The Nexus - Revision history

VectorGraphics at 04:41, 12 June 2025

2025-06-12T04:41:12Z

← Older revision		Revision as of 04:41, 12 June 2025
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	Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1		Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1

	~~{{Multival\|legend=1\|rank=4\| 6 0 0 3 -16 }}~~

	[[POTE generator]]s: ~1331/768 = 950.9518 or ~12/11 = 150.9518, ~5/4 = 386.2068, ~7/4 = 968.6966		[[POTE generator]]s: ~1331/768 = 950.9518 or ~12/11 = 150.9518, ~5/4 = 386.2068, ~7/4 = 968.6966
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	[[Mapping]]: [{{val\| 3 0 45 0 8 }}, {{val\| 0 2 -16 0 1 }}, {{val\| 0 0 0 1 0 }}]		[[Mapping]]: [{{val\| 3 0 45 0 8 }}, {{val\| 0 2 -16 0 1 }}, {{val\| 0 0 0 1 0 }}]

	~~{{Multival\|legend=1\|rank=3\| 0 6 0 -48 0 -3 -90 0 16 -173 }}~~

	[[POTE generator]]s: ~1331/768 = 950.8701, ~7/4 = 968.5689		[[POTE generator]]s: ~1331/768 = 950.8701, ~7/4 = 968.5689
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	[[Mapping]]: [{{val\| 3 0 0 -32 8 }}, {{val\| 0 2 0 17 1 }}, {{val\| 0 0 1 0 0 }}]		[[Mapping]]: [{{val\| 3 0 0 -32 8 }}, {{val\| 0 2 0 17 1 }}, {{val\| 0 0 1 0 0 }}]

	~~{{Multival\|legend=1\|rank=3\| 6 0 0 -51 -3 0 -64 16 0 -168 }}~~

	[[POTE generator]]s: ~1331/768 = 951.1077, ~5/4 = 386.3748		[[POTE generator]]s: ~1331/768 = 951.1077, ~5/4 = 386.3748

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:45:49Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

← Older revision		Revision as of 13:45, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	'''The Nexus''' is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the [[nexus comma]] – the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\|-16 -3 0 0 6}}. Among the known branches of this collection are nexus, schisnex, nexiquart, altinex, and tribilo.		'''The Nexus''' is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the [[nexus comma]] – the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\|-16 -3 0 0 6}}. Among the known branches of this collection are nexus, schisnex, nexiquart, altinex, and tribilo.

BudjarnLambeth: {{Technical data page}}

2025-04-13T10:38:09Z

{{Technical data page}}<br><br>

← Older revision		Revision as of 10:38, 13 April 2025
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			{{Technical data page}}<br><br>
	'''The Nexus''' is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the [[nexus comma]] – the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\|-16 -3 0 0 6}}. Among the known branches of this collection are nexus, schisnex, nexiquart, altinex, and tribilo.		'''The Nexus''' is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the [[nexus comma]] – the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\|-16 -3 0 0 6}}. Among the known branches of this collection are nexus, schisnex, nexiquart, altinex, and tribilo.

BudjarnLambeth: /* Rank-4 temperaments */

2024-02-24T06:06:10Z

Rank-4 temperaments

← Older revision		Revision as of 06:06, 24 February 2024
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	== Rank-4 temperaments ==		== Rank-4 temperaments ==
	{{main\| Nexus family }}		{{main\| Nexus family }}


	The parent temperament of this whole collection is a rank-4 temperament. However, there are other rank-4 extensions which have yet to be explored.		The parent temperament of this whole collection is a rank-4 temperament. However, there are other rank-4 extensions which have yet to be explored.

BudjarnLambeth: /* Rank-4 temperaments */

2024-02-24T06:06:02Z

Rank-4 temperaments

← Older revision		Revision as of 06:06, 24 February 2024
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	== Rank-4 temperaments ==		== Rank-4 temperaments ==
			{{main\| Nexus family }}


	The parent temperament of this whole collection is a rank-4 temperament. However, there are other rank-4 extensions which have yet to be explored.		The parent temperament of this whole collection is a rank-4 temperament. However, there are other rank-4 extensions which have yet to be explored.
	~~{{main\| Nexus family }}~~

	=== Nexus ===		=== Nexus ===

BudjarnLambeth: Made heading style consistent with the rest of the wiki

2024-02-24T06:05:36Z

Made heading style consistent with the rest of the wiki

← Older revision		Revision as of 06:05, 24 February 2024
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	Because the nexus comma is the difference between (121/96)<sup>3</sup> and 2/1, all nexus temperaments divide 2/1 into three equal parts of (approximately) 400 cents.		Because the nexus comma is the difference between (121/96)<sup>3</sup> and 2/1, all nexus temperaments divide 2/1 into three equal parts of (approximately) 400 cents.

	= Rank-4 temperaments =		== Rank-4 temperaments ==
	The parent temperament of this whole collection is a rank-4 temperament. However, there are other rank-4 extensions which have yet to be explored.		The parent temperament of this whole collection is a rank-4 temperament. However, there are other rank-4 extensions which have yet to be explored.
			{{main\| Nexus family }}

	== Nexus ==		=== Nexus ===
	~~{{main\| Nexus family }}~~

	The parent temperament for the Nexus is Nexus temperament itself. In this temperament, the 5-limit and 7-limit parts are represented by independent generators.		The parent temperament for the Nexus is Nexus temperament itself. In this temperament, the 5-limit and 7-limit parts are represented by independent generators.
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	[[Badness]]: 0.588 × 10<sup>-6</sup>		[[Badness]]: 0.588 × 10<sup>-6</sup>

	= Rank-3 temperaments =		== Rank-3 temperaments ==
	From the rank-4 parent temperament, there are several rank-3 temperaments that can be derived.		From the rank-4 parent temperament, there are several rank-3 temperaments that can be derived.

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	* ''[[Tyr]]'', {3025/3024, 102487/102400} → [[Lehmerismic temperaments #Tyr]]		* ''[[Tyr]]'', {3025/3024, 102487/102400} → [[Lehmerismic temperaments #Tyr]]

	== Schisnex ==		=== Schisnex ===
	This temperament adds the [[schisma]] to the list of tempered out commas on account of the schisma being an unnoticeable comma for adding the 5-limit to the mix.		This temperament adds the [[schisma]] to the list of tempered out commas on account of the schisma being an unnoticeable comma for adding the 5-limit to the mix.

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	[[Badness]]: 5.155 × 10<sup>-3</sup>		[[Badness]]: 5.155 × 10<sup>-3</sup>

	== Nexiquart ==		=== Nexiquart ===
	This temperament can be seen as adding the [[quartisma]] to the list of tempered out commas on account of the quartisma being an unnoticeable comma for adding the 7-limit to the mix.		This temperament can be seen as adding the [[quartisma]] to the list of tempered out commas on account of the quartisma being an unnoticeable comma for adding the 7-limit to the mix.

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	[[Badness]]: 6.275 × 10<sup>-3</sup>		[[Badness]]: 6.275 × 10<sup>-3</sup>

	= Rank-2 temperaments =		== Rank-2 temperaments ==
	Rank-2 temperaments in the Nexus include [[Ragismic microtemperaments #Hemiennealimmal\|hemiennealimmal]], [[Misty family #Hemimist\|hemimist]], [[Schismatic family #Hemiterm\|hemiterm]], [[Schismatic family #Altinex\|altinex]], [[Mirkwai clan #Mirkat\|mirkat]], [[Kleismic family #Tritikleismic\|tritikleismic]], [[Landscape microtemperaments #Terture\|terture]], and [[Landscape microtemperaments #Avicenna\|avicenna]].		Rank-2 temperaments in the Nexus include [[Ragismic microtemperaments #Hemiennealimmal\|hemiennealimmal]], [[Misty family #Hemimist\|hemimist]], [[Schismatic family #Hemiterm\|hemiterm]], [[Schismatic family #Altinex\|altinex]], [[Mirkwai clan #Mirkat\|mirkat]], [[Kleismic family #Tritikleismic\|tritikleismic]], [[Landscape microtemperaments #Terture\|terture]], and [[Landscape microtemperaments #Avicenna\|avicenna]].

	Considered below is the 2.3.11 subgroup temperament tribilo.		Considered below is the 2.3.11 subgroup temperament tribilo.

	== Tribilo ==		=== Tribilo ===
	{{Main\| Nexus clan }}		{{Main\| Nexus clan }}

Aura at 18:44, 17 June 2023

2023-06-17T18:44:07Z

← Older revision		Revision as of 18:44, 17 June 2023
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	== Tribilo ==		== Tribilo ==
	{{Main\| ~~Tribilo family~~ }}		{{Main\| Nexus clan }}

	Tribilo is the pure Rank-2 2.3.11 temperament that tempers out the nexus comma – its name comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].		Tribilo is the pure Rank-2 2.3.11 temperament that tempers out the nexus comma – its name comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:35:54Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

