Map of rank-2 temperaments: Difference between revisions
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Please make sure each fraction of an octave is always the [[mediant|mediant]] of the ones directly above and below. | Please make sure each fraction of an octave is always the [[mediant|mediant]] of the ones directly above and below. | ||
==One period per octave== | == One period per octave == | ||
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]]. | ||
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|} | |} | ||
==Three periods per octave== | == Three periods per octave == | ||
{{todo|complete table|comment=Add hemisemiaug (optimal ETs 18, 24, 42), add landscape microtemperaments}} | {{todo|complete table|comment=Add hemisemiaug (optimal ETs 18, 24, 42), add landscape microtemperaments}} | ||
{| class="wikitable sortable mw-collapsible" | {| class="wikitable sortable mw-collapsible" | ||
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|} | |} | ||
==Four periods per octave== | == Four periods per octave == | ||
{| class="wikitable sortable mw-collapsible" | {| class="wikitable sortable mw-collapsible" | ||
! colspan="6" | Generator | ! colspan="6" | Generator | ||
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|} | |} | ||
==Five periods per octave== | == Five periods per octave == | ||
{{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" | ||
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| | | | ||
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|- | |- | ||
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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 | ! colspan="7" | Generator | ||
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|} | |} | ||
==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)}} | ||
{| class="wikitable sortable mw-collapsible" | {| class="wikitable sortable mw-collapsible" | ||
| Line 3,283: | Line 3,283: | ||
|} | |} | ||
==Eight periods per octave== | == Eight periods per octave == | ||
{{todo|complete table|comment=Add Twilight temperament (optimal ETs 152, 328, 480, 808) and Octium temperament (472, 1400, 1872)}} | {{todo|complete table|comment=Add Twilight temperament (optimal ETs 152, 328, 480, 808) and Octium temperament (472, 1400, 1872)}} | ||
{| class="wikitable sortable mw-collapsible" | {| class="wikitable sortable mw-collapsible" | ||
| Line 3,603: | Line 3,603: | ||
|} | |} | ||
==Nine periods per octave == | == Nine periods per octave == | ||
{| class="wikitable sortable mw-collapsible" | {| class="wikitable sortable mw-collapsible" | ||
! colspan="8" | Generator | ! colspan="8" | Generator | ||
| Line 3,885: | Line 3,885: | ||
|} | |} | ||
==Twelve periods per octave== | == Twelve periods per octave == | ||
See also | {{See also|[[Compton family]]}} | ||
{| class="wikitable sortable mw-collapsible" | {| class="wikitable sortable mw-collapsible" | ||
! colspan="8" | Generator | ! colspan="8" | Generator | ||
| Line 4,412: | Line 4,411: | ||
== See also == | == See also == | ||
* [[Fractional-octave temperaments]]: Lists dozens more temperaments beyond what can be listed here. | |||
*[[Fractional-octave temperaments]]: Lists dozens more temperaments beyond what can be listed here. | |||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
[[Category:Lists of temperaments]] | [[Category:Lists of temperaments]] | ||
Revision as of 14:53, 9 September 2024
This is intended to be a map of all interesting rank-2 temperaments that are compatible with octave equivalence. The only rank-2 temperaments not appearing here should be ones like Bohlen-Pierce that completely lack octaves.
Please make sure each fraction of an octave is always the mediant of the ones directly above and below.
One period per octave
Since this is the largest subset, it has its own page: map of linear temperaments.
