User:FloraC/Temperament extension issues: Difference between revisions
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; Augmented/augene | ; Augmented/augene | ||
: 5-limit → 7-limit | : 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 | : 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 be relegated to the 13-limit extension cuz that one is much worse. | ||
: Proposed solution: 7-, and 11-limit augene → augmented. | : Proposed solution: 7-, and 11-limit augene → augmented. | ||
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: 5-limit → 7-limit | : 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. | : 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: | : Proposed solution: | ||