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Map of rank-2 temperaments: Difference between revisions

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{{todo|complete table|comment=add akjaysmic (optimal ETs 140, 224, 301), nitrogen (140, 1407, 1547) and brahmagupta (217, 224, 441, 665)}}
{{todo|complete table|comment=add akjaysmic (optimal ETs 140, 224, 301), nitrogen (140, 1407, 1547) and brahmagupta (217, 224, 441, 665)}}
{| class="wikitable sortable mw-collapsible"
{| class="wikitable sortable mw-collapsible"
! colspan="8" |Generator!! Cents!!Comments
! colspan="8" | Generator
! Cents
! Comments
|-
|-
| 0\7||  || ||
| 0\7
|
|   
|
|  
|
|  
| ||0||
|  
|  
|  
|  
| 0
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\91
| 1\91
|
|  
|
|  
|
|  
|13.187
| 13.187
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\84
| 1\84
|
|  
|
|  
|
|  
|14.286
| 14.286
|[[Absurdity]]
| [[Absurdity]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|4\329
| 4\329
|14.59
| 14.59
|Absurdity
| Absurdity
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|3\245
| 3\245
|
|  
|14.69
| 14.69
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|2\161
| 2\161
|
|  
|
|  
|14.907
| 14.907
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\77
| 1\77
|
|  
|
|  
|
|  
|15.584
| 15.584
|[[Septant]]
| [[Septant]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|4\301
| 4\301
|15.947
| 15.947
|Septant
| Septant
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|3\224
| 3\224
|
|  
|16.071
| 16.071
|Septant
| Septant
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|2\147
| 2\147
|
|  
|
|  
|16.327
| 16.327
|Septant
| Septant
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\70
| 1\70
|
|  
|
|  
|
|  
|17.143
| 17.143
|
|  
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\63
| 1\63
|
|  
|
|  
|
|  
|19.048
| 19.048
|[[Sevond]]
| [[Sevond]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|2\119
| 2\119
|
|  
|
|  
|20.168
| 20.168
|Sevond
| Sevond
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\56
| 1\56
|
|  
|
|  
|
|  
|21.429
| 21.429
|Sevond
| Sevond
|-
|-
|
|  
|
|  
|
|  
|
|  
|1\49
| 1\49
|
|  
|
|  
|
|  
|24.49
| 24.49
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\42
| 1\42
|
|  
|
|  
|
|  
|
|  
|28.571
| 28.571
|[[Mistismic temperaments#Neutron|Neutron]]
| [[Mistismic temperaments#Neutron|Neutron]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|3\119
| 3\119
|
|  
|
|  
|30.252
| 30.252
|Neutron
| Neutron
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|5\196
| 5\196
|
|  
|30.612
| 30.612
|Neutron
| Neutron
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|7\273
| 7\273
|30.769
| 30.769
|Neutron
| Neutron
|-
|-
|
|  
|
|  
|
|  
|
|  
|2\77
| 2\77
|
|  
|
|  
|
|  
|31.169
| 31.169
|Neutron
| Neutron
|-
|-
|
|  
|
|  
|1\35
| 1\35
|
|  
|
|  
|
|  
|
|  
|
|  
|34.286
| 34.286
|[[Whitewood family#Redwood|Redwood]]
| [[Whitewood family#Redwood|Redwood]]
|-
|-
|
|  
|
|  
|
|  
| 2\63
| 2\63
|
|  
|
|  
|
|  
|
|  
|38.095
| 38.095
|Redwood
| Redwood
|-
|-
|
|  
| 1\28
| 1\28
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|42.857
| 42.857
|Redwood/[[Whitewood]]
| Redwood/[[Whitewood]]
|-
|-
|
|  
|
|  
|
|  
| 3\77
| 3\77
|
|  
|
|  
|
|  
|
|  
| 46.753
| 46.753
|Whitewood
| Whitewood
|-
|-
|
|  
|
|  
|2\49
| 2\49
|
|  
|
|  
|
|  
|
|  
|
|  
|48.980
| 48.980
|Whitewood
| Whitewood
|-
|-
|
|  
|
|  
|
|  
|3\70
| 3\70
|
|  
|
|  
|
|  
|
|  
| 51.429
| 51.429
|Whitewood
| Whitewood
|-
|-
|1\21
| 1\21
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|57.143
| 57.143
|Whitewood/[[Jamesbond]]/[[7th-octave temperaments#Septimal|Septimal]]
| Whitewood/[[Jamesbond]]/[[7th-octave temperaments#Septimal|Septimal]]
|-
|-
|
|  
|
|  
|
|  
| 4\77
| 4\77
|
|  
|
|  
|
|  
|
|  
|62.338
| 62.338
|Jamesbond/Septimal
| Jamesbond/Septimal
|-
|-
|
|  
|
|  
|3\56
| 3\56
|
|  
|
|  
|
|  
|
|  
|
|  
|64.286
| 64.286
| Jamesbond/Septimal
| Jamesbond/Septimal
|-
|-
|
|  
|
|  
|
|  
|5\91
| 5\91
|
|  
|
|  
|
|  
|
|  
|65.934
| 65.934
|Jamesbond/Septimal
| Jamesbond/Septimal
|-
|-
|
|  
|2\35
| 2\35
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
| 68.571
| 68.571
|Jamesbond/Septimal/[[Greenwood]]
| Jamesbond/Septimal/[[Greenwood]]
|-
|-
|
|  
|
|  
|
|  
|5\84
| 5\84
|
|  
|
|  
|
|  
|
|  
|71.429
| 71.429
|Jamesbond/Septimal/Greenwood
| Jamesbond/Septimal/Greenwood
|-
|-
|
|  
|
|  
|3\49
| 3\49
|
|  
|
|  
|
|  
|
|  
|
|  
| 73.469
| 73.469
|Jamesbond/Septimal/Greenwood
| Jamesbond/Septimal/Greenwood
|-
|-
|
|  
|
|  
|
|  
|4\63
| 4\63
|
|  
|
|  
|
|  
|
|  
|76.190
| 76.190
|Jamesbond/Septimal/Greenwood
| Jamesbond/Septimal/Greenwood
|-
|-
| 1\14
| 1\14
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|85.714
| 85.714
|Jamesbond/Septimal/Greenwood
| Jamesbond/Septimal/Greenwood
|}
|}


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