Two periods per octave
| Generator | Cents | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0\2 | 0.000 | |||||||||
| 1\26 | 46.154 | |||||||||
| 1\24 | 50.000 | Shrutar | ||||||||
| 2\46 | 52.174 | Shrutar | ||||||||
| 1\22 | 54.545 | Shrutar | ||||||||
| 1\20 | 60.000 | |||||||||
| 1\18 | 66.667 | |||||||||
| 2\34 | 70.588 | Vishnu | ||||||||
| 7\118 | 71.186 | Vishnu | ||||||||
| 5\84 | 71.429 | Vishnu | ||||||||
| 3\50 | 72.000 | |||||||||
| 1\16 | 75.000 | |||||||||
| 2\30 | 80.000 | |||||||||
| 3\44 | 81.818 | |||||||||
| 4\58 | 82.759 | Harry | ||||||||
| 9\130 | 83.077 | Harry | ||||||||
| 5\72 | 83.333 | Harry | ||||||||
| 1\14 | 85.714 | |||||||||
| 2\26 | 92.308 | Injera | ||||||||
| 3\38 | 94.737 | Injera | ||||||||
| 1\12 | 100.000 | Injera/Diaschismic | ||||||||
| 5\58 | 103.448 | Diaschismic | ||||||||
| 4\46 | 104.348 | Diaschismic/Srutal | ||||||||
| 7\80 | 105.000 | Srutal | ||||||||
| 3\34 | 105.882 | Srutal/Pajara | ||||||||
| 5\56 | 107.143 | Pajara | ||||||||
| 2\22 | 109.091 | Pajara | ||||||||
| 3\32 | 112.500 | |||||||||
| 1\10 | 120.000 | Octokaidecal | ||||||||
| 3\28 | 128.571 | Octokaidecal | ||||||||
| 2\18 | 133.333 | Octokaidecal | ||||||||
| 3\26 | 138.462 | |||||||||
| 6\60 | 140.000 | |||||||||
| 11\94 | 140.126 | Fifive | ||||||||
| 15\128 | 140.625 | Fifive | ||||||||
| 4\34 | 141.176 | Fifive | ||||||||
| 5\42 | 142.857 | |||||||||
| 1\8 | 150.000 | |||||||||
| 4\30 | 160.000 | |||||||||
| 3\22 | 163.636 | Hedgehog/Echidna | ||||||||
| 11\80 | 165.000 | Hedgehog/Echidna | ||||||||
| 8\58 | 165.517 | Hedgehog/Echidna | ||||||||
| 5\36 | 166.667 | |||||||||
| 2\14 | 171.429 | |||||||||
| 3\20 | 180.000 | |||||||||
| 7\46 | 182.609 | Unidec/Hendec | ||||||||
| 11\72 | 183.333 | Unidec/Hendec | ||||||||
| 4\26 | 184.615 | Unidec/Hendec | ||||||||
| 5\32 | 187.500 | |||||||||
| 1\6 | 200.000 | |||||||||
| 6\34 | 211.765 | |||||||||
| 5\28 | 214.286 | Antikythera | ||||||||
| 9\50 | 216.000 | Antikythera/Wizard | ||||||||
| 13\72 | 216.667 | Antikythera/Wizard | ||||||||
| 4\22 | 218.182 | Antikythera/Wizard/Astrology | ||||||||
| 15\82 | 219.512 | Astrology | ||||||||
| 11\60 | 220.000 | Astrology | ||||||||
| 7\38 | 221.053 | |||||||||
| 225.000 | Lemba | |||||||||
| 5\26 | 230.769 | Lemba | ||||||||
| 12\62 | 232.258 | Lemba | ||||||||
| 7\36 | 233.333 | |||||||||
| 9\46 | 234.783 | Echidnic | ||||||||
| 29\148 | 235.135 | Echidnic | ||||||||
| 20\102 | 235.294 | Echidnic | ||||||||
| 11\56 | 235.714 | |||||||||
| 2\10 | 240.000 | Decimal | ||||||||
| 5\24 | 250.000 | Decimal | ||||||||
| 8\38 | 252.632 | Decimal | ||||||||
| 257.143 | Decimal | |||||||||
| 4\18 | 266.667 | |||||||||
| 5\22 | 272.727 | Doublewide | ||||||||
| 16\70 | 274.286 | Doublewide | ||||||||
| 11\48 | 275.000 | Doublewide | ||||||||
| 6\26 | 276.923 | |||||||||
| 1\4 | 300.000 | |||||||||
Three periods per octave
| Generator | Cents | Comments | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0\3 | 0.000 | ||||||||||
