Frameshift - Revision history

FloraC: Make todo more prominent

2026-09-17T07:45:25Z

Make todo more prominent

← Older revision		Revision as of 07:45, 17 September 2026
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	Whichever it is, the other temperament will have to be given another name that relates to frameshift in some way.		Whichever it is, the other temperament will have to be given another name that relates to frameshift in some way.

	~~See also the [[frameshift microtemperaments]], various other temperaments that temper the comma.~~		{{todo\|inline=1\|discuss title\|cleanup}}

	== Rank-4 temperaments ==		== Rank-4 temperaments ==
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	[[Badness]]:		[[Badness]]:

	~~{{todo\|inline=1\|discuss title\|expand}}~~
	[[Category:Temperaments]]		[[Category:Temperaments]]

FloraC: Merge

2026-09-17T07:43:41Z

Merge

← Older revision		Revision as of 07:43, 17 September 2026
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	See also the [[frameshift microtemperaments]], various other temperaments that temper the comma.		See also the [[frameshift microtemperaments]], various other temperaments that temper the comma.

	==Rank-2 frameshift?==		== Rank-4 temperaments ==
			=== Rank-4 frameshift? ===

			Subgroup: 2.3.5.7.11

			[[Comma list]]: [[frameshift comma\|22876792454961/22866405883904]]

			[[Mapping]]: [{{val\|1 1 0 0 -2}}, {{val\|0 3 0 0 28}}, {{val\|0 0 1 0 0}}, {{val\|0 0 0 1 0}}]

			[[POTE generator]]s: 1200.0000, 233.9749, 2786.2945, 3368.8027

			Recommended [[EDO]]s: {{EDOs\|1236, 836, 2190, 954, 2072, 1354, 400, 118, 3026, 1395}}

			Complexity: 0.063636

			Adjusted Error: 0.021391 cents

			TE Error: 0.006183 cents/octave

			== Rank-2 temperaments ==

			Temperaments discussed elsewhere include:
			* ''[[Guiron]]'', {[[385/384]], [[441/440]], [[10976/10935]]} → [[Gamelismic clan #Guiron\|Gamelismic clan]]
			* ''[[Quarterframe]]'', {[[3025/3024]], [[26214400/26198073]], [[29296875/29218112]]} → [[The Quartercache #Quarterframe\|The Quartercache]]
			* ''[[Tritricot]]'', {[[4000/3993]], [[166698/166375]], [[200704/200475]]} → [[Tricot family #Tritricot\|Tricot family]]
			* ''[[Auric]]'', {4000/3993, 15625/15552, 32805/32768} → [[159th-octave temperaments#Auric\|159th-octave temperaments]]

			=== Rank-2 frameshift? ===

	Subgroup: 2.3.11		Subgroup: 2.3.11
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	TE Error: 0.007983 cents/octave		TE Error: 0.007983 cents/octave

	==~~Rank~~-~~4 frameshift?=~~=		=== 159 & 400 ===
			Subgroup: 2.3.5.7.11

			[[Comma list]]: [[200704/200475]], [[160083/160000]], [[166698/166375]]

			[[Mapping]]: [{{val\|1 4 47 66 26}}, {{val\|0 -6 -111 -157 -56}}]

			[[POTE generator]]: ~2707/2048 = 483.0025

	~~Subgroup: 2.3.5.7.11~~		{{Optimal ET sequence\|legend=1\|159, 241, 400, 559, 959}}

	[[~~Comma list~~]]: ~~[[frameshift comma\|22876792454961/22866405883904]]~~		[[Badness]]:

	~~[[Mapping]]~~: ~~[{{val\|1 1 0 0 -~~2~~}}, {{val\|0~~ 3 ~~0 0 28}}, {{val\|0 0 1 0 0}}, {{val\|0 0 0 1 0}}]~~		=== 118 & 400 ===
			Subgroup: 2.3.5.7.11

	[[~~POTE generator~~]]s: ~~1200.0000~~, ~~233.9749~~, ~~2786.2945, 3368.8027~~		[[Comma list]]: [[5632/5625]], [[9801/9800]], [[200704/200475]]

	~~Recommended~~ [[~~EDO~~]]s: {{~~EDOs~~\|~~1236~~, ~~836, 2190, 954, 2072, 1354, 400, 118, 3026, 1395~~}}		[[Mapping]]: [{{val\|2 5 8 23 24}}, {{val\|0 -6 -11 -57 -56}}]

	~~Complexity~~: 0.~~063636~~		[[POTE generator]]: ~11585/8192 = 600, ~329/296 = 183.0023

	~~Adjusted Error: 0.021391 cents~~		{{Optimal ET sequence\|legend=1\|118, 282, 400, 518, 636, 754d, 918}}

	~~TE Error~~: ~~0.006183 cents/octave~~		[[Badness]]:

	{{todo\|inline=1\|discuss title\|expand}}		{{todo\|inline=1\|discuss title\|expand}}
	[[Category:Temperaments]]		[[Category:Temperaments]]

BudjarnLambeth: Document both possible interpretations of the temperamemt

2024-10-27T11:36:24Z

Document both possible interpretations of the temperamemt

@@ Line 6: / Line 6: @@
 See also the [[frameshift microtemperaments]], various other temperaments that temper the comma.
 {{todo|inline=1|discuss title|expand}}
 [[Category:Temperaments]]

BudjarnLambeth at 11:57, 17 October 2024

2024-10-17T11:57:40Z

← Older revision		Revision as of 11:57, 17 October 2024
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	The temperament generated by tempering out the [[frameshift comma]].		The temperament generated by tempering out the [[frameshift comma]].
	{{~~stub~~}}
			It still needs to be decided whether this name refers to the higher-rank 11-limit tuning implied by the comma, or whether this name applies to the the rank-2 2.3.11 subgroup tuning implied by the comma.

			Whichever it is, the other temperament will have to be given another name that relates to frameshift in some way.

			See also the [[frameshift microtemperaments]], various other temperaments that temper the comma.
			{{todo\|inline=1\|discuss title\|expand}}
	[[Category:Temperaments]]		[[Category:Temperaments]]

BudjarnLambeth: Created page with "The temperament generated by tempering out the frameshift comma. {{stub}} Category:Temperaments"

2024-10-17T11:47:30Z

Created page with "The temperament generated by tempering out the frameshift comma. {{stub}} Category:Temperaments"

New page

The temperament generated by tempering out the [[frameshift comma]].
{{stub}}
[[Category:Temperaments]]