Keenanismic temperaments - Revision history

FloraC: Text replacement - "rank-3 temperament" to "rank-3 temperament"

2026-06-08T08:36:25Z

Text replacement - "rank-3 temperament" to "rank-3 temperament"

← Older revision		Revision as of 08:36, 8 June 2026
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	{{Technical data page}}		{{Technical data page}}
	This is a collection of [[rank-3 ~~temperament\|rank-3]] [[regular temperament\|~~temperament]]s [[tempering out]] the keenanisma, [[385/384]]. For the [[rank-4]] keenanismic temperament, see [[Keenanismic family]].		This is a collection of [[rank-3 temperament]]s [[tempering out]] the keenanisma, [[385/384]]. For the [[rank-4]] keenanismic temperament, see [[Keenanismic family]].

	Temperaments discussed elsewhere include:		Temperaments discussed elsewhere include:

FloraC: Update the links

2025-12-13T12:17:20Z

Update the links

← Older revision		Revision as of 12:17, 13 December 2025
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	* [[Zeus]] (+121/120 or 176/175) → [[Porwell family #Zeus\|Porwell family]] and [[Biyatismic clan #Zeus\|Biyatismic clan]]		* [[Zeus]] (+121/120 or 176/175) → [[Porwell family #Zeus\|Porwell family]] and [[Biyatismic clan #Zeus\|Biyatismic clan]]
	* [[Starling]] (+126/125) → [[Starling family #Undecimal starling\|Starling family]]		* [[Starling]] (+126/125) → [[Starling family #Undecimal starling\|Starling family]]
	* [[Marvel]] (+225/224) → [[Marvel family #Undecimal marvel ~~(unimarv)~~\|Marvel family]]		* [[Marvel]] (+225/224) → [[Marvel family #Undecimal marvel\|Marvel family]]
	* ''[[Mirwomo]]'' (+243/242) → [[Rastmic rank-3 clan #Mirwomo\|Rastmic rank-3 clan]]		* ''[[Mirwomo]]'' (+243/242) → [[Rastmic rank-3 clan #Mirwomo\|Rastmic rank-3 clan]]
	* [[Sensamagic]] (+245/243) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]		* [[Sensamagic]] (+245/243) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]

FloraC: - redundant category

2025-11-27T15:28:41Z

- redundant category

← Older revision		Revision as of 15:28, 27 November 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:Keenanismic temperaments\| ]] <!-- main article -->		[[Category:Keenanismic temperaments\| ]] <!-- main article -->
	~~[[Category:Keenanismic\| ]] <!-- key article -->~~
	[[Category:Rank 3]]		[[Category:Rank 3]]

