: delete 17-limit laka. Status: pending community reaction.

Marvel

11-limit → 13-limit

13-limit marvel should be decanonicalized. Hecate is a very competitive extension, and based on that one could consider naming the temperament in question after Greek deities such as Helios, Hebe, Hermes, or Hephaestus.

Proposed solution: 13-limit marvel → helios/hebe/hermes/hephaestus. Status: pending community reaction.

Starling

7-limit → 11-limit

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

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