Map of rank-2 temperaments: Difference between revisions

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{{todo|complete table|comment=add trisedodge (optimal ETs 15, 50, 65, 80, 340, 405) and countdown (15, 35, 50, 65, 210, 275, 340)}}
{{todo|complete table|comment=add trisedodge (optimal ETs 15, 50, 65, 80, 340, 405) and countdown (15, 35, 50, 65, 210, 275, 340)}}
{| class="wikitable sortable mw-collapsible"
{| class="wikitable sortable mw-collapsible"
! colspan="9" |Generator!!Cents !!Comments
! colspan="9" | Generator
! Cents
! Comments
|-
|-
|0\5 ||| ||
| 0\5  
|
|   
|  
|  
|  
|  
|  
|  
| || 0||
|  
|  
|
|
| 0
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\140
| 1\140
|
|  
|
|  
|
|  
|8.571
| 8.571
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\135
| 1\135
|
|  
|
|  
|
|  
|8.889
| 8.889
|[[5th-octave temperaments#Slendrismic|Slendrismic]]
| [[5th-octave temperaments#Slendrismic|Slendrismic]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|3\400
| 3\400
|
|  
|9
| 9
|Slendrismic
| Slendrismic
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|5\665
| 5\665
|9.023
| 9.023
|Slendrismic
| Slendrismic
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|2\265
| 2\265
|
|  
|
|  
|9.057
| 9.057
|Slendrismic
| Slendrismic
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\130
| 1\130
|
|  
|
|  
|
|  
|9.231
| 9.231
|Slendrismic/[[Hemipental]]
| Slendrismic/[[Hemipental]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|4\515
| 4\515
|9.32
| 9.32
|Hemipental
| Hemipental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|3\385
| 3\385
|
|  
|9.351
| 9.351
|Hemipental
| Hemipental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|5\640
| 5\640
|9.375
| 9.375
|Hemipental
| Hemipental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|2\255
| 2\255
|
|  
|
|  
|9.412
| 9.412
|Hemipental
| Hemipental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\125
| 1\125
|
|  
|
|  
|
|  
|9.6
| 9.6
|Hemipental
| Hemipental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\120
| 1\120
|
|  
|
|  
|
|  
|10
| 10
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\115
| 1\115
|
|  
|
|  
|
|  
|10.435
| 10.435
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|...
| ...
|
|  
|
|  
|
|  
|...
| ...
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\70
| 1\70
|
|  
|
|  
|
|  
|17.143
| 17.143
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\65
| 1\65
|
|  
|
|  
|
|  
|18.462
| 18.462
|[[Pental (temperament)|Pental]]
| [[Pental (temperament)|Pental]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|4\255
| 4\255
|18.824
| 18.824
|Pental
| Pental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|3\190
| 3\190
|
|  
|18.947
| 18.947
|Pental
| Pental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|5\315
| 5\315
|19.048
| 19.048
|Pental
| Pental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|2\125
| 2\125
|
|  
|
|  
|19.2
| 19.2
|Pental
| Pental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|3\185
| 3\185
|
|  
|19.459
| 19.459
|Pental
| Pental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\60
| 1\60
|
|  
|
|  
|
|  
|20
| 20
|Pental
| Pental
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\55
| 1\55
|
|  
|
|  
|
|  
|21.818
| 21.818
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\50
| 1\50
|
|  
|
|  
|
|  
|24
| 24
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|1\45
| 1\45
|
|  
|
|  
|
|  
|26.67
| 26.67
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\40
| 1\40
|
|  
|
|  
|
|  
|
|  
|30
| 30
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\35
| 1\35
|
|  
|
|  
|
|  
|
|  
|
|  
|34.286
| 34.286
|
|  
|-
|-
|
|  
|
|  
|1\30
| 1\30
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|40
| 40
|
|  
|-
|-
|
|  
|1\25
| 1\25
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|48
| 48
|
|  
|-
|-
|1\20
| 1\20
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|60
| 60
|
|  
|-
|-
|
|  
|2\35
| 2\35