FloraC: - CTE tunings

2025-11-27T15:27:35Z

- CTE tunings

← Older revision		Revision as of 15:27, 27 November 2025
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	* [[CWE]]: ~99/70 = 600.0000{{c}}, ~16/11 = 650.8311{{c}}, ~5/4 = 385.1658{{c}}		* [[CWE]]: ~99/70 = 600.0000{{c}}, ~16/11 = 650.8311{{c}}, ~5/4 = 385.1658{{c}}
	: error map: {{val\| 0.000 -0.293 -1.148 -1.499 -2.149 }}		: error map: {{val\| 0.000 -0.293 -1.148 -1.499 -2.149 }}
	~~<!-- * [[CTE]]: ~99/70 = 600.0000{{c}}, ~16/11 = 651.1082{{c}}, ~5/4 = 385.5778{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}		{{Optimal ET sequence\|legend=1\| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}
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	* WE: ~99/70 = 600.2365{{c}}, ~16/11 = 651.0126{{c}}, ~5/4 = 385.1864{{c}}		* WE: ~99/70 = 600.2365{{c}}, ~16/11 = 651.0126{{c}}, ~5/4 = 385.1864{{c}}
	* CWE: ~99/70 = 600.0000{{c}}, ~16/11 = 650.8664{{c}}, ~5/4 = 385.1951{{c}}		* CWE: ~99/70 = 600.0000{{c}}, ~16/11 = 650.8664{{c}}, ~5/4 = 385.1951{{c}}
	~~<!-- * CTE: ~17/12 = 600.0000{{c}}, ~16/11 = 651.2344{{c}}, ~5/4 = 385.7289{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 22, 46, 68, 72, 118, 190g, 212g, 284g, 330eg, 402degg }}		{{Optimal ET sequence\|legend=0\| 22, 46, 68, 72, 118, 190g, 212g, 284g, 330eg, 402degg }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 166.0419{{c}}, ~5/4 = 384.3625{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 166.0419{{c}}, ~5/4 = 384.3625{{c}}
	: error map: {{val\| 0.000 -0.081 -1.951 -1.718 -0.914 }}		: error map: {{val\| 0.000 -0.081 -1.951 -1.718 -0.914 }}
	~~<!-- * [[CTE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.8258{{c}}, ~5/4 = 384.6711{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 15, 22, 37, 50, 65, 72, 159, 231, 253, 325c, 412cd, 484cd }}		{{Optimal ET sequence\|legend=1\| 15, 22, 37, 50, 65, 72, 159, 231, 253, 325c, 412cd, 484cd }}

FloraC: Switch to Sintel's badness, WE & CWE tunings, per community consensus

2025-11-27T15:27:08Z

Switch to Sintel's badness, WE & CWE tunings, per community consensus

← Older revision		Revision as of 15:27, 27 November 2025
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	: mapping generators: ~99/70, ~16/11, ~5		: mapping generators: ~99/70, ~16/11, ~5

	[[Optimal tuning]] ([[CTE]]): ~99/70 = 600.0000{{c}}, ~16/11 = 651.1082{{c}}, ~5/4 = 385.5778{{c}}		[[Optimal tuning]]s:
			* [[WE]]: ~99/70 = 600.2029{{c}}, ~16/11 = 650.9604{{c}}, ~5/4 = 385.1616{{c}}
			: [[error map]]: {{val\| +0.406 +0.169 -0.341 -0.498 -0.655 }}
			* [[CWE]]: ~99/70 = 600.0000{{c}}, ~16/11 = 650.8311{{c}}, ~5/4 = 385.1658{{c}}
			: error map: {{val\| 0.000 -0.293 -1.148 -1.499 -2.149 }}
			<!-- * [[CTE]]: ~99/70 = 600.0000{{c}}, ~16/11 = 651.1082{{c}}, ~5/4 = 385.5778{{c}} -->

	{{Optimal ET sequence\|legend=1\| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}		{{Optimal ET sequence\|legend=1\| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}

	[[Badness]] (~~Smith~~): 0.~~529 × 10<sup>-3</sup>~~		[[Badness]] (Sintel): 0.636

	=== 2.3.5.7.11.17 subgroup ===		=== 2.3.5.7.11.17 subgroup ===
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	Gencom mapping: {{mapping\| 2 1 0 7 8 0 6 \| 0 2 0 3 -1 0 2 \| 0 0 1 -1 0 0 0 }}		Gencom mapping: {{mapping\| 2 1 0 7 8 0 6 \| 0 2 0 3 -1 0 2 \| 0 0 1 -1 0 0 0 }}

	Optimal ~~tuning (~~CTE): ~17/12 = 600.0000{{c}}, ~16/11 = 651.2344{{c}}, ~5/4 = 385.7289{{c}}		Optimal tunings:
			* WE: ~99/70 = 600.2365{{c}}, ~16/11 = 651.0126{{c}}, ~5/4 = 385.1864{{c}}
			* CWE: ~99/70 = 600.0000{{c}}, ~16/11 = 650.8664{{c}}, ~5/4 = 385.1951{{c}}
			<!-- * CTE: ~17/12 = 600.0000{{c}}, ~16/11 = 651.2344{{c}}, ~5/4 = 385.7289{{c}} -->

