Porwell temperaments: Difference between revisions

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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:

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* [[Porcupine]] (+64/63) → [[Porcupine family #Porcupine|Porcupine 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]]

* [[Orwell]] (+225/224) → [[Semicomma family #Orwell|Semicomma family]]

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[[Badness]] (Sintel): 1.04

=== ~~11-limit~~ ===

=== Hendecaton ===

Subgroup: 2.3.5.7.11

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== 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>.

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

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: ''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

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: ''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

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~~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

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 {{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:
@@ Line 8: / Line 8: @@
 * [[Porcupine]] (+64/63) → [[Porcupine family #Porcupine|Porcupine 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]]
 * [[Orwell]] (+225/224) → [[Semicomma family #Orwell|Semicomma family]]
@@ Line 48: / Line 48: @@
 [[Badness]] (Sintel): 1.04
-=== 11-limit ===
+=== Hendecaton ===
 Subgroup: 2.3.5.7.11
@@ Line 354: / Line 354: @@
 == 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
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 : ''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
@@ Line 666: / Line 668: @@
 : ''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
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 {{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