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 | ! 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 | | | ||
| | |||
| | |||
| 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 | ||
|} | |} | ||