User:FloraC/Temperament extension issues: Difference between revisions

: 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.  

; 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.  

; 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).  

; Misty

: 7-limit → 11-limit

: 11-limit misty should be decanonicalized. At least 99ef & 111 is a very competitive extension.  

; 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.  

; 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.  

; Secund

: 11-limit → 13-limit

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

; Schismatic family

: 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.