Semiporwellismic clan - Revision history

FloraC: Re-organize

2026-06-17T10:17:13Z

Re-organize

← Older revision		Revision as of 10:17, 17 June 2026
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	The '''semiporwellismic clan''' of [[rank-3 temperament]]s [[tempering out\|tempers out]] the [[semiporwellisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 16384/16335).		The '''semiporwellismic clan''' of [[rank-3 temperament]]s [[tempering out\|tempers out]] the [[semiporwellisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 16384/16335).

	~~Temperaments discussed elsewhere are:~~		For the rank-4 temperament, see [[Catalog of rank-4 temperaments #Semiporwellismic (16384/16335)]].
	* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]
	* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Aberschismic family #Kapo\|Aberschismic family]]
	* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]

	~~Considered below is semiporwellic, the no-7 subgroup temperament.~~ For the rank-4 temperament, see [[~~Rank~~-4 ~~temperament~~ #Semiporwellismic (16384/16335)]].

	== Semiporwellic ==		== Semiporwellic ==
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	[[Badness]] (Sintel): 0.761		[[Badness]] (Sintel): 0.761

	=== 2.3.5.11.31 ~~subgroup~~ ===		=== Overview to extensions ===
			Temperaments discussed elsewhere are:
			* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]
			* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Aberschismic family #Kapo\|Aberschismic family]]
			* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]

			Considered below is the add-31 subgroup temperament of semiporwellic.

			== Subgroup extensions ==
			=== Semiporwellic (2.3.5.11.31) ===
	Subgroup: 2.3.5.11.31		Subgroup: 2.3.5.11.31

FloraC: Improve linking

2026-06-17T09:54:09Z

Improve linking

← Older revision		Revision as of 09:54, 17 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''semiporwellismic clan''' of [[~~Rank-3 temperament\|~~rank-3~~]] [[~~temperament]]s [[~~Tempering~~ out\|tempers out]] the [[semiporwellisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 16384/16335).		The '''semiporwellismic clan''' of [[rank-3 temperament]]s [[tempering out\|tempers out]] the [[semiporwellisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 16384/16335).

	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:

FloraC: + 2.3.5.11.31-subgroup temp

2026-06-17T09:51:59Z

+ 2.3.5.11.31-subgroup temp

@@ Line 26: / Line 26: @@
 [[Badness]] (Sintel): 0.761
 [[Category:Temperament clans]]
 [[Category:Semiporwellismic clan| ]] <!-- main article -->
 [[Category:Rank 3]]

FloraC: Switch to Sintel's badness, WE & CWE tunings. - redundant category

2026-06-17T09:41:13Z

Switch to Sintel's badness, WE & CWE tunings. - redundant category

← Older revision		Revision as of 09:41, 17 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''semiporwellismic clan''' of [[Rank-3 temperament\|rank-3]] [[temperament]]s [[Tempering out\|tempers out]] the [[semiporwellisma]]~~, 16384/16335 =~~ {{monzo\| 14 -3 -1 0 -2 }}.		The '''semiporwellismic clan''' of [[Rank-3 temperament\|rank-3]] [[temperament]]s [[Tempering out\|tempers out]] the [[semiporwellisma]] ({{monzo\|legend=1\| 14 -3 -1 0 -2 }}, [[ratio]]: 16384/16335).

	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
	* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]		* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]
	* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[~~Hemifamity~~ family #Kapo\|~~Hemifamity~~ family]]		* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Aberschismic family #Kapo\|Aberschismic family]]
	* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]		* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]

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	{{Mapping\|legend=2\| 1 0 0 0 7 \| 0 1 1 0 -2 \| 0 0 2 0 -1 }}		{{Mapping\|legend=2\| 1 0 0 0 7 \| 0 1 1 0 -2 \| 0 0 2 0 -1 }}
			: mapping generators: ~2, ~3, ~128/99

	: ~~sval mapping generators~~: ~2, ~3, ~128/99		[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.7329{{c}}, ~3/2 = 702.3657{{c}}, ~128/99 = 442.1589{{c}}
	[[~~Optimal tuning~~]] ([[~~CTE~~]]) ~2 = ~~1\1~~, ~3/2 = 702.~~4701~~, ~128/99 = 442.~~1061~~		: [[error map]]: {{val\| -0.267 +0.144 +0.103 +0.456 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.5107{{c}}, ~128/99 = 442.2243{{c}}
			: error map: {{val\| 0.000 +0.556 +0.646 +1.436 }}

	{{Optimal ET sequence\|legend=1\| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}		{{Optimal ET sequence\|legend=1\| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}

	[[Badness]]: 0.~~0922 × 10<sup>-3</sup>~~		[[Badness]] (Sintel): 0.761

	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:Semiporwellismic clan\| ]] <!-- main article -->		[[Category:Semiporwellismic clan\| ]] <!-- main article -->
	~~[[Category:Semiporwellismic\| ]] <!-- key article -->~~
	[[Category:Rank 3]]		[[Category:Rank 3]]

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

2025-11-27T12:21:12Z

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

← Older revision		Revision as of 12:21, 27 November 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Semiporwellismic clan\| ]] <!-- main article -->		[[Category:Semiporwellismic clan\| ]] <!-- main article -->
	[[Category:Semiporwellismic\| ]] <!-- key article -->		[[Category:Semiporwellismic\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]

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

2025-06-24T00:28:46Z

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

← Older revision		Revision as of 00:28, 24 June 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Semiporwellismic clan\| ]] <!-- main article -->		[[Category:Semiporwellismic clan\| ]] <!-- main article -->
	[[Category:Semiporwellismic\| ]] <!-- key article -->		[[Category:Semiporwellismic\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:26:50Z

← Older revision		Revision as of 14:26, 13 April 2025
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			{{Technical data page}}
	The '''semiporwellismic clan''' of [[Rank-3 temperament\|rank-3]] [[temperament]]s [[Tempering out\|tempers out]] the [[semiporwellisma]], 16384/16335 = {{monzo\| 14 -3 -1 0 -2 }}.		The '''semiporwellismic clan''' of [[Rank-3 temperament\|rank-3]] [[temperament]]s [[Tempering out\|tempers out]] the [[semiporwellisma]], 16384/16335 = {{monzo\| 14 -3 -1 0 -2 }}.

FloraC: Name and optimal tuning of "no-7 porwellismic"

2023-10-05T09:47:35Z

Name and optimal tuning of "no-7 porwellismic"

← Older revision		Revision as of 09:47, 5 October 2023
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	* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]		* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]

	Considered below is the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]].		Considered below is semiporwellic, the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]].

	== ~~No-7 semiporwellismic~~ ==		== Semiporwellic ==
	[[Subgroup]]: 2.3.5.11		[[Subgroup]]: 2.3.5.11

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	: sval mapping generators: ~2, ~3, ~128/99		: sval mapping generators: ~2, ~3, ~128/99

			[[Optimal tuning]] ([[CTE]]) ~2 = 1\1, ~3/2 = 702.4701, ~128/99 = 442.1061

	{{Optimal ET sequence\|legend=1\| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}		{{Optimal ET sequence\|legend=1\| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}

FloraC: Linking

2023-09-14T08:37:45Z

Linking

← Older revision		Revision as of 08:37, 14 September 2023
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	The '''semiporwellismic clan''' of rank-3 ~~temperaments~~ tempers out the [[semiporwellisma]], 16384/16335 = {{monzo\| 14 -3 -1 0 -2 }}.		The '''semiporwellismic clan''' of [[Rank-3 temperament\|rank-3]] [[temperament]]s [[Tempering out\|tempers out]] the [[semiporwellisma]], 16384/16335 = {{monzo\| 14 -3 -1 0 -2 }}.

	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:

FloraC: Update keys; -semiporwellismic (addressed in rank-4 temperaments)

2023-09-14T08:37:09Z

Update keys; -semiporwellismic (addressed in rank-4 temperaments)

← Older revision		Revision as of 08:37, 14 September 2023
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	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
	* [[Sensamagic]]~~, {~~385/384, 896/891} → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]		* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic\|Sensamagic family]]
	* ''[[Kapo]]''~~, {~~3025/3024, 5120/5103} → [[Hemifamity family #Kapo\|Hemifamity family]]		* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Hemifamity family #Kapo\|Hemifamity family]]
	* ''[[Semiporwell]]''~~, {~~6144/6125, 9801/9800} → [[Porwell family #Semiporwell\|Porwell family]]		* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell\|Porwell family]]

	Considered below is the no-7 subgroup temperament~~, but we can begin by looking at~~ the rank-4 temperament.		Considered below is the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]].

	~~== Semiporwellismic ==~~
	~~Subgroup: 2.3.5.7.11~~

	[[~~Comma list]]:~~ 16384/16335

	~~[[Mapping~~]]~~: [{{val\| 1 0 0 0 7 }}, {{val\| 0 1 1 0 -2 }}, {{val\| 0 0 2 0 -1 }}, {{val\| 0 0 0 1 0 }}]~~

	~~Mapping generators: ~2, ~3, ~128/99, ~7~~

	~~{{Optimal ET sequence\|legend=1\| 19, 22, 41, 65d, 68, 84, 87, 111, 130, 152, 239, 282, 328, 369, 521e, 1370bcdeee, 1411bcdeee, 1609bccdeee }}~~

	~~[[Badness]]: 0~~.~~219 × 10<sup>-6</sup>~~

	== No-7 semiporwellismic ==		== No-7 semiporwellismic ==
	Subgroup: 2.3.5.11		[[Subgroup]]: 2.3.5.11

	[[Comma list]]: 16384/16335		[[Comma list]]: 16384/16335

	~~[[Sval]] [[mapping]]: [~~{{~~val~~\| 1 0 0 0 7 ~~}}, {{val~~\| 0 1 1 0 -2 ~~}}, {{val~~\| 0 0 2 0 -1 }}]		{{Mapping\|legend=2\| 1 0 0 0 7 \| 0 1 1 0 -2 \| 0 0 2 0 -1 }}

	~~Sval~~ mapping generators: ~2, ~3, ~128/99		: sval mapping generators: ~2, ~3, ~128/99

	{{Optimal ET sequence\|legend=1\| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}		{{Optimal ET sequence\|legend=1\| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:Semiporwellismic clan\| ]] <!-- main article -->		[[Category:Semiporwellismic clan\| ]] <!-- main article -->
			[[Category:Semiporwellismic\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]