Immunity family - Revision history

FloraC: Re-organize & + intro

2026-08-27T03:13:48Z

Re-organize & + intro

@@ Line 3: / Line 3: @@
 == Immunity ==
-Immunity is naturally a [[2.3.5.13 subgroup|2.3.5.13-subgroup]] temperament as the generator serves as ~[[26/15]] (or its [[octave complement]] ~[[15/13]]), tempering out [[676/675]].
+The head of this family is immunity, which splits the perfect twelfth in halves, and [[5/4]] is found in 13 generator steps. Its [[ploidacot]] is alpha-dicot. It is a member of the [[syntonic–limmic equivalence continuum]] with equivalence number ''n'' = 2, meaning the [[Pythagorean limma]] is equated with a stack of two [[syntonic comma]]s.
 [[Subgroup]]: 2.3.5
@@ Line 21: / Line 21: @@
 [[Badness]] (Sintel): 4.33
 === Overview to extensions ===
@@ Line 42: / Line 27: @@
 * Immunized adds [[64/63]];
 * Immune adds [[225/224]].
 == Septimal immunity ==
@@ Line 200: / Line 187: @@
 Badness (Sintel): 1.18
 [[Category:Immunity family| ]] <!-- Main article -->

FloraC: Switch to WE & CWE tunings

2026-08-27T02:48:50Z

Switch to WE & CWE tunings

← Older revision		Revision as of 02:48, 27 August 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''immunity family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[immunity comma]]~~, 1638400/1594323~~ ({{monzo\| 16 -13 2 }}).		The '''immunity family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[immunity comma]] ({{monzo\|legend=1\| 16 -13 2 }}, [[ratio]]: 1638400/1594323).

	== Immunity ==		== Immunity ==
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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~0000~~{{c}}, ~1280/729 = 952.~~7056~~{{c}}		* [[WE]]: ~2 = 1198.9215{{c}}, ~1280/729 = 952.0734{{c}}
	: [[error map]]: {{val\| 0.~~000~~ +3.~~456~~ -1.~~141~~ }}		: [[error map]]: {{val\| -1.079 +2.192 -0.731 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~1280/729 = 952.8424{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~1280/729 = 952.8424{{c}}
	: error map: {{val\| 0.000 +3.730 +0.638 }}		: error map: {{val\| 0.000 +3.730 +0.638 }}
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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~26/15 = 952.~~6431~~{{c}}		* WE: ~2 = 1198.8955{{c}}, ~26/15 = 952.0049{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~26/15 = 952.7890{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~26/15 = 952.7890{{c}}

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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~0000~~{{c}}, ~7/4 = ~~952~~.~~7674~~{{c}}		* [[WE]]: ~2 = 1201.4508{{c}}, ~7/4 = 953.5968{{c}}
	: [[error map]]: {{val\| 0.~~000~~ +3.~~580~~ -0.~~337~~ -16.~~058~~ }}		: [[error map]]: {{val\| +1.451 +5.239 -1.162 -12.327 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~7/4 = 952.5376{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~7/4 = 952.5376{{c}}
	: error map: {{val\| 0.000 +3.120 -3.325 -16.288 }}		: error map: {{val\| 0.000 +3.120 -3.325 -16.288 }}
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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~7/4 = ~~952~~.~~4418~~{{c}}		* WE: ~2 = 1202.6033{{c}}, ~7/4 = 954.1395{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.1429{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.1429{{c}}

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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~7/4 = ~~952~~.~~4723~~{{c}}		* WE: ~2 = 1202.5640{{c}}, ~7/4 = 954.0648{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.1117{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.1117{{c}}

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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~7/4 = ~~952~~.~~5282~~{{c}}		* WE: ~2 = 1201.6023{{c}}, ~7/4 = 953.4988{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.3120{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.3120{{c}}

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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = 1200.~~0000~~{{c}}, ~7/4 = 952.~~5292~~{{c}}		* WE: ~2 = 1200.5826{{c}}, ~7/4 = 952.4725{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.3038{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 952.3038{{c}}

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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~0000~~{{c}}, ~140/81 = ~~953~~.~~0010~~{{c}}		* [[WE]]: ~2 = 1196.6463{{c}}, ~140/81 = 950.8564{{c}}
	: [[error map]]: {{val\| 0.~~000 +4.047~~ +2.~~669~~ +19.~~170~~ }}		: [[error map]]: {{val\| -3.354 -0.242 +1.649 +7.626 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~140/81 = 953.3954{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~140/81 = 953.3954{{c}}
	: error map: {{val\| 0.000 +4.836 +7.827 +17.592 }}		: error map: {{val\| 0.000 +4.836 +7.827 +17.592 }}
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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~55/32 = ~~953~~.~~2713~~{{c}}		* WE: ~2 = 1196.9902{{c}}, ~55/32 = 951.0056{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~55/32 = 953.3755{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~55/32 = 953.3755{{c}}

