User:FloraC/Temperament extension issues

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.

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. The name augene may be relegated to the 13-limit extension cuz that one is quite bad.

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.

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.

Ketchup: 17-limit → 19-limit; 19-limit ketchup should be decanonicalized. Ketchup should be a no-19 23-limit temperament.

Leapday: 17-limit → 19-limit; 19-limit leapday should be decanonicalized. Leapday should be a no-19 23-limit temperament.

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).

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.

Secund: 11-limit → 13-limit; 13-limit secund should be decanonicalized, for the other extension is obviously way better.

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.

Aphrodite: 11-limit → 13-limit; 13-limit aphrodite should be decanonicalized. It's the worst of the four catalogued extensions.

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.

Big brother: 11-limit → 13-limit; 13-limit big brother should be decanonicalized. See the case with artemis.

Laka: 13-limit → 17-limit; 17-limit laka should be decanonicalized. Laka should be a no-17 19-limit temperament.

Marvel: 11-limit → 13-limit; 13-limit marvel should be decanonicalized. Hecate is a very competitive extension.

Starling: 7-limit → 11-limit; 11-limit starling should be decanonicalized. Thrush is a better extension.