User:FloraC/Temperament extension issues: Difference between revisions

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: ''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: pending community reaction.

; Hendecatonic

: 7-limit → 11-limit

: 11-limit hendecatonic should be decanonicalized. See the case with misty.

; Keemun

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; 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~~.

: 11-limit parakleismic should be decanonicalized. Extending parakleismic to the 11- and 13-limit is complicated, mainly cuz both 99edo and 118edo have ambiguous interpretations, but paralytic (99e & 118) is the "main" extension here, since septimal parakleismic is really an interpolation between 99 and 118, with 217 giving a good middle ground. Note that 217 is more accurate than both 99 and 118 in the 7-limit, showing that the optimum isn't very near 99. Paralytic uses the 19e val, which is reasonable, and the other extensions zigzag around this segment: 80 & 99e, called paradigmic, 118 & 137d, which is our "undecimal parakleismic" tho the optimum is sharp of 87\118, making it 99 & 118, and finally 61de & 80, called parkleismic, tho the optimum is flat of 59\80, making it 80 & 99.

: Paralytic has four notable 13-limit extensions: 99ef & 118, 99e & 118, 99ef & 118f, and 99e & 118f. Note that 99e & 118 and 99ef & 118f are the more accurate ones, supported by 217, and the other two are less accurate, but use the simpler 19e form in the 13-limit. The 13-odd-limit Graham complexities of 99e & 118 and 99ef & 118f are 157 and 142, respectively, showing that 99e & 118 isn't simpler than 99ef & 118f; thus 13-limit paralytic 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:

@@ Line 30: / Line 30: @@
 : ''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: pending community reaction.
+; Hendecatonic
+: 7-limit → 11-limit
+: 11-limit hendecatonic should be decanonicalized. See the case with misty.
 ; Keemun
@@ Line 63: / Line 67: @@
 ; 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.
+: 11-limit parakleismic should be decanonicalized. Extending parakleismic to the 11- and 13-limit is complicated, mainly cuz both 99edo and 118edo have ambiguous interpretations, but paralytic (99e & 118) is the "main" extension here, since septimal parakleismic is really an interpolation between 99 and 118, with 217 giving a good middle ground. Note that 217 is more accurate than both 99 and 118 in the 7-limit, showing that the optimum isn't very near 99. Paralytic uses the 19e val, which is reasonable, and the other extensions zigzag around this segment: 80 & 99e, called paradigmic, 118 & 137d, which is our "undecimal parakleismic" tho the optimum is sharp of 87\118, making it 99 & 118, and finally 61de & 80, called parkleismic, tho the optimum is flat of 59\80, making it 80 & 99.
+: Paralytic has four notable 13-limit extensions: 99ef & 118, 99e & 118, 99ef & 118f, and 99e & 118f. Note that 99e & 118 and 99ef & 118f are the more accurate ones, supported by 217, and the other two are less accurate, but use the simpler 19e form in the 13-limit. The 13-odd-limit Graham complexities of 99e & 118 and 99ef & 118f are 157 and 142, respectively, showing that 99e & 118 isn't simpler than 99ef & 118f; thus 13-limit paralytic 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: