User:FloraC/Temperament extension issues - Revision history

FloraC: + gammic, lunatic, neptune

2026-06-25T08:08:03Z

+ gammic, lunatic, neptune

@@ Line 13: / Line 13: @@
 : 7-limit → 11-limit
 : 11-limit diminished should be decanonicalized. It flips the optimal tuning from flat to sharp of just.
 : Proposed solution:
@@ Line 23: / Line 28: @@
 : 11-limit → 13-limit
 : 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:

FloraC at 04:41, 9 June 2026

2026-06-09T04:41:29Z

← Older revision		Revision as of 04:41, 9 June 2026
Line 9:		Line 9:
	: 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~~
	~~: 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. 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: pending community reaction.~~

	; Diminished		; Diminished
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 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:

			; Hemiwürschmidt
			: 7-limit → 11-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.
	: Proposed solution:		: Proposed solution:

Line 45:		Line 45:
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 11-limit tertiaseptal should be decanonicalized. 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. ''Tertia'' and ''tertiaseptia'' are bad-tasted names so we might wanna reconsider these names too.		: 11-limit tertiaseptal should be decanonicalized. 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. ''Tertia'' and ''tertiaseptia'' are bad-tasted names so we might wanna reconsider these names too.
			: Proposed solution:

			; Würschmidt
			: 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.
	: Proposed solution:		: Proposed solution:

Line 75:		Line 80:
	: 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.		: 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.		: Proposed solution: 7-, 11-, and 13-limit augene → augmented (augene). Status: changed.

			; Dicot
			: 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. 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.

	; Ennealimmal		; Ennealimmal

FloraC at 17:43, 27 May 2026

2026-05-27T17:43:33Z

← Older revision		Revision as of 17:43, 27 May 2026
Line 12:		Line 12:
	; Dicot		; Dicot
	: 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. 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:		: Proposed solution: 7- and 11-limit dicot → mujannabic. Status: pending community reaction.

	; Diminished		; Diminished

FloraC: Re-organize

2026-05-19T09:41:26Z

Re-organize

Show changes

FloraC at 09:36, 19 May 2026

2026-05-19T09:36:38Z

← Older revision		Revision as of 09:36, 19 May 2026
Line 29:		Line 29:
	: 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.		: 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.		: ''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~~.		: Proposed solution: 11-limit ennealimmal, 13-limit ennealimmalis → enneabiotic; 13-, 17-, 19-limit ennealimmal → enneabio; ennealimmia → ennealympic; semiennealimmal → ennealimmapine. Status: done.

	; Hendecatonic		; Hendecatonic
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 11-limit hendecatonic should be decanonicalized. It's not better than 22 & 99e, known as ''cohendecatonic''.		: 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: ~~pending community reaction~~.		: Proposed solution: 11-, 13- and 17-limit hendecatonic → hendecaton. Status: done.

	; Keemun		; Keemun
Line 128:		Line 128:
	: 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: ~~pending community reaction~~.		: Proposed solution: 13-limit marvel → helios. Status: done.

	; Starling		; Starling

FloraC: - typo

2026-05-18T15:16:42Z

- typo

← Older revision		Revision as of 15:16, 18 May 2026
Line 34:		Line 34:
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 11-limit hendecatonic should be decanonicalized. It's not better than 22 & 99e, known as ''cohendecatonic''.		: 11-limit hendecatonic should be decanonicalized. It's not better than 22 & 99e, known as ''cohendecatonic''.
	: Proposed solution: 11-, 13- and 17-limit ~~hencatonic~~ → hendecaton. Status: pending community reaction.		: Proposed solution: 11-, 13- and 17-limit hendecatonic → hendecaton. Status: pending community reaction.

	; Keemun		; Keemun

FloraC at 15:11, 18 May 2026

2026-05-18T15:11:40Z

← Older revision		Revision as of 15:11, 18 May 2026
Line 33:		Line 33:
	; Hendecatonic		; Hendecatonic
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 11-limit hendecatonic should be decanonicalized. ~~See the case with misty~~.		: 11-limit hendecatonic should be decanonicalized. It's not better than 22 & 99e, known as ''cohendecatonic''.
	: Proposed solution:		: Proposed solution: 11-, 13- and 17-limit hencatonic → hendecaton. Status: pending community reaction.