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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~0000~~{{c}}, ~1000/567 = 952.~~3863~~{{c}}		* [[WE]]: ~2 = 1199.7353{{c}}, ~1000/567 = 952.2068{{c}}
	: [[error map]]: {{val\| 0.~~000~~ +2.~~818~~ -5.~~292~~ +2.~~763~~ }}		: [[error map]]: {{val\| -0.265 +2.459 -5.507 +2.939 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~1000/567 = 952.4061{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~1000/567 = 952.4061{{c}}
	: error map: {{val\| 0.000 +2.857 -5.034 +3.357 }}		: error map: {{val\| 0.000 +2.857 -5.034 +3.357 }}
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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~121/70 = 952.~~3747~~{{c}}		* WE: ~2 = 1199.7081{{c}}, ~121/70 = 952.1793{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~121/70 = 952.3983{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~121/70 = 952.3983{{c}}

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	Optimal tunings:		Optimal tunings:
	* ~~CTE~~: ~2 = ~~1200~~.~~0000~~{{c}}, ~26/15 = 952.~~3891~~{{c}}		* WE: ~2 = 1199.8625{{c}}, ~26/15 = 952.2977{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~26/15 = 952.4008{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~26/15 = 952.4008{{c}}

FloraC: Formatting & misc. cleanup

2026-08-27T02:35:49Z

Formatting & misc. cleanup

Show changes

FloraC: Recategorize

2026-08-14T12:01:20Z

Recategorize

← Older revision		Revision as of 12:01, 14 August 2026
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	Badness (Sintel): 1.179		Badness (Sintel): 1.179

	~~[[Category:Temperament families]]~~
	[[Category:Immunity family\| ]] <!-- Main article -->		[[Category:Immunity family\| ]] <!-- Main article -->
	[[Category:Immunity\| ]] <!-- Key article -->		[[Category:Immunity\| ]] <!-- Key article -->
	[[Category:~~Rank~~ 2]]		[[Category:Temperament families]]
			[[Category:Catalogs of rank-2 temperaments]]

Xenllium at 07:50, 27 February 2026

2026-02-27T07:50:25Z

← Older revision		Revision as of 07:50, 27 February 2026
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	Badness (Sintel): 0.858		Badness (Sintel): 0.858

			=== Overview to extensions ===
			The second comma of the comma list defines which 7-limit family member we are looking at:
			* Septimal immunity adds [[49/48]];
			* Immunized adds [[64/63]];
			* Immune adds [[225/224]].

	== Septimal immunity ==		== Septimal immunity ==

Xenllium at 22:56, 26 February 2026

2026-02-26T22:56:27Z

Show changes

Lucius Chiaraviglio: /* Immunity */ Add links to 26/15 and 15/13

2026-02-23T06:54:44Z

Immunity: Add links to 26/15 and 15/13

← Older revision		Revision as of 06:54, 23 February 2026
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	== Immunity ==		== Immunity ==
	Immunity is naturally a 2.3.5.13 [[subgroup temperament]] as the generator serves as ~26/15 (or its [[octave complement]] ~15/13), tempering out [[676/675]].		Immunity is naturally a 2.3.5.13 [[subgroup temperament]] as the generator serves as ~[[26/15]] (or its [[octave complement]] ~[[15/13]]), tempering out [[676/675]].

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5

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

2025-11-27T12:25:56Z

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

← Older revision		Revision as of 12:25, 27 November 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Immunity family\| ]] <!-- Main article -->		[[Category:Immunity family\| ]] <!-- Main article -->
	[[Category:Immunity\| ]] <!-- Key article -->		[[Category:Immunity\| ]] <!-- Key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2025-06-24T00:39:57Z

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

← Older revision		Revision as of 00:39, 24 June 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Immunity family\| ]] <!-- Main article -->		[[Category:Immunity family\| ]] <!-- Main article -->
	[[Category:Immunity\| ]] <!-- Key article -->		[[Category:Immunity\| ]] <!-- Key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:41, 12 June 2025

2025-06-12T04:41:27Z

← Older revision		Revision as of 04:41, 12 June 2025
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	{{Mapping\|legend=1\| 1 0 -8 2 \| 0 2 13 1 }}		{{Mapping\|legend=1\| 1 0 -8 2 \| 0 2 13 1 }}

	~~{{Multival\|legend=1\| 2 13 1 16 -4 -34 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 1 0 -8 6 \| 0 2 13 -4 }}		{{Mapping\|legend=1\| 1 0 -8 6 \| 0 2 13 -4 }}

	~~{{Multival\|legend=1\| 2 13 -4 16 -12 -46 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
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	{{Mapping\|legend=1\| 1 2 5 9 \| 0 -2 -13 -30 }}		{{Mapping\|legend=1\| 1 2 5 9 \| 0 -2 -13 -30 }}

	~~{{Multival\|legend=1\| 2 13 30 16 42 33 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s: