Talk:Schismic–commatic equivalence continuum - Revision history

FloraC at 12:08, 24 April 2026

2026-04-24T12:08:13Z

← Older revision		Revision as of 12:08, 24 April 2026
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	:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)		:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)

			== 5-limit gracecordial ==
			This restriction should not be canonical as both 113 & 125 and 149 & 161 are viable extensions and the optimum is around 137edo. Now there are "biscordial" and "triscordial" (idk why the ''s''), I think the restriction of gracecordial can be called ''monocordial''. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:08, 24 April 2026 (UTC)

FloraC: FloraC moved page Talk:Schismic–Pythagorean equivalence continuum to Talk:Schismic–commatic equivalence continuum: Pythagorean is assumed so it conveys nothing. This is the continuum of the Pythagorean comma, so commatic is the word to use here.

2026-04-23T04:22:57Z

FloraC moved page Talk:Schismic–Pythagorean equivalence continuum to Talk:Schismic–commatic equivalence continuum: Pythagorean is assumed so it conveys nothing. This is the continuum of the Pythagorean comma, so *commatic* is the word to use here.

← Older revision	Revision as of 04:22, 23 April 2026
(No difference)

Hkm: Undo revision 187971 by Hkm (talk)

2025-03-24T04:06:22Z

Undo revision 187971 by Hkm (talk)

← Older revision		Revision as of 04:06, 24 March 2025
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	:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)		:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)

	~~== Merge ==~~

	~~This page and the page "List of edo-distinct 12f rank two temperaments" have duplicate content, and (as I mentioned on the XA Discord) should be merged.~~

Hkm: /* Merge */ new section

2025-03-23T22:05:31Z

Merge: new section

← Older revision		Revision as of 22:05, 23 March 2025
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	:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)		:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)

			== Merge ==

			This page and the page "List of edo-distinct 12f rank two temperaments" have duplicate content, and (as I mentioned on the XA Discord) should be merged.

ArrowHead294: ArrowHead294 moved page Talk:Schismic-Pythagorean equivalence continuum to Talk:Schismic–Pythagorean equivalence continuum: The dash in titles like these should be an en dash, not a hyphen-minus, since "Schismic" does not modify "Pythagorean"

2024-12-10T16:00:51Z

ArrowHead294 moved page Talk:Schismic-Pythagorean equivalence continuum to Talk:Schismic–Pythagorean equivalence continuum: The dash in titles like these should be an en dash, not a hyphen-minus, since "Schismic" does not modify "Pythagorean"

← Older revision	Revision as of 16:00, 10 December 2024
(No difference)

Lucius Chiaraviglio: /* Add option for Syntonic-Schismic equivalence continuum? */ Found the instructions for proper Strikeout -- used on typo

2024-07-31T05:06:14Z

Add option for Syntonic-Schismic equivalence continuum?: Found the instructions for proper Strikeout -- used on typo

← Older revision		Revision as of 05:06, 31 July 2024
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	== Add option for Syntonic-Schismic equivalence continuum? ==		== Add option for Syntonic-Schismic equivalence continuum? ==
	Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean ''(edit: typo -- meant to put Syntonic-Schismic or Schismic-Syntonic)'' equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>		Wouldn't it be good to have a k = n - 1 option to equate this to a <s>Syntonic-Pythagorean</s> ''(edit: typo -- meant to put Syntonic-Schismic or Schismic-Syntonic)'' equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>

	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

Lucius Chiaraviglio: /* Add option for Syntonic-Schismic equivalence continuum? */ The Pythagorean comma as a musical interval in its own right

2024-07-30T19:20:23Z

Add option for Syntonic-Schismic equivalence continuum?: The Pythagorean comma as a musical interval in its own right

← Older revision		Revision as of 19:20, 30 July 2024
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	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

			:: I can see what you're saying about the Pythagorean comma as a musical interval in its own right (basically a negative Diesis) for an extended Pythagorean tuning (or at least something REALLY CLOSE like 53EDO -- I don't think something not quite so close like 41EDO would be close enough). But for non-Pythagorean tunings and non-multiples of 12EDO, the Syntonic comma is far more likely to be relevant. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:20, 30 July 2024 (UTC)

	: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)		: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)

	:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)		:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)

Lucius Chiaraviglio: /* Add option for Syntonic-Pythagorean equivalence continuum? */ Fix BAD typo: Was Supposed to be Syntonic-Schismic or Schismic-Syntonic

2024-07-30T19:16:13Z

Add option for Syntonic-Pythagorean equivalence continuum?: Fix BAD typo: Was Supposed to be Syntonic-Schismic or Schismic-Syntonic

← Older revision		Revision as of 19:16, 30 July 2024
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	== Add option for Syntonic-~~Pythagorean~~ equivalence continuum? ==		== Add option for Syntonic-Schismic equivalence continuum? ==
	Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>		Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean ''(edit: typo -- meant to put Syntonic-Schismic or Schismic-Syntonic)'' equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>

	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

	: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)		: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)

			:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)

FloraC: re

2024-07-09T12:10:56Z

← Older revision		Revision as of 12:10, 9 July 2024
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	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

			: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)

Aura at 14:37, 8 July 2024

2024-07-08T14:37:43Z

← Older revision		Revision as of 14:37, 8 July 2024
Line 2:		Line 2:
	Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>		Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>

	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

← Older revision		Revision as of 19:20, 30 July 2024
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	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

			:: I can see what you're saying about the Pythagorean comma as a musical interval in its own right (basically a negative Diesis) for an extended Pythagorean tuning (or at least something REALLY CLOSE like 53EDO -- I don't think something not quite so close like 41EDO would be close enough). But for non-Pythagorean tunings and non-multiples of 12EDO, the Syntonic comma is far more likely to be relevant. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:20, 30 July 2024 (UTC)

	: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)		: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)

	:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)		:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)

← Older revision		Revision as of 19:16, 30 July 2024
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	== Add option for Syntonic-~~Pythagorean~~ equivalence continuum? ==		== Add option for Syntonic-Schismic equivalence continuum? ==
	Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>		Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean ''(edit: typo -- meant to put Syntonic-Schismic or Schismic-Syntonic)'' equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>

	: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)		: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 14:36, 8 July 2024 (UTC)

	: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)		: Syntonic-commatic/Pythagorean is not ''k'' = ''n'' - 1 but ''m'' s.t. 1/''m'' + 1/''n'' = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that ''k'' = ''n'' - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into ''n'' or ''m'' parts. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:10, 9 July 2024 (UTC)

			:: Oops, typo. You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic. Fixing this in the title and in my original comment. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:16, 30 July 2024 (UTC)