	{{Optimal ET sequence\|legend=0\| 22, 46, 68, 72, 118, 190g, 212g, 284g, 330eg, 402degg }}		{{Optimal ET sequence\|legend=0\| 22, 46, 68, 72, 118, 190g, 212g, 284g, 330eg, 402degg }}

	Badness (~~Smith~~): 0.~~340 × 10<sup>-3</sup>~~		Badness (Sintel): 0.351

	== Tritiwiz ==		== Tritiwiz ==
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	: mapping generators: ~2, ~11/10, ~5		: mapping generators: ~2, ~11/10, ~5

	[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000{{c}}, ~11/10 = 165.8258{{c}}, ~5/4 = 384.6711{{c}}		[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1200.0000{{c}}, ~11/10 = 166.1752{{c}}, ~5/4 = 384.3796{{c}}
			: [[error map]]: {{val\| +0.400 +0.320 -1.133 -0.684 +0.438 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 166.0419{{c}}, ~5/4 = 384.3625{{c}}
			: error map: {{val\| 0.000 -0.081 -1.951 -1.718 -0.914 }}
			<!-- * [[CTE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.8258{{c}}, ~5/4 = 384.6711{{c}} -->

	{{Optimal ET sequence\|legend=1\| 15, 22, 37, 50, 65, 72, 159, 231, 253, 325c, 412cd, 484cd }}		{{Optimal ET sequence\|legend=1\| 15, 22, 37, 50, 65, 72, 159, 231, 253, 325c, 412cd, 484cd }}

	[[Badness]] (~~Smith~~): 0.~~732 × 10<sup>-3</sup>~~		[[Badness]] (Sintel): 0.879

	[[Category:Temperament collections]]		[[Category:Temperament collections]]

FloraC: Style

2025-11-27T15:18:10Z

Style

← Older revision		Revision as of 15:18, 27 November 2025
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	{{Technical data page}}		{{Technical data page}}
	This is a collection of [[rank-3 temperament\|rank-3]] [[temperament]]s [[tempering out]] the keenanisma, [[385/384]]. For the [[rank-4]] keenanismic temperament, see [[Keenanismic family]].		This is a collection of [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]]s [[tempering out]] the keenanisma, [[385/384]]. For the [[rank-4]] keenanismic temperament, see [[Keenanismic family]].

	Temperaments discussed elsewhere include:		Temperaments discussed elsewhere include:
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	* [[Sensamagic]] (+245/243) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]		* [[Sensamagic]] (+245/243) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]
	* [[Portent]] (+441/440) → [[Gamelismic family #Portent\|Gamelismic family]]		* [[Portent]] (+441/440) → [[Gamelismic family #Portent\|Gamelismic family]]
	* ''[[Diaschismic rank-3 family#Augustus\|Augustus]]'' (+1232/1215) → [[Diaschismic rank-3 family #Augustus\|Diaschismic rank-3 family]]		* ''[[Diaschismic rank-3 family #Augustus\|Augustus]]'' (+1232/1215) → [[Diaschismic rank-3 family #Augustus\|Diaschismic rank-3 family]]
	* ''[[Agni]]'' (+1375/1372) → [[Breed family #Agni\|Breed family]]		* ''[[Agni]]'' (+1375/1372) → [[Breed family #Agni\|Breed family]]
	* ''[[Akea]]'' (+2200/2187) → [[Hemifamity family #Akea\|Hemifamity family]]		* ''[[Akea]]'' (+2200/2187) → [[Hemifamity family #Akea\|Hemifamity family]]
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	* ''[[Enlil]]'' (+6250/6237) → [[Kleismic rank-3 family #Enlil\|Kleismic rank-3 family]]		* ''[[Enlil]]'' (+6250/6237) → [[Kleismic rank-3 family #Enlil\|Kleismic rank-3 family]]

	Considered below are ''uniwiz'' and ''tritiwiz''.		Considered below are uniwiz and tritiwiz.

	== Uniwiz ==		== Uniwiz ==

FloraC: Restore mapping generators. Cleanup

2025-11-27T15:13:14Z

Restore mapping generators. Cleanup

← Older revision		Revision as of 15:13, 27 November 2025
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	: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Uniwiz]].''		: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Uniwiz]].''

	Uniwiz tempers out ~~1500625/1492992 = {{monzo\| -11 -6 4 4 }} in the 7-limit, and~~ the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo\| -17 2 0 0 4 }}, in the 11-limit. The [[extension]] to the 2.3.5.7.11.17 [[subgroup]] tempers out two no-13's 17-limit [[PIFE comma]]s, [[561/560]] and [[595/594]], along with their product, [[289/288]], thus also equating the half-octave with 17/12~24/17. The [[S-expression]]-based comma list of this extension is {([[289/288\|S17]],) [[1089/1088\|S33]], [[1156/1155\|S34]], [[1225/1224\|S35 = S49*S50]](, [[9801/9800\|S99 = S33/S35]])}.		Uniwiz tempers out the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 ({{monzo\| -17 2 0 0 4 }}), in the 11-limit. The [[extension]] to the 2.3.5.7.11.17 [[subgroup]] tempers out two no-13's 17-limit [[PIFE comma]]s, [[561/560]] and [[595/594]], along with their product, [[289/288]], thus also equating the half-octave with [[17/12]][[~]][[24/17]]. The [[S-expression]]-based comma list of this extension is {([[289/288\|S17]]), [[1089/1088\|S33]], [[1156/1155\|S34]], [[1225/1224\|S35 = S49 × S50]], ([[9801/9800\|S99 = S33/S35]])}.

	It features the split of the whole tone into four equal parts, each representing [[36/35]]~[[35/34]]~[[34/33]]~[[33/32]]. Therefore, it is most interesting to those who would like to make extensive use of [[quartertone]]s. It can be viewed as the temperament described by the three quartertone-size equal temperaments: [[22edo\|22]], [[24edo\|24]] and [[26edo\|26]]. In the 11-limit it shares the [[optimal patent val]], [[284edo\|284]], with [[keenanismic]].		It features the split of the whole tone into four equal parts, each representing [[36/35]]~[[35/34]]~[[34/33]]~[[33/32]]. Therefore, it is most interesting to those who would like to make extensive use of [[quartertone]]s. It can be viewed as the temperament described by the three quartertone-size equal temperaments: [[22edo\|22]], [[24edo\|24]] and [[26edo\|26]]. In the 11-limit it shares the [[optimal patent val]], [[284edo\|284]], with [[keenanismic]].
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	{{Mapping\|legend=1\| 2 1 0 7 8 \| 0 2 0 3 -1 \| 0 0 1 -1 0 }}		{{Mapping\|legend=1\| 2 1 0 7 8 \| 0 2 0 3 -1 \| 0 0 1 -1 0 }}
			: mapping generators: ~99/70, ~16/11, ~5

	[[Optimal tuning]] ([[CTE]]): ~99/70 = ~~1\2~~, ~16/11 = 651.1082, ~5/4 = 385.5778		[[Optimal tuning]] ([[CTE]]): ~99/70 = 600.0000{{c}}, ~16/11 = 651.1082{{c}}, ~5/4 = 385.5778{{c}}

	{{Optimal ET sequence\|legend=1\| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}		{{Optimal ET sequence\|legend=1\| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}

	[[Badness]]: 0.529 × 10<sup>-3</sup>		[[Badness]] (Smith): 0.529 × 10<sup>-3</sup>

	=== 2.3.5.7.11.17 subgroup ===		=== 2.3.5.7.11.17 subgroup ===
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	Comma list: 289/288, 385/384, 561/560		Comma list: 289/288, 385/384, 561/560

	~~Sval~~ mapping: {{mapping\| 2 1 0 7 8 6 \| 0 2 0 3 -1 2 \| 0 0 1 -1 0 0 }}		Subgroup-val mapping: {{mapping\| 2 1 0 7 8 6 \| 0 2 0 3 -1 2 \| 0 0 1 -1 0 0 }}

