User:FloraC/Temperament extension issues: Difference between revisions
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: 11-limit chlorine should be decanonized. The 612 & 935 extension isn't more complex (with the same Graham complexity in the 11-odd-limit) but is way more accurate. | : 11-limit chlorine should be decanonized. The 612 & 935 extension isn't more complex (with the same Graham complexity in the 11-odd-limit) but is way more accurate. | ||
: Proposed solution: | : Proposed solution: | ||
; Gammic | ; Gammic | ||
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: 11-limit neptune should be decanonized. It's a low-accuracy extension. Neptune is also described as a 2.3.5.7.17-subgroup temperament, which is more natural. However, the 2.3.5.7.17.31-subgroup extension is a significant drop in accuracy, so that one should at least be dual-named, like ''triceneptune''. | : 11-limit neptune should be decanonized. It's a low-accuracy extension. Neptune is also described as a 2.3.5.7.17-subgroup temperament, which is more natural. However, the 2.3.5.7.17.31-subgroup extension is a significant drop in accuracy, so that one should at least be dual-named, like ''triceneptune''. | ||
: Proposed solution: | : Proposed solution: | ||
; Parakleismic | ; Parakleismic | ||
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: 13-limit spell should be decanonized. Cantrip, which maps 15/13 to the hemifourth (and hence prime 13 to +17 steps), is the right extension to use, as in all semaphoresmic temperaments. Besides, cantrip's equal-temperament join is 19 & 25e, which makes more sense than whatever the currently canonical extension is. | : 13-limit spell should be decanonized. Cantrip, which maps 15/13 to the hemifourth (and hence prime 13 to +17 steps), is the right extension to use, as in all semaphoresmic temperaments. Besides, cantrip's equal-temperament join is 19 & 25e, which makes more sense than whatever the currently canonical extension is. | ||
: Proposed solution: 13-limit spell → spellcraft; cantrip → 13-limit spell. Status: pending community reactions. | : Proposed solution: 13-limit spell → spellcraft; cantrip → 13-limit spell. Status: pending community reactions. | ||
; Wesley | ; Wesley | ||
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: 7-limit würschmidt should be decanonized. Almost all the notable supporting equal temperaments are dual-7: 34, 65, 96, and 127, and that speaks something about it. Würschmidt is also described as a 2.3.5.11.(23)-subgroup temperament, which is more natural. | : 7-limit würschmidt should be decanonized. Almost all the notable supporting equal temperaments are dual-7: 34, 65, 96, and 127, and that speaks something about it. Würschmidt is also described as a 2.3.5.11.(23)-subgroup temperament, which is more natural. | ||
: Proposed solution: | : Proposed solution: | ||
; Amity family | |||
: Various dubious extensions. See [[Talk: Amity family #Extensions]]. Pending public reactions. | |||
; Schismatic family | ; Schismatic family | ||
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: 7-limit dicot should be decanonized. It has been clear that it's difficult to discuss these as a single temperament. The 7-limit extension is in fact the best extension of 2.3.7-subgroup {54/49} (in the same way beep is the best extension of bug), known as ''mujannabic'', so it may inherit that name. | : 7-limit dicot should be decanonized. It has been clear that it's difficult to discuss these as a single temperament. The 7-limit extension is in fact the best extension of 2.3.7-subgroup {54/49} (in the same way beep is the best extension of bug), known as ''mujannabic'', so it may inherit that name. | ||
: Proposed solution: 7- and 11-limit dicot → mujannabic. Status: changed. | : Proposed solution: 7- and 11-limit dicot → mujannabic. Status: changed. | ||
; Diminished | |||
: 7-limit → 11-limit | |||
: 11-limit diminished should be decanonized. While it's natural to temper out 99/98 and 100/99 as a jubilismic temperament, the 36/35 (= S8⋅S9) in the comma list makes this less accurate since we're equating 8/7~10/9 with 11/10. Besides, it flips the optimal tuning from flat to sharp of just. Diminished could arguably be more naturally defined on 2.3.5.7.17.19. | |||
: Proposed solution: 11-limit diminished → diminutive. Status: changed. | |||
; Ennealimmal | ; Ennealimmal | ||
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: 11-limit nessafof should be decanonized. 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''. | : 11-limit nessafof should be decanonized. 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. | : Proposed solution: 11-limit nessafof → fof. Status: changed. | ||
; Pajara | |||
: 11-limit → 13-limit | |||
: 13-limit pajara should be decanonized. It's way too inaccurate. Pajara should be a no-13 17-limit temperament. | |||
: Proposed solution: 13-limit pajara → paja. Status: changed. | |||
; Secund | ; Secund | ||
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: 13-limit secund should be decanonized, for the other extension is obviously way better. | : 13-limit secund should be decanonized, for the other extension is obviously way better. | ||
: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: changed. | : Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: changed. | ||
; Tertiaseptal | |||
: 7-limit → 11-limit | |||
: 11-limit tertiaseptal should be decanonized. 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. Tertiaseptal is also described as a no-11 13- and 17-limit temperament, which further justifies the change. | |||
: Currently, the other 11-limit extensions are called ''tertia'' and ''tertiaseptia'', which, despite the confusing form (sounds like commas rather than temps), suggests that the extension 171 & 202 might be ''septia''. | |||
: Proposed solution: 11-limit tertiaseptal → septia. Status: changed. | |||
=== Rank-3 temperaments === | === Rank-3 temperaments === | ||