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|68.571
| 68.571
|[[Coblack]]
| [[Coblack]]
|-
|-
|
|  
|
|  
|
|  
|5\85
| 5\85
|
|  
|
|  
|
|  
|
|  
|
|  
|70.588
| 70.588
|Coblack
| Coblack
|-
|-
|
|  
|
|  
|3\50
| 3\50
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|72
| 72
|Coblack
| Coblack
|-
|-
|
|  
|
|  
|
|  
|
|  
|7\115
| 7\115
|
|  
|
|  
|
|  
|
|  
|73.043
| 73.043
|Coblack
| Coblack
|-
|-
|
|  
|
|  
|
|  
|4\65
| 4\65
|
|  
|
|  
|
|  
|
|  
|
|  
|73.846
| 73.846
|Coblack
| Coblack
|-
|-
| 1\15 ||||
| 1\15  
|
|   
|   
|  
|  
|  
|  
|  
|  
| || 80||[[Blackwood]]/[[Blacksmith]]
|  
|  
|
| 80
| [[Blackwood]]/[[Blacksmith]]
|-
|-
|
|  
|
|  
|
|  
|5\70
| 5\70
|
|  
|
|  
|
|  
|
|  
|
|  
|85.714
| 85.714
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|
|  
|4\55
| 4\55
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|87.273
| 87.273
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|
|  
|
|  
|7\95
| 7\95
|
|  
|
|  
|
|  
|
|  
|
|  
|88.421
| 88.421
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|3\40
| 3\40
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|90
| 90
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|
|  
|
|  
|8\105
| 8\105
|
|  
|
|  
|
|  
|
|  
|
|  
|91.429
| 91.429
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|
|  
|5\65
| 5\65
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|92.308
| 92.308
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|
|  
|
|  
|7\90
| 7\90
|
|  
|
|  
|
|  
|
|  
|
|  
|93.333
| 93.333
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|2\25
| 2\25
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|96
| 96
|Blackwood/Blacksmith
| Blackwood/Blacksmith
|-
|-
|
|  
|
|  
|5\60
| 5\60
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|100
| 100
|Blackwood
| Blackwood
|-
|-
|
|  
|
|  
|
|  
|8\95
| 8\95
|
|  
|
|  
|
|  
|
|  
|
|  
|101.053
| 101.053
|Blackwood
| Blackwood
|-
|-
|
|  
|3\35
| 3\35
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|102.857
| 102.857
|Blackwood
| Blackwood
|-
|-
|
|  
|
|  
|
|  
|7\80
| 7\80
|
|  
|
|  
|
|  
|
|  
|
|  
|105
| 105
|Blackwood
| Blackwood
|-
|-
|
|  
|
|  
|4\45
| 4\45
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|106.667
| 106.667
|Blackwood
| Blackwood
|-
|-
|
|  
|
|  
|
|  
|5\55
| 5\55
|
|  
|
|  
|
|  
|
|  
|
|  
|109.091
| 109.091
|Blackwood
| Blackwood
|-
|-
|
|  
|
|  
|
|  
|
|  
|6\65
| 6\65
|
|  
|
|  
|
|  
|
|  
|110.769
| 110.769
|Blackwood/[[Quintosec]]/[[Sengasec]]
| Blackwood/[[Quintosec]]/[[Sengasec]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|25\270
| 25\270
|111.111
| 111.111
|Blackwood/Quintosec/Sengasec/[[Qintosec]]
| Blackwood/Quintosec/Sengasec/[[Qintosec]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|19\205
| 19\205
|
|  
|111.220
| 111.220
|Blackwood/Quintosec/SengasecQintosec
| Blackwood/Quintosec/SengasecQintosec
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|13\140
| 13\140
|
|  
|
|  
|111.429
| 111.429
|Blackwood/Quintosec/Sengasec/Qintosec
| Blackwood/Quintosec/Sengasec/Qintosec
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|20\215
| 20\215
|
|  
|111.628
| 111.628
|Blackwood/Qintosec
| Blackwood/Qintosec
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|7\75
| 7\75
|
|  
|
|  
|
|  
|112
| 112
|Blackwood/[[Qinto]]
| Blackwood/[[Qinto]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|15\160
| 15\160
|
|  
|112.5
| 112.5
|Blackwood/Qinto
| Blackwood/Qinto
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|8\85
| 8\85
|
|  
|
|  
|112.941
| 112.941
|Blackwood/[[Phi as a Generator|Elderthing]]
| Blackwood/[[Phi as a Generator|Elderthing]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|9\95
| 9\95
|
|  
|
|  
|113.684
| 113.684
|Blackwood
| Blackwood
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|10\105
| 10\105
|
|  
|
|  
|114.286
| 114.286
|Blackwood
| Blackwood
|-
|-
|1\10
| 1\10
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|120
| 120
|Blackwood
| Blackwood
|}
|}