FloraC: /* Rank-2 temperaments */ -altinex

2022-09-30T03:40:15Z

Rank-2 temperaments: -altinex

@@ Line 68: / Line 68: @@
 = Rank-2 temperaments =
-Rank-2 temperaments in the Nexus include [[Ragismic microtemperaments #Hemiennealimmal|hemiennealimmal]], [[Misty family #Hemimist|hemimist]], [[Schismatic family #Hemiterm|hemiterm]], [[Mirkwai clan #Mirkat|mirkat]], [[Kleismic family #Tritikleismic|tritikleismic]], [[Landscape microtemperaments #Terture|terture]], and [[Landscape microtemperaments #Avicenna|avicenna]].
+Rank-2 temperaments in the Nexus include [[Ragismic microtemperaments #Hemiennealimmal|hemiennealimmal]], [[Misty family #Hemimist|hemimist]], [[Schismatic family #Hemiterm|hemiterm]], [[Schismatic family #Altinex|altinex]], [[Mirkwai clan #Mirkat|mirkat]], [[Kleismic family #Tritikleismic|tritikleismic]], [[Landscape microtemperaments #Terture|terture]], and [[Landscape microtemperaments #Avicenna|avicenna]].
-Considered below are ''altinex'' and the 2.3.11 subgroup temperament tribilo.
+Considered below is the 2.3.11 subgroup temperament tribilo.
 == Tribilo ==

Fredg999 category edits: Moving from Category:Commatic realm to Category:Commatic realms using Cat-a-lot

2022-03-02T22:21:58Z

Moving from Category:Commatic realm to Category:Commatic realms using Cat-a-lot

← Older revision		Revision as of 22:21, 2 March 2022
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	Badness:		Badness:

	[[Category:Commatic ~~realm~~]]		[[Category:Commatic realms]]
	[[Category:The Nexus\| ]] <!-- main article -->		[[Category:The Nexus\| ]] <!-- main article -->
	[[Category:Nexus]]		[[Category:Nexus]]

← Older revision		Revision as of 18:35, 7 May 2023
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	[[POTE generator]]s: ~1331/768 = 950.9518 or ~12/11 = 150.9518, ~5/4 = 386.2068, ~7/4 = 968.6966		[[POTE generator]]s: ~1331/768 = 950.9518 or ~12/11 = 150.9518, ~5/4 = 386.2068, ~7/4 = 968.6966

	{{~~Val list~~\|legend=1\| 9, 15, 24, 33cd, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566, 2091e, 2361e, 2433e, 2703e, 3045e, 3315ee, 3657ee }}		{{Optimal ET sequence\|legend=1\| 9, 15, 24, 33cd, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566, 2091e, 2361e, 2433e, 2703e, 3045e, 3315ee, 3657ee }}

	[[Badness]]: 0.588 × 10<sup>-6</sup>		[[Badness]]: 0.588 × 10<sup>-6</sup>
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	[[POTE generator]]s: ~1331/768 = 950.8701, ~7/4 = 968.5689		[[POTE generator]]s: ~1331/768 = 950.8701, ~7/4 = 968.5689

	{{~~Val list~~\|legend=1\| 24, 48c, 111cd, 135, 159, 183, 342, 1209, 1551e, 1893e, 2235ce }}		{{Optimal ET sequence\|legend=1\| 24, 48c, 111cd, 135, 159, 183, 342, 1209, 1551e, 1893e, 2235ce }}

	[[Badness]]: 5.155 × 10<sup>-3</sup>		[[Badness]]: 5.155 × 10<sup>-3</sup>
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	[[POTE generator]]s: ~1331/768 = 951.1077, ~5/4 = 386.3748		[[POTE generator]]s: ~1331/768 = 951.1077, ~5/4 = 386.3748

	{{~~Val list~~\|legend=1\| 24, 48d, 87d, 111, 159, 246, 270, 1215, 1485, 1755, 2025, 2295b }}		{{Optimal ET sequence\|legend=1\| 24, 48d, 87d, 111, 159, 246, 270, 1215, 1485, 1755, 2025, 2295b }}

	[[Badness]]: 6.275 × 10<sup>-3</sup>		[[Badness]]: 6.275 × 10<sup>-3</sup>
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	[[POTE generator]]: ~1331/768 = 950.9518		[[POTE generator]]: ~1331/768 = 950.9518

	{{~~Val list~~\|legend=1\| 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e }}		{{Optimal ET sequence\|legend=1\| 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e }}

	Badness:		Badness:

The Nexus - Revision history

VectorGraphics at 04:41, 12 June 2025

FloraC: Text replacement - "{{Technical data page}}" to "{{Technical data page}}"

BudjarnLambeth: {{Technical data page}}

BudjarnLambeth: /* Rank-4 temperaments */

BudjarnLambeth: /* Rank-4 temperaments */

BudjarnLambeth: Made heading style consistent with the rest of the wiki

Aura at 18:44, 17 June 2023

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

FloraC: /* Rank-2 temperaments */ -altinex

Fredg999 category edits: Moving from Category:Commatic realm to Category:Commatic realms using Cat-a-lot

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"