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User:FloraC/Temperament extension issues: Difference between revisions

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Renewed opinion on hemiwürschmidt
 
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; Hemiwürschmidt
; Hemiwürschmidt
: 7-limit → 11-limit
: 11-limit → 13-limit
: 11-limit hemiwürschmidt should be decanonicalized. The 7-limit optimum is between 99 and 130. The 11-limit extension shifts it to somewhere between 130 and 161, and is a significant drop in accuracy. Hemiwürschmidt is also described as a 2.3.5.7.23-subgroup temperament, which is more natural.  
: 13-limit hemiwürschmidt should be decanonicalized. While the 11-limit extension is a significant drop in accuracy, it doesn't shift the optimum too much (from between 99 and 130 to somewhere near 130, as 291 (= 130 + 161) isn't more accurate), and it can be reasoned based on it using the same mapping as the 2.3.5.11-subgroup version of würschmidt, the latter of which is supported by the "core" equal temps, 31, 34 and 65. The 13-limit version is where the shift of optimum becomes qualitative difference and the 31 and 99e vals are both questionable anyway.  
: Proposed solution:  
: Proposed solution:  


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: 7-limit → 11-limit
: 7-limit → 11-limit
: 11-limit lunatic should be decanonicalized. Lunatic has at least three extensions: 205 & 323, 323 & 441, and 441 & 559. Perhaps, the canonicity of 441 & 559 could be argued on the basis that the 7-limit optimum is very close to 441; however, compared to the good efficiency and portability of the 7-limit temperament, this 11-limit extension is pretty mid.  
: 11-limit lunatic should be decanonicalized. Lunatic has at least three extensions: 205 & 323, 323 & 441, and 441 & 559. Perhaps, the canonicity of 441 & 559 could be argued on the basis that the 7-limit optimum is very close to 441; however, compared to the good efficiency and portability of the 7-limit temperament, this 11-limit extension is pretty mid.  
: Proposed solution:
; Maquila
: 5-limit → 7-limit
: 7-limit maquila should be decanonicalized, or alternatively the 5-limit restriction should. In either case, it's a low-accuracy, high-badness extension that uses the dual-7 65edo.
: Proposed solution:  
: Proposed solution:  


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: Paradigmic has two notable 13-limit extensions: 80 & 99e and 80 & 99ef, and like above, 80 & 99e is the simpler 19-form whereas 80 & 99ef is more accurate. 80 & 99ef also supports 13-limit parapyth, which is an extra point. It follows that 13-limit paradigmic needs a distinct name too.  
: Paradigmic has two notable 13-limit extensions: 80 & 99e and 80 & 99ef, and like above, 80 & 99e is the simpler 19-form whereas 80 & 99ef is more accurate. 80 & 99ef also supports 13-limit parapyth, which is an extra point. It follows that 13-limit paradigmic needs a distinct name too.  
: Proposed solution:  
: Proposed solution:  
; Secund
: 11-limit → 13-limit
: 13-limit secund should be decanonicalized, for the other extension is obviously way better.
: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: pending community reactions.


; Tertiaseptal
; Tertiaseptal
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; Würschmidt
; Würschmidt
: 5-limit → 7-limit
: 5-limit → 7-limit
: 7-limit würschmidt should be decanonicalized. 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 2.3.5.23-subgroup temperament, which is more natural.  
: 7-limit würschmidt should be decanonicalized. 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:  


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=== Rank-3 temperaments ===
=== Rank-3 temperaments ===
; Agni
: 11-limit → 13-limit
: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.
: Proposed solution: 13-limit agni → pavaka. Status: pending community reactions.
; Artemis
; Artemis
: 11-limit → 13-limit
: 11-limit → 13-limit
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: 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''.  
: 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.  
: Proposed solution: 11-limit nessafof → fof. Status: changed.  
; Secund
: 11-limit → 13-limit
: 13-limit secund should be decanonicalized, for the other extension is obviously way better.
: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: changed.


=== Rank-3 temperaments ===
=== Rank-3 temperaments ===
; Agni
: 11-limit → 13-limit
: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.
: Proposed solution: 13-limit agni → pavaka. Status: changed.
; Aphrodite
; Aphrodite
: 11-limit → 13-limit
: 11-limit → 13-limit
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