Just intonation subgroup: Difference between revisions

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Canonical ordering
m chromatic pairs links
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* {{EDOs|legend=1| 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 }}
* {{EDOs|legend=1| 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 }}
* ''Terrain temperament'' subgroup, see [[Chromatic pairs #Terrain]]
* ''Terrain temperament'' subgroup, see [[Subgroup temperaments #Terrain]]


; 3.5.7:
; 3.5.7:
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; 2.3.7.11:
; 2.3.7.11:
* {{EDOs|legend=1| 9, 17, 26, 31, 41, 46, 63, 72, 135 }}
* {{EDOs|legend=1| 9, 17, 26, 31, 41, 46, 63, 72, 135 }}
* The [[Chromatic pairs#Radon|Radon temperament]] subgroup, generated by the Ptolemy Intense Chromatic [22/21, 8/7, 4/3, 3/2, 11/7, 12/7, 2/1]
* The [[Gamelismic clan#Radon|Radon temperament]] subgroup, generated by the Ptolemy Intense Chromatic [22/21, 8/7, 4/3, 3/2, 11/7, 12/7, 2/1]
* See: [[Gallery of 2.3.7.11 Subgroup Scales]]
* See: [[Gallery of 2.3.7.11 Subgroup Scales]]


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* {{EDOs|legend=1| 33, 41, 49, 57, 106, 204, 253 }}
* {{EDOs|legend=1| 33, 41, 49, 57, 106, 204, 253 }}
* The [[Chromatic_pairs#Indium|Indium temperament]] subgroup.
* The [[Subgroup temperaments#Indium|Indium temperament]] subgroup.


=== 13-limit subgroups ===
=== 13-limit subgroups ===
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; 2.3.5.13:
; 2.3.5.13:
* {{EDOs|legend=1| 15, 19, 34, 53, 87, 130, 140, 246, 270 }}
* {{EDOs|legend=1| 15, 19, 34, 53, 87, 130, 140, 246, 270 }}
* The [[Chromatic pairs#Cata|Cata]], [[The Archipelago#Trinidad|Trinidad]] and [[The Archipelago#Parizekmic|Parizekmic]] temperaments subgroup.
* The [[Kleismic family#Cata|Cata]], [[The Archipelago#Trinidad|Trinidad]] and [[The Archipelago#Parizekmic|Parizekmic]] temperaments subgroup.


; 2.3.7.13:
; 2.3.7.13:
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; 2.5.7.13:
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* {{EDOs|legend=1| 7, 10, 17, 27, 37, 84, 121, 400 }}
* {{EDOs|legend=1| 7, 10, 17, 27, 37, 84, 121, 400 }}
* The [[Chromatic_pairs#Huntington|Huntington temperament]] subgroup.
* The [[No-threes subgroup temperaments#Huntington|Huntington temperament]] subgroup.


; 2.5.7.11.13:
; 2.5.7.11.13:
* {{EDOs|legend=1| 6, 7, 13, 19, 25, 31, 37 }}
* {{EDOs|legend=1| 6, 7, 13, 19, 25, 31, 37 }}
* The [[Chromatic_pairs#Roulette|Roulette temperament]] subgroup
* The [[Hemimean clan#Roulette|Roulette temperament]] subgroup


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; 2.3.11/5.13/5:
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* {{EDOs|legend=1| 5, 9, 14, 19, 24, 29 }}
* {{EDOs|legend=1| 5, 9, 14, 19, 24, 29 }}
* The [[Chromatic pairs#Bridgetown|Bridgetown temperament]] subgroup.
* The [[Subgroup temperaments#Bridgetown|Bridgetown temperament]] subgroup.


; 2.3.11/7.13/7:
; 2.3.11/7.13/7:
* {{EDOs|legend=1| 5, 7, 12, 17, 29, 46, 75, 196, 271 }}
* {{EDOs|legend=1| 5, 7, 12, 17, 29, 46, 75, 196, 271 }}
* The [[Chromatic pairs#Pepperoni|Pepperoni temperament]] subgroup.
* The [[Subgroup temperaments#Pepperoni|Pepperoni temperament]] subgroup.


; 2.7/5.11/5.13/5:
; 2.7/5.11/5.13/5:
* {{EDOs|legend=1| 5, 8, 21, 29, 37, 66, 169, 235 }}
* {{EDOs|legend=1| 5, 8, 21, 29, 37, 66, 169, 235 }}
* The [[Chromatic pairs#Tridec|Tridec temperament]] subgroup.
* The [[Subgroup temperaments#Tridec|Tridec temperament]] subgroup.


=== Higher-limit subgroups ===
=== Higher-limit subgroups ===