	; Keemun		; Keemun
Line 49:		Line 49:
	: 17-limit → 19-limit		: 17-limit → 19-limit
	: 19-limit leapday should be decanonicalized. Leapday should be a no-19 23-limit temperament.		: 19-limit leapday should be decanonicalized. Leapday should be a no-19 23-limit temperament.
	: Proposed solution:		: Proposed solution: replace 19- and 23-limit leapday and leapling with no-19 23-limit leapday. Status: pending community reaction.

	; Magus		; Magus
Line 85:		Line 85:
	; Tertiaseptal		; Tertiaseptal
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 11-limit tertiaseptal should be decanonicalized. 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. ''Tertia'' and ''tertiaseptia'' are bad-tasted names so we might wanna reconsider these names too~~. The validity of tertiaseptia as a 41-limit temperament is questionable~~.		: 11-limit tertiaseptal should be decanonicalized. 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. ''Tertia'' and ''tertiaseptia'' are bad-tasted names so we might wanna reconsider these names too.
	: Proposed solution:		: Proposed solution:

Line 128:		Line 128:
	: 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~~/hebe/hermes/hephaestus~~. Status: pending community reaction.		: Proposed solution: 13-limit marvel → helios. Status: pending community reaction.

	; Starling		; Starling

FloraC at 03:43, 25 April 2026

2026-04-25T03:43:20Z

← Older revision		Revision as of 03:43, 25 April 2026
Line 103:		Line 103:
	: 11-limit → 13-limit		: 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.		: 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: ~~pending community reaction~~.		: Proposed solution: 13-limit aphrodite → astarte. Status: done.

	; Artemis		; Artemis
Line 123:		Line 123:
	: 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: ~~pending community reaction~~.		: Proposed solution: delete 17-limit laka. Status: done.

	; Marvel		; Marvel

FloraC at 10:09, 19 April 2026

2026-04-19T10:09:32Z

← Older revision		Revision as of 10:09, 19 April 2026
Line 44:		Line 44:
	: 17-limit → 19-limit		: 17-limit → 19-limit
	: 19-limit ketchup should be decanonicalized. Ketchup should be a no-19 23-limit temperament.		: 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: ~~pending community reaction~~.		: Proposed solution: replace 19- and 23-limit ketchup with no-19 23-limit. Status: done.

	; Leapday		; Leapday
Line 64:		Line 64:
	: 7-limit → 11-limit		: 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''.		: 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: ~~pending community reaction~~.		: Proposed solution: 11-limit nessafof → fof. Status: done.

	; Pajara		; Pajara

FloraC at 15:42, 18 April 2026

2026-04-18T15:42:59Z

← Older revision		Revision as of 15:42, 18 April 2026
Line 34:		Line 34:
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 11-limit hendecatonic should be decanonicalized. See the case with misty.		: 11-limit hendecatonic should be decanonicalized. See the case with misty.
			: Proposed solution:

	; Keemun		; Keemun
Line 43:		Line 44:
	: 17-limit → 19-limit		: 17-limit → 19-limit
	: 19-limit ketchup should be decanonicalized. Ketchup should be a no-19 23-limit temperament.		: 19-limit ketchup should be decanonicalized. Ketchup should be a no-19 23-limit temperament.
	: Proposed solution:		: Proposed solution: replace 19- and 23-limit ketchup with no-19 23-limit. Status: pending community reaction.

	; Leapday		; Leapday
Line 59:		Line 60:
	: 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).		: 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: done.		: Proposed solution: 11-, 13-, 17-, and 19-limit misty → murky, delete mystic (87 & 99e). Status: done.

			; 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: pending community reaction.

	; Pajara		; Pajara
Line 68:		Line 74:
	: 7-limit → 11-limit		: 7-limit → 11-limit
	: 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.		: 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.		: 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.		: 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: