Rastmic rank-3 clan - Revision history

FloraC: Move rabic here

2026-05-15T11:04:12Z

Move rabic here

@@ Line 5: / Line 5: @@
 * [[Jove]] (+441/440 or 540/539) → [[Breed family #Jove|Breed family]]
 * ''[[Hagrid]]'' (+9801/9800) → [[Cataharry family #Hagrid|Cataharry family]]
-Considered below are spectacle, mirwomo, mandos, cuckoo, parahemif, urania, and mirage.
+Considered below are spectacle, mirwomo, mandos, cuckoo, parahemif, urania, rabic, and mirage.
 == Spectacle ==
@@ Line 216: / Line 215: @@
 Scales: [[urania24]]
 == Mirage ==

FloraC: - redundant category

2026-03-22T14:26:18Z

- redundant category

← Older revision		Revision as of 14:26, 22 March 2026
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:Rastmic rank-3 clan\| ]] <!-- main article -->		[[Category:Rastmic rank-3 clan\| ]] <!-- main article -->
	~~[[Category:Rastmic\| ]] <!-- key article -->~~
	[[Category:Rank 3]]		[[Category:Rank 3]]

Squib: /* 19-limit */

2026-03-19T01:28:18Z

19-limit

← Older revision		Revision as of 01:28, 19 March 2026
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	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

	Comma list: 210/209, 225/224, 243/242, 273/272, ~~385~~/~~384~~		Comma list: 210/209, 225/224, 243/242, 273/272, 343/342

	{{Todo\|complete temperament data\|inline=1}}		{{Todo\|complete temperament data\|inline=1}}

Squib: /* 17-limit */

2026-03-19T00:57:10Z

17-limit

← Older revision		Revision as of 00:57, 19 March 2026
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	=== 17-limit ===		=== 17-limit ===
	Mirage is very naturally a 17-limit temperament, relating 13 and 17 by tempering out [[273/272]], [[715/714]], [[833/832]], and [[936/935]]. Instead of 13/8, the second generator can also be the small comma ~~representing 105/104~120/119~144/143~154/153~189/187~196/195. (Tempering this comma~~ out ~~gives~~ [[miraculous]].)		Mirage is very naturally a 17-limit temperament, relating 13 and 17 by tempering out [[273/272]], [[715/714]], [[833/832]], and [[936/935]]. Instead of 13/8, the second generator can also be the small comma tempered out by [[miraculous]].

	Subgroup: 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.17

Squib: /* Mirage */added comma list

2026-03-19T00:46:04Z

Mirage: added comma list

← Older revision		Revision as of 00:46, 19 March 2026
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	=== 17-limit ===		=== 17-limit ===
			Mirage is very naturally a 17-limit temperament, relating 13 and 17 by tempering out [[273/272]], [[715/714]], [[833/832]], and [[936/935]]. Instead of 13/8, the second generator can also be the small comma representing 105/104~120/119~144/143~154/153~189/187~196/195. (Tempering this comma out gives [[miraculous]].)

	Subgroup: 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.17

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	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

	Comma list: 225/224, 243/242, 273/272, 385/384~~, 400/399~~		Comma list: 210/209, 225/224, 243/242, 273/272, 385/384

	{{Todo\|complete temperament data\|inline=1}}		{{Todo\|complete temperament data\|inline=1}}
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	Subgroup: 2.3.5.7.11.13.17.19.23		Subgroup: 2.3.5.7.11.13.17.19.23

	Comma list: 225/224, 243/242, 273/272, 300/299, 385/384~~, 400/399~~		Comma list: 210/209, 225/224, 243/242, 273/272, 300/299, 385/384

	{{Todo\|complete temperament data\|inline=1}}		{{Todo\|complete temperament data\|inline=1}}
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	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

			Comma list: 225/224, 243/242, 273/272, 324/323, 385/384

	{{Todo\|complete temperament data\|inline=1}}		{{Todo\|complete temperament data\|inline=1}}

	==== 23-limit ====		=== Prism 23-limit ===
	Subgroup: 2.3.5.7.11.13.17.19.23		Subgroup: 2.3.5.7.11.13.17.19.23

			Comma list: 225/224, 243/242, 273/272, 300/299, 324/323, 385/384

			{{Todo\|complete temperament data\|inline=1}}

			=== No-19 23-limit ===
			Subgroup: 2.3.5.7.11.13.17.23

			Comma list: 225/224, 243/242, 273/272, 300/299, 385/384

	{{Todo\|complete temperament data\|inline=1}}		{{Todo\|complete temperament data\|inline=1}}

FloraC: /* Mirage */ redirect notice

2026-03-08T08:52:55Z

Mirage: redirect notice

← Older revision		Revision as of 08:52, 8 March 2026
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	=== Prism ===		=== Prism ===
			{{Redirect\|Prism\|the scale\|Prism (scale)}}

	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

Squib: /* Mirage */ +prism (alternate 19-limit extension)

2026-03-08T02:05:20Z

Mirage: +prism (alternate 19-limit extension)

← Older revision		Revision as of 02:05, 8 March 2026
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	Comma list: 225/224, 243/242, 273/272, 300/299, 385/384, 400/399		Comma list: 225/224, 243/242, 273/272, 300/299, 385/384, 400/399

			{{Todo\|complete temperament data\|inline=1}}

			=== Prism ===
			Subgroup: 2.3.5.7.11.13.17.19

			{{Todo\|complete temperament data\|inline=1}}

			==== 23-limit ====
			Subgroup: 2.3.5.7.11.13.17.19.23

	{{Todo\|complete temperament data\|inline=1}}		{{Todo\|complete temperament data\|inline=1}}

Squib: /* Mirage */add todo

2026-02-20T23:44:00Z

Mirage: add todo

← Older revision		Revision as of 23:44, 20 February 2026
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	Comma list: 225/224, 243/242, 273/272, 385/384, 400/399		Comma list: 225/224, 243/242, 273/272, 385/384, 400/399

			{{Todo\|complete temperament data\|inline=1}}

	=== 23-limit ===		=== 23-limit ===
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	Comma list: 225/224, 243/242, 273/272, 300/299, 385/384, 400/399		Comma list: 225/224, 243/242, 273/272, 300/299, 385/384, 400/399

			{{Todo\|complete temperament data\|inline=1}}

	== References ==		== References ==

Squib: /* Mirage */ added 19- and 23-limit extensions, still need technical data. i have not found any competing extensions

2026-02-19T20:45:46Z

Mirage: added 19- and 23-limit extensions, still need technical data. i have not found any competing extensions

← Older revision		Revision as of 20:45, 19 February 2026
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	== Mirage ==		== Mirage ==
	Mirage is [[miracle]] with an independent generator for prime 13.		Mirage is [[miracle]] with an independent generator for prime 13.

	[[Subgroup]]: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13
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	Badness (Sintel): 0.715		Badness (Sintel): 0.715

			=== 19-limit ===
			Subgroup: 2.3.5.7.11.13.17.19

			Comma list: 225/224, 243/242, 273/272, 385/384, 400/399

			=== 23-limit ===
			Subgroup: 2.3.5.7.11.13.17.19.23

			Comma list: 225/224, 243/242, 273/272, 300/299, 385/384, 400/399

	== References ==		== References ==

FloraC: Restore mapping generators. - typo

2025-11-27T15:03:16Z

Restore mapping generators. - typo

← Older revision		Revision as of 15:03, 27 November 2025
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	{{Mapping\|legend=1\| 1 1 0 -3 2 \| 0 2 0 4 5 \| 0 0 1 2 0 }}		{{Mapping\|legend=1\| 1 1 0 -3 2 \| 0 2 0 4 5 \| 0 0 1 2 0 }}

	: mapping generators: ~2, ~11/9, ~5		: mapping generators: ~2, ~11/9, ~5

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	{{Mapping\|legend=1\| 1 1 0 6 2 \| 0 2 0 -3 5 \| 0 0 1 -1 0 }}		{{Mapping\|legend=1\| 1 1 0 6 2 \| 0 2 0 -3 5 \| 0 0 1 -1 0 }}
			: mapping generators: ~2, ~11/9, ~5

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 1 1 0 6 2 \| 0 2 0 5 5 \| 0 0 1 -2 0 }}		{{Mapping\|legend=1\| 1 1 0 6 2 \| 0 2 0 5 5 \| 0 0 1 -2 0 }}

	: mapping generators: ~2, ~11/9, ~5		: mapping generators: ~2, ~11/9, ~5

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	{{Mapping\|legend=1\| 1 1 0 -3 2 \| 0 2 0 -4 5 \| 0 0 1 3 0 }}		{{Mapping\|legend=1\| 1 1 0 -3 2 \| 0 2 0 -4 5 \| 0 0 1 3 0 }}

	: mapping generators: ~2, ~11/9, ~5		: mapping generators: ~2, ~11/9, ~5

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	{{Mapping\|legend=1\| 1 1 0 -1 2 \| 0 2 0 13 5 \| 0 0 1 0 0 }}		{{Mapping\|legend=1\| 1 1 0 -1 2 \| 0 2 0 13 5 \| 0 0 1 0 0 }}
			: mapping generators: ~2, ~11/9, ~5

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 1 1 0 0 2 \| 0 2 8 0 5 \| 0 0 0 1 0 }}		{{Mapping\|legend=1\| 1 1 0 0 2 \| 0 2 8 0 5 \| 0 0 0 1 0 }}

	: mapping generators: ~2, ~11/9, ~7		: mapping generators: ~2, ~11/9, ~7

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	{{Mapping\|legend=1\| 1 1 3 3 2 0 \| 0 6 -7 -2 15 0 \| 0 0 0 0 0 1 }}		{{Mapping\|legend=1\| 1 1 3 3 2 0 \| 0 6 -7 -2 15 0 \| 0 0 0 0 0 1 }}

	: mapping generators: ~2, ~15/14, ~13		: mapping generators: ~2, ~15/14, ~13

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[WE]]: ~2 = 1200.7626{{c}}, ~15/4 = 116.7069{{c}}, ~13/8 = 838.2364{{c}}		* [[WE]]: ~2 = 1200.7626{{c}}, ~15/14 = 116.7069{{c}}, ~13/8 = 838.2364{{c}}
	: [[error map]]: {{val\| +0.763 -0.951 -0.974 +0.048 +0.810 -0.004 }}		: [[error map]]: {{val\| +0.763 -0.951 -0.974 +0.048 +0.810 -0.004 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~15/14 = 116.6469{{c}}, ~13/8 = 838.2123{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~15/14 = 116.6469{{c}}, ~13/8 = 838.2123{{c}}