| 1\30 | 40.000 | ||||||||||
| 1\27 | 44.444 | Semiaug | |||||||||
| 2\51 | 47.059 | Semiaug | |||||||||
| 1\24 | 50.000 | Semiaug/Hemiug | |||||||||
| 2\45 | 53.333 | Hemiug | |||||||||
| 1\21 | 57.143 | Hemiug | |||||||||
| 1\18 | 66.667 | ||||||||||
| 1\15 | 80.000 | ||||||||||
| 6\87 | 82.759 | ||||||||||
| 11\159 | 83.019 | Tritikleismic | |||||||||
| 16\231 | 83.117 | Tritikleismic | |||||||||
| 5\72 | 83.333 | Tritikleismic | |||||||||
| 4\57 | 84.211 | Tritikleismic | |||||||||
| 3\42 | 85.714 | ||||||||||
| 2\27 | 88.889 | Augmented/Augene | |||||||||
| 3\39 | 92.308 | Augmented/Augene/Fog | |||||||||
| 4\51 | 94.118 | Augmented/Augene/Fog | |||||||||
| 5\63 | 95.238 | Augmented/Augene/Fog | |||||||||
| 11\138 | 95.652 | Augmented Augene/Fog | |||||||||
| 6\75 | 96 | Augmented/Augene/Fog | |||||||||
| 7\87 | 96.552 | Augmented/Augene/Misty | |||||||||
| 15\186 | 96.774 | Augmented/Augene/Misty | |||||||||
| 8\99 | 96.97 | Augmented/Augene/Misty | |||||||||
| 1\12 | 100.000 | Augmented/Augene/August | |||||||||
| 3\33 | 109.091 | August | |||||||||
| 2\21 | 114.286 | August | |||||||||
| 3\30 | 120.000 | ||||||||||
| 1\9 | 133.333 | ||||||||||
| 4\33 | 145.455 | ||||||||||
| 3\24 | 150.000 | Triforce | |||||||||
| 5\39 | 153.846 | Triforce | |||||||||
| 2\15 | 160.000 | Triforce | |||||||||
| 3\21 | 171.429 | Oodako | |||||||||
| 7\48 | 175 | Oodako | |||||||||
| 11\75 | 176 | Oodako | |||||||||
| 15\102 | 176.471 | Oodako | |||||||||
| 19\129 | 176.744 | Oodako | |||||||||
| 4\27 | 177.778 | Oodako | |||||||||
| 1\6 | 200.000 | ||||||||||
Four periods per octave
| Generator | Cents | Comments | |||||
|---|---|---|---|---|---|---|---|
| 0\4 | 0 | ||||||
| 1\76 | 15.789 | ||||||
| 1\72 | 16.667 | Quadritikleismic | |||||
| 3\212 | 16.981 | Quadritikleismic | |||||
| 2\140 | 17.143 | Quadritikleismic | |||||
| 1\68 | 17.647 | Quadritikleismic | |||||
| 1\64 | 18.75 | ||||||
| 1\60 | 20 | ||||||
| ... | ... | ||||||
| 1\36 | 33.333 | ||||||
| 1\32 | 37.5 | ||||||
| 1\28 | 42.857 | ||||||
| 2\52 | 46.154 | Hemidim | |||||
| 3\76 | 47.368 | Hemidim | |||||
| 1\24 | 50 | Hemidim/Darian calendar | |||||
| 1\20 | 60 | ||||||
| 1\16 | 75 | ||||||
| 2\28 | 85.714 | Demolished | |||||
| 3\40 | 90 | Demolished | |||||
| 1\12 | 100 | Demolished/Diminished | |||||
| 14\164 | 102.439 | Diminished | |||||
| 27\316 | 102.532 | Diminished/Unlit | |||||
| 40\468 | 102.564 | Diminished/Unlit | |||||
| 13\152 | 102.632 | Diminished/Unlit/Undim | |||||
| 38\444 | 102.703 | Diminished/Undim | |||||
| 25\292 | 102.740 | Diminished/Undim | |||||
| 12\140 | 102.857 | Diminished/Undim | |||||
| 11\128 | 103.125 | Diminished | |||||
| 10\116 | 103.448 | Diminished | |||||
| 9\104 | 103.846 | Diminished | |||||
| 8\92 | 104.348 | Diminished | |||||
| 7\80 | 105 | Diminished/Bidia | |||||
| 20\228 | 105.263 | Diminished/Bidia | |||||
| 13\148 | 105.405 | Diminished/Bidia | |||||
| 6\68 | 105.882 | Diminished/Bidia | |||||
