Porwell temperaments - Revision history

FloraC: /* Semaja */ relate to llywelynsmic clan

2026-05-28T10:17:18Z

Semaja: relate to llywelynsmic clan

← Older revision		Revision as of 10:17, 28 May 2026
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	== Semaja ==		== Semaja ==
	Cryptically named by [[Petr Pařízek]] in 2011, semaja adds the [[gariboh comma]] to the comma list, and may be described as the {{nowrap\| 37 & 53 }} temperament. Its [[ploidacot]] is gamma-19-cot. The name actually refers to the fact that two of its ~[[8/7]] generator steps reach a ~[[13/10]]<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>.		{{See also\| Llywelynsmic clan }}

			Cryptically named by [[Petr Pařízek]] in 2011, semaja adds the [[gariboh comma]] to the comma list, and may be described as the {{nowrap\| 37 & 53 }} temperament. Its [[ploidacot]] is gamma-19-cot (or alpha-heptaseph due to a much simpler [[2.5.7 subgroup\|2.5.7-subgroup]] [[restriction]]). The name actually refers to the fact that two of its ~[[8/7]] generator steps reach a ~[[13/10]]<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: /* Hendecatonic */ decanonicalize undecimal hendecatonic

2026-05-19T08:06:22Z

Hendecatonic: decanonicalize undecimal hendecatonic

← Older revision		Revision as of 08:06, 19 May 2026
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	[[Badness]] (Sintel): 1.04		[[Badness]] (Sintel): 1.04

	=== ~~11-limit~~ ===		=== Hendecaton ===
	Subgroup: 2.3.5.7.11		Subgroup: 2.3.5.7.11

FloraC at 03:46, 23 April 2026

2026-04-23T03:46:20Z

← Older revision		Revision as of 03:46, 23 April 2026
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	{{Technical data page}}		{{Technical data page}}
	This is a collection of [[regular temperament\|temperaments]] that [[tempering out\|~~tempers~~ out]] the porwell comma, {{monzo\| 11 1 -3 -2 }} ([[6144/6125]]).		This is a collection of [[regular temperament\|temperaments]] that [[tempering out\|temper out]] the [[porwell comma]] ({{monzo\|legend=1\| 11 1 -3 -2 }}, [[ratio]]: [[6144/6125]]).

	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:

FloraC: More intro

2026-04-19T11:34:49Z

More intro

← Older revision		Revision as of 11:34, 19 April 2026
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	* [[Porcupine]] (+64/63) → [[Porcupine family #Porcupine\|Porcupine family]]		* [[Porcupine]] (+64/63) → [[Porcupine family #Porcupine\|Porcupine family]]
	* ''[[Alphatrident]]'' (+14348907/14336000) → [[Alphatricot family #Alphatrident\|Alphatricot family]]		* ''[[Alphatrident]]'' (+14348907/14336000) → [[Alphatricot family #Alphatrident\|Alphatricot family]]
	* [[Shrutar]] (+245/243) → [[Diaschismic family #Shrutar\|Diaschismic family]]		* ''[[Shrutar]]'' (+245/243) → [[Diaschismic family #Shrutar\|Diaschismic family]]
	* [[Amity]] (+4375/4374 or 5120/5103) → [[Amity family #Septimal amity\|Amity family]]		* [[Amity]] (+4375/4374 or 5120/5103) → [[Amity family #Septimal amity\|Amity family]]
	* [[Orwell]] (+225/224) → [[Semicomma family #Orwell\|Semicomma family]]		* [[Orwell]] (+225/224) → [[Semicomma family #Orwell\|Semicomma family]]
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	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Leapday]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Leapday]].''

	Polypyth ~~(46 & 121)~~ tempers out the same 5-limit comma as the [[~~leapday~~]] ~~temperament (29 & 46)~~, but ~~with~~ the porwell (6144/6125) rather than the hemifamity (5120/5103) tempered out.		Polypyth tempers out the same 5-limit comma as [[leapday]], with which it shares the similarly sharp [[3/2\|perfect-fifth]] generator, but the porwell comma (6144/6125) rather than the hemifamity comma (5120/5103) is tempered out here. It may be described as the {{nowrap\| 46 & 121 }} temperament, and [[121edo]] and [[167edo]] make for good tunings.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	: ''For the 5-limit version, see [[Very high accuracy temperaments #Whoosh]].''		: ''For the 5-limit version, see [[Very high accuracy temperaments #Whoosh]].''

	Also named by [[Petr Pařízek]] in 2011, ''whoops'' is a relatively simple extension to the otherwise very accurate microtemperament known as ''whoosh''<ref name="petr's long post"/>.		Also named by [[Petr Pařízek]] in 2011, whoops is a relatively simple extension to the otherwise very accurate microtemperament known as ''whoosh''<ref name="petr's long post"/>.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	{{See also\| 23rd-octave temperaments }}		{{See also\| 23rd-octave temperaments }}

	~~The icositritonic temperament (46 & 161)~~ has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]].		Icositritonic has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]]. It may be described as {{nowrap\| 46 & 161 }}. It was named by [[Xenllium]] in 2019 for its number of periods per octave.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: + intro to grendel

2026-04-19T11:00:58Z

+ intro to grendel

← Older revision		Revision as of 11:00, 19 April 2026
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	* ''[[Hemimaquila]]'' (+{{monzo\| -5 10 5 -8 }}) → [[Maquila family #Hemimaquila\|Maquila family]]		* ''[[Hemimaquila]]'' (+{{monzo\| -5 10 5 -8 }}) → [[Maquila family #Hemimaquila\|Maquila family]]

	Considered below are hendecatonic, nessafof, twothirdtonic, aufo, absurdity, polypyth, whoops, dodifo, and icositritonic, in the order of increasing [[badness]].		Considered below are hendecatonic, nessafof, grendel, twothirdtonic, aufo, absurdity, polypyth, whoops, dodifo, and icositritonic, in the order of increasing [[badness]].

	== Hendecatonic ==		== Hendecatonic ==
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	== Grendel ==		== Grendel ==
	: ''For the 5-limit version, see [[Syntonic–31 equivalence continuum #Counterwürschmidt]].''		: ''For the 5-limit version, see [[Syntonic–31 equivalence continuum #Counterwürschmidt]].''

			Grendel tempers out 16875/16807, the [[mirkwai comma]], and may be described as the {{nowrap\| 31 & 152 }} temperament. [[152edo]], [[183edo]] and especially [[335edo]] serve as good tunings.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: Move grendel here cuz mirkwai clan is a no-2 clan, which doesn't explain its structure very well

2026-04-19T10:51:10Z

Move grendel here cuz mirkwai clan is a no-2 clan, which doesn't explain its structure very well

@@ Line 21: / Line 21: @@
 * ''[[Septisuperfourth]]'' (+118098/117649) → [[Escapade family #Septisuperfourth|Escapade family]]
 * ''[[Hemimabila]]'' (+117649/116640) → [[Mabila family #Hemimabila|Mabila family]]
 * ''[[Countermiracle]]'' (+823543/819200) → [[Quince clan #Countermiracle|Quince clan]]
 * ''[[Hemimaquila]]'' (+{{monzo| -5 10 5 -8 }}) → [[Maquila family #Hemimaquila|Maquila family]]
@@ Line 221: / Line 220: @@
 Badness (Sintel): 2.26
 == Twothirdtonic ==

FloraC: /* Nessafof / decanonicalize 11-limit; name it fof*

2026-04-19T10:08:09Z

Nessafof: decanonicalize 11-limit; name it *fof*

@@ Line 176: / Line 176: @@
 [[Badness]] (Sintel): 1.14
 === Nessa ===
@@ Line 218: / Line 203: @@
 * CWE: ~44/35 = 400.0000{{c}}, ~35/32 = 157.3955{{c}}
-{{Optimal ET sequence|legend=0| 15, 54bf, 69, 84, 99ef, 183ef, 282eeff }}
+{{Optimal ET sequence|legend=0| 15, 69, 84, 99ef, 183ef, 282eeff }}
 Badness (Sintel): 1.55
 == Twothirdtonic ==

FloraC: Sort links by ploidacot and main entries by badness

2026-04-18T18:19:58Z

Sort links by ploidacot and main entries by badness

Show changes

FloraC: Switch to Sintel's badness, WE & CWE tunings (4/4)

2026-04-18T18:10:51Z

Switch to Sintel's badness, WE & CWE tunings (4/4)

Show changes

FloraC: Switch to Sintel's badness, WE & CWE tunings (3/)

2026-04-18T17:40:11Z

Switch to Sintel's badness, WE & CWE tunings (3/)

Show changes

Porwell temperaments - Revision history

FloraC: /* Semaja */ relate to llywelynsmic clan

FloraC: /* Hendecatonic */ decanonicalize undecimal hendecatonic

FloraC at 03:46, 23 April 2026

FloraC: More intro

FloraC: + intro to grendel

FloraC: Move grendel here cuz mirkwai clan is a no-2 clan, which doesn't explain its structure very well

FloraC: /* Nessafof */ decanonicalize 11-limit; name it *fof*

FloraC: Sort links by ploidacot and main entries by badness

FloraC: Switch to Sintel's badness, WE & CWE tunings (4/4)

FloraC: Switch to Sintel's badness, WE & CWE tunings (3/)

FloraC: /* Nessafof / decanonicalize 11-limit; name it fof*