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Map of rank-2 temperaments: Difference between revisions

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Since this is the largest subset, it has its own page: [[map of linear temperaments]].
Since this is the largest subset, it has its own page: [[map of linear temperaments]].


==Two periods per octave==
== Two periods per octave ==
 
{| class="wikitable sortable mw-collapsible"
{| class="wikitable sortable mw-collapsible"
|-
|-
! colspan="9" | Generator
! colspan="9" | Generator
! | Cents
! Cents
! | Comments
! Comments
|-
|-
| | 0\2
| 0\2
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 0.000
| 0.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 1\26
| 1\26
| | 46.154
| 46.154
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 1\24
| 1\24
| |  
|  
| | 50.000
| 50.000
| | [[Shrutar|Shrutar]]
| [[Shrutar]]
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 2\46
| 2\46
| | 52.174
| 52.174
| | Shrutar
| Shrutar
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 1\22
| 1\22
| |  
|  
| |  
|  
| | 54.545
| 54.545
| | Shrutar
| Shrutar
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 1\20
| 1\20
| |  
|  
| |  
|  
| |  
|  
| | 60.000
| 60.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 1\18
| 1\18
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 66.667
| 66.667
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 2\34
| 2\34
| |  
|  
| |  
|  
| |  
|  
| | 70.588
| 70.588
| | [[Vishnu|Vishnu]]
| [[Vishnu]]
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7\118
| 7\118
| | 71.186
| 71.186
| | Vishnu
| Vishnu
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5\84
| 5\84
| |  
|  
| | 71.429
| 71.429
| | Vishnu
| Vishnu
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 3\50
| 3\50
| |  
|  
| |  
|  
| | 72.000
| 72.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 1\16
| 1\16
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 75.000
| 75.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 2\30
| 2\30
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 80.000
| 80.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 3\44
| 3\44
| |  
|  
| |  
|  
| |  
|  
| | 81.818
| 81.818
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 4\58
| 4\58
| |  
|  
| |  
|  
| | 82.759
| 82.759
| | [[Harry|Harry]]
| [[Harry]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|9\130
| 9\130
|83.077
| 83.077
|Harry
| Harry
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5\72
| 5\72
| |  
|  
| | 83.333
| 83.333
| | Harry
| Harry
|-
|-
| |  
|  
| |  
|  
| | 1\14
| 1\14
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 85.714
| 85.714
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 2\26
| 2\26
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 92.308
| 92.308
| | [[Injera|Injera]]
| [[Injera]]
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 3\38
| 3\38
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 94.737
| 94.737
| | Injera
| Injera
|-
|-
| |  
|  
| | 1\12
| 1\12
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 100.000
| 100.000
| | Injera/[[Diaschismic]]
| Injera/[[Diaschismic]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|5\58
| 5\58
|
|  
|
|  
|
|  
|103.448
| 103.448
|Diaschismic
| Diaschismic
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 4\46
| 4\46
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 104.348
| 104.348
| | Diaschismic/[[Srutal]]
| Diaschismic/[[Srutal]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|7\80
| 7\80
|
|  
|
|  
|
|  
|105.000
| 105.000
|Srutal
| Srutal
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 3\34
| 3\34
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 105.882
| 105.882
| | Srutal/[[Pajara]]
| Srutal/[[Pajara]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|5\56
| 5\56
|
|  
|
|  
|
|  
|
|  
|107.143
| 107.143
|Pajara
| Pajara
|-
|-
| |  
|  
| |  
|  
| | 2\22
| 2\22
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 109.091
| 109.091
| | Pajara
| Pajara
|-
|-
|
|  
|
|  
|
|  
|3\32
| 3\32
|
|  
|
|  
|
|  
|
|  
|
|  
|112.500
| 112.500
|
|  
|-
|-
| | 1\10
| 1\10
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 120.000
| 120.000
| | [[Octokaidecal]]
| [[Octokaidecal]]
|-
|-
|
|  
|
|  
|3\28
| 3\28
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|128.571
| 128.571
|Octokaidecal
| Octokaidecal
|-
|-
| |  
|  
| | 2\18
| 2\18
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 133.333
| 133.333
| | Octokaidecal
| Octokaidecal
|-
|-
| |  
|  
| |  
|  
| | 3\26
| 3\26
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 138.462
| 138.462
| |  
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|6\60
| 6\60
|
|  
|
|  
|
|  
|
|  
|140.000
| 140.000
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|11\94
| 11\94
|
|  
|
|  
|
|  
|140.126
| 140.126
|Fifive
| Fifive
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|15\128
| 15\128
|
|  
|
|  
|140.625
| 140.625
|Fifive
| Fifive
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 4\34
| 4\34
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 141.176
| 141.176
| | [[Fifive|Fifive]]
| [[Fifive]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|5\42
| 5\42
|
|  
|
|  
|
|  
|
|  
|142.857
| 142.857
|
|  
|-
|-
| | 1\8
| 1\8
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 150.000
| 150.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 4\30
| 4\30
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 160.000
| 160.000
| |  
|  
|-
|-
| |  
|  
| | 3\22
| 3\22
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 163.636
| 163.636
| | [[Hedgehog|Hedgehog]]/[[Echidna]]
| [[Hedgehog]]/[[Echidna]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|11\80
| 11\80
|
|  
|
|  
|
|  
|
|  
|165.000
| 165.000
|Hedgehog/Echidna
| Hedgehog/Echidna
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 8\58
| 8\58
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 165.517
| 165.517
| | Hedgehog/Echidna
| Hedgehog/Echidna
|-
|-
| |  
|  
| |  
|  
| | 5\36
| 5\36
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 166.667
| 166.667
| |  
|  
|-
|-
| | 2\14
| 2\14
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 171.429
| 171.429
| |  
|  
|-
|-
| |  
|  
| | 3\20
| 3\20
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 180.000
| 180.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7\46
| 7\46
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 182.609
| 182.609
| | [[Unidec|Unidec]]/[[Hendec]]
| [[Unidec]]/[[Hendec]]
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11\72
| 11\72
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 183.333
| 183.333
| | Unidec/Hendec
| Unidec/Hendec
|-
|-
| |  
|  
| |  
|  
| | 4\26
| 4\26
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 184.615
| 184.615
| | Unidec/Hendec
| Unidec/Hendec
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5\32
| 5\32
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 187.500
| 187.500
| |  
|  
|-
|-
| | 1\6
| 1\6
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 200.000
| 200.000
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 6\34
| 6\34
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 211.765
| 211.765
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 5\28
| 5\28
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 214.286
| 214.286
| | [[Antikythera]]
| [[Antikythera]]
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 9\50
| 9\50
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 216.000
| 216.000
| | Antikythera/[[Wizard]]
| Antikythera/[[Wizard]]
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13\72
| 13\72
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 216.667
| 216.667
| | Antikythera/Wizard
| Antikythera/Wizard
|-
|-
| |  
|  
| | 4\22
| 4\22
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 218.182
| 218.182
| | Antikythera/Wizard/[[Astrology]]
| Antikythera/Wizard/[[Astrology]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|15\82
| 15\82
|
|  
|
|  
|
|  
|
|  
|219.512
| 219.512
|Astrology
| Astrology
|-
|-
|
|  
|
|  
|
|  
|11\60
| 11\60
|
|  
|
|  
|
|  
|
|  
|
|  
|220.000
| 220.000
|Astrology
| Astrology
|-
|-
|
|  
|
|  
|7\38
| 7\38
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|221.053
| 221.053
|
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 225.000
| 225.000
| | [[Lemba]]
| [[Lemba]]
|-
|-
| |  
|  
| | 5\26
| 5\26
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 230.769
| 230.769
| | Lemba
| Lemba
|-
|-
|
|  
|
|  
|
|  
|12\62
| 12\62
|
|  
|
|  
|
|  
|
|  
|
|  
|232.258
| 232.258
|Lemba
| Lemba
|-
|-
| |  
|  
| |  
|  
| | 7\36
| 7\36
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 233.333
| 233.333
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 9\46
| 9\46
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 234.783
| 234.783
| | [[Echidnic|Echidnic]]
| [[Echidnic]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|29\148
| 29\148
|
|  
|
|  
|235.135
| 235.135
|Echidnic
| Echidnic
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|20\102
| 20\102
|
|  
|
|  
|
|  
|235.294
| 235.294
|Echidnic
| Echidnic
|-
|-
|
|  
|
|  
|
|  
|
|  
|11\56
| 11\56
|
|  
|
|  
|
|  
|
|  
|235.714
| 235.714
|
|  
|-
|-
| | 2\10
| 2\10
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 240.000
| 240.000
| | [[Decimal|Decimal]]
| [[Decimal]]
|-
|-
| |  
|  
| | 5\24
| 5\24
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 250.000
| 250.000
| | Decimal
| Decimal
|-
|-
|
|  
|
|  
|8\38
| 8\38
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|252.632
| 252.632
|Decimal
| Decimal
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 257.143
| 257.143
| | Decimal
| Decimal
|-
|-
| |  
|  
| | 4\18
| 4\18
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 266.667
| 266.667
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 5\22
| 5\22
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 272.727
| 272.727
| | [[Doublewide|Doublewide]]
| [[Doublewide]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|16\70
| 16\70
|
|  
|
|  
|
|  
|274.286
| 274.286
|Doublewide
| Doublewide
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11\48
| 11\48
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 275.000
| 275.000
| | Doublewide
| Doublewide
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 6\26
| 6\26
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 276.923
| 276.923
| |  
|  
|-
|-
| | 1\4
| 1\4
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 300.000
| 300.000
| |  
|  
|}
|}


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