Nexus clan - Revision history

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

2025-11-27T12:25:02Z

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

← Older revision		Revision as of 12:25, 27 November 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Nexus clan\| ]] <!-- main article -->		[[Category:Nexus clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Lériendil: Text replacement - "Category:Temperament clans" to "Category:Temperament clans Category:Pages with mostly numerical content"

2025-06-24T00:36:53Z

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

← Older revision		Revision as of 00:36, 24 June 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Nexus clan\| ]] <!-- main article -->		[[Category:Nexus clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:25:24Z

← Older revision		Revision as of 14:25, 13 April 2025
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			{{Technical data page}}
	The '''nexus clan''', also known as the '''tribilo clan''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].		The '''nexus clan''', also known as the '''tribilo clan''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

Aura at 18:43, 17 June 2023

2023-06-17T18:43:33Z

← Older revision		Revision as of 18:43, 17 June 2023
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	The '''nexus clan''', ~~a.k.a.~~ '''tribilo clan''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].		The '''nexus clan''', also known as the '''tribilo clan''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

	== Tribilo ==		== Tribilo ==

Aura at 18:43, 17 June 2023

2023-06-17T18:43:15Z

← Older revision		Revision as of 18:43, 17 June 2023
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	The '''nexus clan''', a.k.a. '''tribilo ~~family~~''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other ~~families~~ that are defined by the tempering of the nexus comma, see [[the Nexus]]. The ''tribilo ~~family~~'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].		The '''nexus clan''', a.k.a. '''tribilo clan''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

	== Tribilo ==		== Tribilo ==

FloraC: Clarify that this is a clan; update keys

2023-06-17T07:02:55Z

Clarify that this is a clan; update keys

← Older revision		Revision as of 07:02, 17 June 2023
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	The '''tribilo family''' is a ~~family~~ of rank-2 ~~temperaments~~ in the 2.3.11 subgroup that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}, however, most of the members of this rank-2 ~~family~~ currently have yet to be explored. For other families that are defined by the tempering of the nexus comma, see [[the Nexus]]. ~~This~~ family'~~s name~~ comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].		The '''nexus clan''', a.k.a. '''tribilo family''', is a [[Temperament families and clans\|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo\| -16 -3 0 0 6 }}; however, most of the members of this rank-2 clan currently have yet to be explored. For other families that are defined by the tempering of the nexus comma, see [[the Nexus]]. The ''tribilo family'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

	== Tribilo ==		== Tribilo ==
	This is the parent temperament of the ~~tribilo family~~.		This is the parent temperament of the nexus clan.

	Subgroup: 2.3.11		[[Subgroup]]: 2.3.11

	[[Comma list]]: 1771561/1769472		[[Comma list]]: 1771561/1769472

	~~[[Sval]] [[mapping]]: [~~{{~~val~~\| 3 0 8 ~~}}, {{val~~\| 0 2 1 }}]		{{Mapping\|legend=2\| 3 0 8 \| 0 2 1 }}

	~~Sval~~ mapping generators: ~121/96, ~1331/768		: sval mapping generators: ~121/96, ~1331/768

	[[POTE ~~generator~~]]: ~1331/768 = 950.9518 (or ~12/11 = 150.9518)		[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 950.9518 (or ~12/11 = 150.9518)

	{{Optimal ET sequence\|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 }}
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	[[Badness]]: 2.44 × 10<sup>-3</sup>		[[Badness]]: 2.44 × 10<sup>-3</sup>

	=== Triblet ===		== Triblet ==
	Subgroup: 2.3.11.13		[[Subgroup]]: 2.3.11.13

	Comma list: 352/351, 1771561/1769472		[[Comma list]]: 352/351, 1771561/1769472

	~~Sval mapping: [~~{{~~val~~\| 3 0 8 23 ~~}}, {{val~~\| 0 2 1 -5 }}]		{{Mapping\|legend=2\| 3 0 8 23 \| 0 2 1 -5 }}

	POTE ~~generator~~: ~1331/768 = 951.4814		[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 951.4814

	{{Optimal ET sequence\|legend=1\| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}		{{Optimal ET sequence\|legend=1\| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}

	Badness: 2.70 × 10<sup>-3</sup>		[[Badness]]: 2.70 × 10<sup>-3</sup>

	=== Trilobite ===		== Trilobite ==
			[[Subgroup]]: 2.3.11.13

	~~Subgroup~~: ~~2.3.11.13~~		[[Comma list]]: 85293/85184, 1771561/1769472

	~~Comma list: 85293/85184, 1771561/1769472~~		{{Mapping\|legend=2\| 3 0 8 42 \| 0 2 1 -13 }}

	~~Sval mapping:~~ [~~{{val\| 3 0 8 42 }}, {{val\| 0 2 1 -13 }}~~]		[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 950.7810

	POTE ~~generator~~: ~1331/768 = 950.7810

	{{Optimal ET sequence\|legend=1\| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}		{{Optimal ET sequence\|legend=1\| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}

	Badness: 1.65 × 10<sup>-3</sup>		[[Badness]]: 1.65 × 10<sup>-3</sup>

	[[Category:Temperament ~~families~~]]		[[Category:Temperament clans]]
			[[Category:Nexus clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: FloraC moved page Tribilo family to Nexus clan: Minimal subgroup is 2.3.11 so "nexus clan" should be fine

2023-06-17T06:55:57Z

FloraC moved page Tribilo family to Nexus clan: Minimal subgroup is 2.3.11 so "nexus clan" should be fine

← Older revision	Revision as of 06:55, 17 June 2023
(No difference)

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

2023-05-07T16:29:56Z

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

← Older revision		Revision as of 16:29, 7 May 2023
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	[[POTE generator]]: ~1331/768 = 950.9518 (or ~12/11 = 150.9518)		[[POTE generator]]: ~1331/768 = 950.9518 (or ~12/11 = 150.9518)

	{{~~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]]: 2.44 × 10<sup>-3</sup>		[[Badness]]: 2.44 × 10<sup>-3</sup>
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	POTE generator: ~1331/768 = 951.4814		POTE generator: ~1331/768 = 951.4814

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}		{{Optimal ET sequence\|legend=1\| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}

	Badness: 2.70 × 10<sup>-3</sup>		Badness: 2.70 × 10<sup>-3</sup>
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	POTE generator: ~1331/768 = 950.7810		POTE generator: ~1331/768 = 950.7810

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}		{{Optimal ET sequence\|legend=1\| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}

	Badness: 1.65 × 10<sup>-3</sup>		Badness: 1.65 × 10<sup>-3</sup>

Fredg999 category edits: Moving from Category:Regular temperament theory to Category:Temperament families using Cat-a-lot

2022-03-02T22:19:13Z

Moving from Category:Regular temperament theory to Category:Temperament families using Cat-a-lot

← Older revision		Revision as of 22:19, 2 March 2022
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	Badness: 1.65 × 10<sup>-3</sup>		Badness: 1.65 × 10<sup>-3</sup>

	[[Category:~~Regular temperament theory~~]]		[[Category:Temperament families]]
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: Categories

2022-02-26T20:48:54Z

← Older revision		Revision as of 20:48, 26 February 2022
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	Badness: 1.65 × 10<sup>-3</sup>		Badness: 1.65 × 10<sup>-3</sup>

			[[Category:Regular temperament theory]]
			[[Category:Rank 2]]