	~~Optimal tuning (CTE)~~: ~~~17/12 =~~ 1\2~~, ~16/11 = 651.2344, ~5/4 = 385.7289~~		Gencom mapping: {{mapping\| 2 1 0 7 8 0 6 \| 0 2 0 3 -1 0 2 \| 0 0 1 -1 0 0 0 }}

	{{~~Optimal ET sequence\|legend~~=~~1\| 22~~, ~~46, 68, 72, 118, 190g, 212g, 284g, 330eg, 402degg~~ }}		Optimal tuning (CTE): ~17/12 = 600.0000{{c}}, ~16/11 = 651.2344{{c}}, ~5/4 = 385.7289{{c}}

	Badness: 0.340 × 10<sup>-3</sup>		{{Optimal ET sequence\|legend=0\| 22, 46, 68, 72, 118, 190g, 212g, 284g, 330eg, 402degg }}

			Badness (Smith): 0.340 × 10<sup>-3</sup>

	== Tritiwiz ==		== Tritiwiz ==
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	{{Mapping\|legend=1\| 1 2 0 8 1 \| 0 -3 0 -4 1 \| 0 0 1 -2 1 }}		{{Mapping\|legend=1\| 1 2 0 8 1 \| 0 -3 0 -4 1 \| 0 0 1 -2 1 }}

	: mapping generators: ~2, ~11/10, ~5		: mapping generators: ~2, ~11/10, ~5

	[[Optimal tuning]] ([[CTE]]): ~2 = ~~1\1~~, ~11/10 = 165.8258, ~5/4 = 384.6711		[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000{{c}}, ~11/10 = 165.8258{{c}}, ~5/4 = 384.6711{{c}}

	{{Optimal ET sequence\|legend=1\| 15, 22, 37, 50, 65, 72, 159, 231, 253, 325c, 412cd, 484cd }}		{{Optimal ET sequence\|legend=1\| 15, 22, 37, 50, 65, 72, 159, 231, 253, 325c, 412cd, 484cd }}

	[[Badness]]: 0.732 × 10<sup>-3</sup>		[[Badness]] (Smith): 0.732 × 10<sup>-3</sup>

	[[Category:Temperament collections]]		[[Category:Temperament collections]]

FloraC: Move the 7-limit parent to a dedicated collection page

2025-11-27T14:58:22Z

Move the 7-limit parent to a dedicated collection page

@@ Line 23: / Line 23: @@
 == Uniwiz ==
 Uniwiz tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. The [[extension]] to the 2.3.5.7.11.17 [[subgroup]] tempers out two no-13's 17-limit [[PIFE comma]]s, [[561/560]] and [[595/594]], along with their product, [[289/288]], thus also equating the half-octave with 17/12~24/17. The [[S-expression]]-based comma list of this extension is {([[289/288|S17]],) [[1089/1088|S33]], [[1156/1155|S34]], [[1225/1224|S35 = S49*S50]](, [[9801/9800|S99 = S33/S35]])}.
 It features the split of the whole tone into four equal parts, each representing [[36/35]]~[[35/34]]~[[34/33]]~[[33/32]]. Therefore, it is most interesting to those who would like to make extensive use of [[quartertone]]s. It can be viewed as the temperament described by the three quartertone-size equal temperaments: [[22edo|22]], [[24edo|24]] and [[26edo|26]]. In the 11-limit it shares the [[optimal patent val]], [[284edo|284]], with [[keenanismic]].
 [[Subgroup]]: 2.3.5.7.11

FloraC: Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

2025-11-27T12:28:23Z

Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

← Older revision		Revision as of 12:28, 27 November 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Keenanismic temperaments\| ]] <!-- main article -->		[[Category:Keenanismic temperaments\| ]] <!-- main article -->
	[[Category:Keenanismic\| ]] <!-- key article -->		[[Category:Keenanismic\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]

