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Map of rank-2 temperaments: Difference between revisions

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==Six periods per octave ==
==Six periods per octave ==
{| class="wikitable sortable mw-collapsible"
{| class="wikitable sortable mw-collapsible"
! colspan="7" |Generator!!Cents !!Comments
! colspan="7" | Generator
! Cents
! Comments
|-
|-
|0\6||  || ||  
| 0\6
|
|   
|
|  
|||0||
|  
|  
|  
|  
| 0
|  
|-
|-
|
|  
|
|  
|
|  
|1\288
| 1\288
|
|  
|
|  
|
|  
|4.167
| 4.167
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\282
| 1\282
|
|  
|
|  
|
|  
|4.255
| 4.255
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\276
| 1\276
|2\552
| 2\552
|
|  
|
|  
|4.348
| 4.348
|[[Sextile]]
| [[Sextile]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|3\822
| 3\822
|
|  
|4.380
| 4.380
|Sextile
| Sextile
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|4\1092
| 4\1092
|4.396
| 4.396
|Sextile
| Sextile
|-
|-
|
|  
|
|  
|
|  
|1\270
| 1\270
|
|  
|
|  
|
|  
|4.444
| 4.444
|Sextile
| Sextile
|-
|-
|
|  
|
|  
|
|  
|1\264
| 1\264
|
|  
|
|  
|
|  
|4.545
| 4.545
|
|  
|-
|-
|
|  
|
|  
|
|  
|...
| ...
|
|  
|
|  
|
|  
|...
| ...
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\90
| 1\90
|
|  
|
|  
|
|  
|13.333
| 13.333
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\84
| 1\84
|
|  
|
|  
|
|  
|14.286
| 14.286
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\78
| 1\78
|
|  
|
|  
|
|  
|15.385
| 15.385
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\72
| 1\72
|
|  
|
|  
|
|  
|16.667
| 16.667
|[[Stearnscape]]
| [[Stearnscape]]
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|4\282
| 4\282
|17.021
| 17.021
|Stearnscape
| Stearnscape
|-
|-
|
|  
|
|  
|
|  
|
|  
|
|  
|3\210
| 3\210
|
|  
|17.143
| 17.143
|Stearnscape
| Stearnscape
|-
|-
|
|  
|
|  
|
|  
|
|  
|2\138
| 2\138
|
|  
|
|  
|17.391
| 17.391
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\66
| 1\66
|
|  
|
|  
|
|  
|18.182
| 18.182
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\60
| 1\60
|
|  
|
|  
|
|  
|20
| 20
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\54
| 1\54
|
|  
|
|  
|
|  
|22.222
| 22.222
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\48
| 1\48
|
|  
|
|  
|
|  
|25
| 25
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\42
| 1\42
|
|  
|
|  
|
|  
|28.571
| 28.571
|
|  
|-
|-
|
|  
|
|  
|
|  
|1\36
| 1\36
|
|  
|
|  
|
|  
|33.333
| 33.333
|
|  
|-
|-
|
|  
|
|  
|1\30
| 1\30
|
|  
|
|  
|
|  
|
|  
|40
| 40
|
|  
|-
|-
|
|  
|1\24
| 1\24
|
|  
|
|  
|
|  
|
|  
|
|  
|50
| 50
|  
|  
|-
|-
|1\18
| 1\18
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
| 66.667
| 66.667
|
|  
|-
|-
|
|  
|2\30
| 2\30
|
|  
|
|  
|
|  
|
|  
|
|  
| 80
| 80
|[[Hexe]]
| [[Hexe]]
|-
|-
|
|  
|
|  
|
|  
|5\72
| 5\72
|
|  
|
|  
|
|  
|83.333
| 83.333
|Hexe
| Hexe
|-
|-
|
|  
|
|  
|3\42
| 3\42
|
|  
|
|  
|
|  
|
|  
|85.714
| 85.714
| Hexe
| Hexe
|-
|-
|
|  
|
|  
|
|  
|4\54
| 4\54
|
|  
|
|  
|
|  
|88.889
| 88.889
|Hexe
| Hexe
|-
|-
|1\12
| 1\12
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
| 100
| 100
|Hexe
| Hexe
|}
|}
==Seven periods per octave==
==Seven periods per octave==
{{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)}}
Retrieved from "https://en.xen.wiki/w/Map_of_rank-2_temperaments"