User:FloraC/Temperament extension issues: Difference between revisions
No edit summary |
Re-organize |
||
| Line 3: | Line 3: | ||
A list of issues with temperament extensions. | A list of issues with temperament extensions. | ||
== Rank-2 temperaments == | == Open issues == | ||
=== Rank-2 temperaments === | |||
; Alphatrident | ; Alphatrident | ||
: 7-limit → 11-limit | : 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 & 229, 229 & 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. | : 11-limit alphatrident should be decanonicalized. The tuning is not very representative of 7-limit alphatrident. Specifically, alphatrident has three 11-limit extensions: 176 & 229, 229 & 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: | : Proposed solution: | ||
; Dicot | ; Dicot | ||
| Line 23: | Line 19: | ||
: 11-limit diminished should be decanonicalized. It flips the optimal tuning from flat to sharp of just. | : 11-limit diminished should be decanonicalized. It flips the optimal tuning from flat to sharp of just. | ||
: Proposed solution: | : Proposed solution: | ||
; Keemun | ; Keemun | ||
| Line 40: | Line 24: | ||
: 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. | : 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: | : Proposed solution: | ||
; Pajara | ; Pajara | ||
| Line 94: | Line 53: | ||
: Various dubious extensions to the 17-limit. See [[Talk: Tetracot family #17- and 19-limit extensions]]. Pending public reactions. | : Various dubious extensions to the 17-limit. See [[Talk: Tetracot family #17- and 19-limit extensions]]. Pending public reactions. | ||
== Rank-3 temperaments == | === Rank-3 temperaments === | ||
; Agni | ; Agni | ||
: 11-limit → 13-limit | : 11-limit → 13-limit | ||
: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72. | : 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72. | ||
: Proposed solution: | : Proposed solution: | ||
; Artemis | ; Artemis | ||
| Line 114: | Line 68: | ||
: 13-limit big brother should be decanonicalized. See the case with artemis. | : 13-limit big brother should be decanonicalized. See the case with artemis. | ||
: Proposed solution: | : Proposed solution: | ||
== Closed issues == | |||
=== Rank-2 temperaments === | |||
; 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: changed. | |||
; 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-, 17-, 19-limit ennealimmal → enneabio; ennealimmia → ennealympic; semiennealimmal → ennealimmapine. Status: changed. | |||
; Hendecatonic | |||
: 7-limit → 11-limit | |||
: 11-limit hendecatonic should be decanonicalized. It's not better than 22 & 99e, known as ''cohendecatonic''. | |||
: Proposed solution: 11-, 13- and 17-limit hendecatonic → hendecaton. Status: changed. | |||
; Ketchup | |||
: 17-limit → 19-limit | |||
: 19-limit ketchup should be decanonicalized. Ketchup should be a no-19 23-limit temperament. | |||
: Proposed solution: replace 19- and 23-limit ketchup with no-19 23-limit. Status: changed. | |||
; Leapday | |||
: 17-limit → 19-limit | |||
: 19-limit leapday should be decanonicalized. Leapday should be a no-19 23-limit temperament. | |||
: Proposed solution: replace 19- and 23-limit leapday and leapling with no-19 23-limit leapday. Status: changed. | |||
; 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: changed. | |||
; Nessafof | |||
: 7-limit → 11-limit | |||
: 11-limit nessafof should be decanonicalized. Extending nessafof to the 11-limit is complicated since both 84edo and 99edo have ambiguous interpretations (see the case with parakleismic). Currently we have catalogued the two low-complexity 15-form extensions, which makes sense. One is being called ''nessa'' so the other may simply be ''fof''. | |||
: Proposed solution: 11-limit nessafof → fof. Status: changed. | |||
=== Rank-3 temperaments === | |||
; 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: changed. | |||
; Jubilismic/jubilee | ; Jubilismic/jubilee | ||
: 7-limit → 11-limit | : 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''. | : 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: | : Proposed solution: 11-limit jubilee → jubilismic; 2.5.7-subgroup jubilic → jubilee. Status: changed/suspended. | ||
; Laka | ; Laka | ||
: 13-limit → 17-limit | : 13-limit → 17-limit | ||
: 17-limit laka should be decanonicalized. Laka should be a no-17 19-limit temperament. | : 17-limit laka should be decanonicalized. Laka should be a no-17 19-limit temperament. | ||
: Proposed solution: delete 17-limit laka. Status: | : Proposed solution: delete 17-limit laka. Status: changed. | ||
; Marvel | ; Marvel | ||
: 11-limit → 13-limit | : 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. | : 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. Status: | : Proposed solution: 13-limit marvel → helios. Status: changed. | ||
; Starling | ; Starling | ||
: 7-limit → 11-limit | : 7-limit → 11-limit | ||
: 11-limit starling should be decanonicalized. Thrush is a better extension. | : 11-limit starling should be decanonicalized. Thrush is a better extension. | ||
: Proposed solution: undecimal starling → starnova. Status: | : Proposed solution: undecimal starling → starnova. Status: changed. | ||