Overthink: Added akea in temperaments discussed elsewhere

2025-11-19T08:07:29Z

Added akea in temperaments discussed elsewhere

← Older revision		Revision as of 08:07, 19 November 2025
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	* ''[[Diaschismic rank-3 family#Augustus\|Augustus]]'' (+1232/1215) → [[Diaschismic rank-3 family #Augustus\|Diaschismic rank-3 family]]		* ''[[Diaschismic rank-3 family#Augustus\|Augustus]]'' (+1232/1215) → [[Diaschismic rank-3 family #Augustus\|Diaschismic rank-3 family]]
	* ''[[Agni]]'' (+1375/1372) → [[Breed family #Agni\|Breed family]]		* ''[[Agni]]'' (+1375/1372) → [[Breed family #Agni\|Breed family]]
			* ''[[Akea]]'' (+2200/2187) → [[Hemifamity family #Akea\|Hemifamity family]]
	* ''[[Zelda]]'' (+3388/3375) → [[Horwell family #Zelda\|Horwell family]]		* ''[[Zelda]]'' (+3388/3375) → [[Horwell family #Zelda\|Horwell family]]
	* ''[[Beyla]]'' (+4375/4374) → [[Ragismic family #Beyla\|Ragismic family]]		* ''[[Beyla]]'' (+4375/4374) → [[Ragismic family #Beyla\|Ragismic family]]

← Older revision		Revision as of 12:17, 13 December 2025
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	* [[Zeus]] (+121/120 or 176/175) → [[Porwell family #Zeus\|Porwell family]] and [[Biyatismic clan #Zeus\|Biyatismic clan]]		* [[Zeus]] (+121/120 or 176/175) → [[Porwell family #Zeus\|Porwell family]] and [[Biyatismic clan #Zeus\|Biyatismic clan]]
	* [[Starling]] (+126/125) → [[Starling family #Undecimal starling\|Starling family]]		* [[Starling]] (+126/125) → [[Starling family #Undecimal starling\|Starling family]]
	* [[Marvel]] (+225/224) → [[Marvel family #Undecimal marvel ~~(unimarv)~~\|Marvel family]]		* [[Marvel]] (+225/224) → [[Marvel family #Undecimal marvel\|Marvel family]]
	* ''[[Mirwomo]]'' (+243/242) → [[Rastmic rank-3 clan #Mirwomo\|Rastmic rank-3 clan]]		* ''[[Mirwomo]]'' (+243/242) → [[Rastmic rank-3 clan #Mirwomo\|Rastmic rank-3 clan]]
	* [[Sensamagic]] (+245/243) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]		* [[Sensamagic]] (+245/243) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]

← Older revision		Revision as of 08:07, 19 November 2025
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	* ''[[Diaschismic rank-3 family#Augustus\|Augustus]]'' (+1232/1215) → [[Diaschismic rank-3 family #Augustus\|Diaschismic rank-3 family]]		* ''[[Diaschismic rank-3 family#Augustus\|Augustus]]'' (+1232/1215) → [[Diaschismic rank-3 family #Augustus\|Diaschismic rank-3 family]]
	* ''[[Agni]]'' (+1375/1372) → [[Breed family #Agni\|Breed family]]		* ''[[Agni]]'' (+1375/1372) → [[Breed family #Agni\|Breed family]]
			* ''[[Akea]]'' (+2200/2187) → [[Hemifamity family #Akea\|Hemifamity family]]
	* ''[[Zelda]]'' (+3388/3375) → [[Horwell family #Zelda\|Horwell family]]		* ''[[Zelda]]'' (+3388/3375) → [[Horwell family #Zelda\|Horwell family]]
	* ''[[Beyla]]'' (+4375/4374) → [[Ragismic family #Beyla\|Ragismic family]]		* ''[[Beyla]]'' (+4375/4374) → [[Ragismic family #Beyla\|Ragismic family]]