| 5\56 | 107.143 | Diminished/Bidia | |||||
| 4\44 | 109.091 | Diminished | |||||
| 3\32 | 112.5 | Diminished | |||||
| 2\20 | 120 | Diminished | |||||
| 3\28 | 128.571 | ||||||
| 1\8 | 150 | ||||||
Five periods per octave
| Generator | Cents | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0\5 | 0 | |||||||||
| 1\140 | 8.571 | |||||||||
| 1\135 | 8.889 | Slendrismic | ||||||||
| 3\400 | 9 | Slendrismic | ||||||||
| 5\665 | 9.023 | Slendrismic | ||||||||
| 2\265 | 9.057 | Slendrismic | ||||||||
| 1\130 | 9.231 | Slendrismic/Hemipental | ||||||||
| 4\515 | 9.32 | Hemipental | ||||||||
| 3\385 | 9.351 | Hemipental | ||||||||
| 5\640 | 9.375 | Hemipental | ||||||||
| 2\255 | 9.412 | Hemipental | ||||||||
| 1\125 | 9.6 | Hemipental | ||||||||
| 1\120 | 10 | |||||||||
| 1\115 | 10.435 | |||||||||
| 1\70 | 17.143 | |||||||||
| 1\65 | 18.462 | Pental | ||||||||
| 4\255 | 18.824 | Pental | ||||||||
| 3\190 | 18.947 | Pental | ||||||||
| 5\315 | 19.048 | Pental | ||||||||
| 2\125 | 19.2 | Pental | ||||||||
| 3\185 | 19.459 | Pental | ||||||||
| 1\60 | 20 | Pental | ||||||||
| 1\55 | 21.818 | |||||||||
| 1\50 | 24 | |||||||||
| 1\45 | 26.67 | |||||||||
| 1\40 | 30 | |||||||||
| 1\35 | 34.286 | |||||||||
| 1\30 | 40 | |||||||||
| 1\25 | 48 | |||||||||
| 1\20 | 60 | |||||||||
| 2\35 | 68.571 | Coblack | ||||||||
| 5\85 | 70.588 | Coblack | ||||||||
| 3\50 | 72 | Coblack | ||||||||
| 7\115 | 73.043 | Coblack | ||||||||
| 4\65 | 73.846 | Coblack | ||||||||
| 1\15 | 80 | Blackwood/Blacksmith | ||||||||
| 5\70 | 85.714 | Blackwood/Blacksmith | ||||||||
| 4\55 | 87.273 | Blackwood/Blacksmith | ||||||||
| 7\95 | 88.421 | Blackwood/Blacksmith | ||||||||
| 3\40 | 90 | Blackwood/Blacksmith | ||||||||
| 8\105 | 91.429 | Blackwood/Blacksmith | ||||||||
| 5\65 | 92.308 | Blackwood/Blacksmith | ||||||||
| 7\90 | 93.333 | Blackwood/Blacksmith | ||||||||
| 2\25 | 96 | Blackwood/Blacksmith | ||||||||
| 5\60 | 100 | Blackwood | ||||||||
| 8\95 | 101.053 | Blackwood | ||||||||
| 3\35 | 102.857 | Blackwood | ||||||||
| 7\80 | 105 | Blackwood | ||||||||
| 4\45 | 106.667 | Blackwood | ||||||||
| 5\55 | 109.091 | Blackwood | ||||||||
| 6\65 | 110.769 | Blackwood/Quintosec/Sengasec | ||||||||
| 25\270 | 111.111 | Blackwood/Quintosec/Sengasec/Qintosec | ||||||||
| 19\205 | 111.220 | Blackwood/Quintosec/SengasecQintosec | ||||||||
| 13\140 | 111.429 | Blackwood/Quintosec/Sengasec/Qintosec | ||||||||
| 20\215 | 111.628 | Blackwood/Qintosec | ||||||||
| 7\75 | 112 | Blackwood/Qinto | ||||||||
| 15\160 | 112.5 | Blackwood/Qinto | ||||||||
| 8\85 | 112.941 | Blackwood/Elderthing | ||||||||
| 9\95 | 113.684 | Blackwood | ||||||||
| 10\105 | 114.286 | Blackwood | ||||||||
| 1\10 | 120 | Blackwood | ||||||||
Six periods per octave
| Generator | Cents | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| 0\6 | 0 | |||||||
| 1\288 | 4.167 | |||||||
| 1\282 | 4.255 | |||||||
| 1\276 | 2\552 | 4.348 | Sextile | |||||
| 3\822 | 4.380 | Sextile | ||||||
| 4\1092 | 4.396 | Sextile | ||||||
| 1\270 | 4.444 | Sextile | ||||||
| 1\264 | 4.545 | |||||||
| ... | ... | |||||||
| 1\90 | 13.333 | |||||||
| 1\84 | 14.286 | |||||||
| 1\78 | 15.385 | |||||||
| 1\72 | 16.667 | Stearnscape | ||||||
| 4\282 | 17.021 | Stearnscape | ||||||
| 3\210 | 17.143 | Stearnscape | ||||||
| 2\138 | 17.391 | |||||||
| 1\66 | 18.182 | |||||||
| 1\60 | 20 | |||||||
| 1\54 | 22.222 | |||||||
| 1\48 | 25 | |||||||
| 1\42 | 28.571 | |||||||
| 1\36 | 33.333 | |||||||
| 1\30 | 40 | |||||||
| 1\24 | 50 | |||||||
| 1\18 | 66.667 | |||||||
| 2\30 | 80 | Hexe | ||||||
| 5\72 | 83.333 | Hexe | ||||||
| 3\42 | 85.714 | Hexe | ||||||
| 4\54 | 88.889 | Hexe | ||||||
| 1\12 | 100 | Hexe | ||||||
Seven periods per octave
| Generator | Cents | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|
| 0\7 | 0 | ||||||||
| 1\91 | 13.187 | ||||||||
| 1\84 | 14.286 | Absurdity | |||||||
| 4\329 | 14.59 | Absurdity | |||||||
| 3\245 | 14.69 | ||||||||
| 2\161 | 14.907 | ||||||||
| 1\77 | 15.584 | Septant | |||||||
| 4\301 | 15.947 | Septant | |||||||
| 3\224 | 16.071 | Septant | |||||||
| 2\147 | 16.327 | Septant | |||||||
| 1\70 | 17.143 | ||||||||
| 1\63 | 19.048 | Sevond | |||||||
| 2\119 | 20.168 | Sevond | |||||||
| 1\56 | 21.429 | Sevond | |||||||
| 1\49 | 24.49 | ||||||||
| 1\42 | 28.571 | Neutron | |||||||
| 3\119 | 30.252 | Neutron | |||||||
| 5\196 | 30.612 | Neutron | |||||||
| 7\273 | 30.769 | Neutron | |||||||
| 2\77 | 31.169 | Neutron | |||||||
| 1\35 | 34.286 | Redwood | |||||||
| 2\63 | 38.095 | Redwood | |||||||
| 1\28 | 42.857 | Redwood/Whitewood | |||||||
| 3\77 | 46.753 | Whitewood | |||||||
| 2\49 | 48.980 | Whitewood | |||||||
| 3\70 | 51.429 | Whitewood | |||||||
| 1\21 | 57.143 | Whitewood/Jamesbond/Septimal | |||||||
| 4\77 | 62.338 | Jamesbond/Septimal | |||||||
| 3\56 | 64.286 | Jamesbond/Septimal | |||||||
| 5\91 | 65.934 | Jamesbond/Septimal | |||||||
| 2\35 | 68.571 | Jamesbond/Septimal/Greenwood | |||||||
| 5\84 | 71.429 | Jamesbond/Septimal/Greenwood | |||||||
| 3\49 | 73.469 | Jamesbond/Septimal/Greenwood | |||||||
| 4\63 | 76.190 | Jamesbond/Septimal/Greenwood | |||||||
| 1\14 | 85.714 | Jamesbond/Septimal/Greenwood | |||||||
Eight periods per octave
| Generator | Cents | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0\8 | 0 | |||||||||
| 1\80 | 15 | |||||||||
| 2\152 | 15.789 | Octoid | ||||||||
| 3\224 | 16.071 | Octoid | ||||||||
| 1\72 | 16.667 | Octoid | ||||||||
| 1\64 | 18.75 | |||||||||
| 1\56 | 21.429 | |||||||||
| 1\48 | 25 | |||||||||
| 1\40 | 30 | |||||||||
| 2\72 | 33.333 | |||||||||
| 1\32 | 37.5 | Semidim | ||||||||
| 3\88 | 40.909 | Semidim | ||||||||
| 2\56 | 42.857 | Semidim | ||||||||
| 3\80 | 45 | Semidim | ||||||||
| 4\104 | 46.154 | Semidim | ||||||||
| 5\128 | 46.875 | Semidim | ||||||||
| 6\152 | 47.368 | Semidim | ||||||||
| 7\176 | 47.727 | Semidim | ||||||||
| 8\200 | 48 | Semidim | ||||||||
| 9\224 | 48.214 | Semidim/Octant | ||||||||
| 28\696 | 48.276 | Semidim/Octant | ||||||||
| 19\472 | 48.305 | Semidim/Octant | ||||||||
| 10\248 | 48.387 | Semidim | ||||||||
| 1\24 | 50 | Semidim | ||||||||
| 2\40 | 60 | |||||||||
| 1\16 | 75 | |||||||||
Nine periods per octave
| Generator | Cents | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|
| 0\9 | 0 | ||||||||
| 1\72 | 16.667 | Enneaportent | |||||||
| 4\279 | 17.204 | Enneaportent | |||||||
| 3\207 | 17.391 | Enneaportent | |||||||
| 2\135 | 17.778 | Enneaportent | |||||||
| 1\63 | 19.048 | Enneaportent | |||||||
| 1\54 | 22.222 | ||||||||
| 1\45 | 26.667 | ||||||||
| 1\36 | 33.333 | No-five tritrizo | |||||||
| 4\135 | 35.556 | No-five tritrizo | |||||||
| 3\99 | 36.364 | No-five tritrizo | |||||||
| 2\63 | 38.095 | Niner | |||||||
| 3\90 | 40 | Niner | |||||||
| 1\27 | 44.444 | Niner | |||||||
| 4\99 | 48.485 | Ennealimmal | |||||||
| 7\171 | 49.123 | Ennealimmal | |||||||
| 3\72 | 50 | Ennealimmal | |||||||
| 20\477 | 50.314 | Novemkleismic | |||||||
| 17\405 | 50.370 | Novemkleismic | |||||||
| 14\333 | 50.451 | Novemkleismic | |||||||
| 11\261 | 50.575 | Novemkleismic | |||||||
| 8\189 | 50.794 | Novemkleismic | |||||||
| 5\117 | 51.282 | ||||||||
| 2\45 | 53.333 | ||||||||
| 1\18 | 66.667 | ||||||||
Twelve periods per octave
| Generator | Cents | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|
| 0\12 | 0 | ||||||||
| 1\636 | 1.887 | ||||||||
| 1\624 | 1.923 | ||||||||
| 2\1236 | 1.942 | Atomic | |||||||
| 3\1848 | 1.948 | Atomic | |||||||
| 4\2460 | 1.951 | Atomic | |||||||
| 5\3072 | 1.953 | Atomic | |||||||
| 1\612 | 1.961 | Atomic | |||||||
| 1\600 | 2 | ||||||||
| 1\588 | 2.041 | ||||||||
| 1\576 | 2.083 | ||||||||
| ... | ... | ||||||||
| 1\108 | 11.111 | ||||||||
| 1\96 | 12.5 | Compton | |||||||
| 1\84 | 14.286 | Compton | |||||||
| 3\240 | 15 | Compton | |||||||
| 8\636 | 15.094 | Compton | |||||||
| 5\396 | 15.152 | Compton | |||||||
| 7\552 | 15.217 | Compton | |||||||
| 2\156 | 15.385 | Compton | |||||||
| 7\540 | 15.556 | Compton | |||||||
| 5\384 | 15.625 | Compton | |||||||
| 8\612 | 15.686 | Compton | |||||||
| 3\228 | 15.789 | Compton | |||||||
| 7\528 | 15.909 | Compton | |||||||
| 4\300 | 16 | Compton | |||||||
| 5\372 | 16.129 | Compton | |||||||
| 1\72 | 16.667 | Compton | |||||||
| 1\60 | 20 | Compton | |||||||
| 2\108 | 22.222 | ||||||||
| 1\48 | 25 | Catler | |||||||
| 3\132 | 27.273 | Catler | |||||||
| 2\84 | 28.571 | Catler | |||||||
| 3\120 | 30 | Catler | |||||||
| 1\36 | 33.333 | Catler/Catnip | |||||||
| 4\132 | 36.364 | Catnip | |||||||
| 3\96 | 37.5 | Catnip | |||||||
| 5\156 | 38.462 | Catnip | |||||||
| 2\60 | 40 | Catnip | |||||||
| 5\144 | 41.667 | ||||||||
| 3\84 | 42.857 | Magnesium | |||||||
| 16\444 | 43.243 | Magnesium | |||||||
| 13\360 | 43.333 | Magnesium | |||||||
| 10\276 | 43.378 | ||||||||
| 7\192 | 43.75 | ||||||||
| 4\108 | 44.444 | ||||||||
| 1\24 | 50 | ||||||||
See also
- Fractional-octave temperaments: Lists dozens more temperaments beyond what can be listed here.