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Rank-2 temperaments by mapping of 3: Difference between revisions

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21,534 edits
Added links to all temperament names. Added todo remove manual line breaks.
Line 13: Line 13:
[<5 8...], <0 0...]>
[<5 8...], <0 0...]>


<ul><li>Blacksmith</li><li>Blackwood</li></ul>
<ul><li>[[Blacksmith]]</li><li>[[Blackwood]]</li></ul>


[&lt;7 11...], &lt;0 0...]&gt;
[&lt;7 11...], &lt;0 0...]&gt;


<ul><li>Jamesbond</li><li>Septimal</li><li>Whitewood</li></ul>
<ul><li>[[Jamesbond]]</li><li>[[Septimal]]</li><li>[[Whitewood]]</li></ul>


[&lt;12 19...], &lt;0 0...]&gt;
[&lt;12 19...], &lt;0 0...]&gt;


<ul><li>Catler</li><li>Compton</li></ul>
<ul><li>[[Catler]]</li><li>[[Compton]]</li></ul>


[&lt;29 46...], &lt;0 0...]&gt;
[&lt;29 46...], &lt;0 0...]&gt;


<ul><li>Mystery</li></ul>
<ul><li>[[Mystery]]</li></ul>


==Complexity 1==
==Complexity 1==
Line 35: Line 35:
[&lt;1 2...], &lt;0 -1...]&gt;
[&lt;1 2...], &lt;0 -1...]&gt;


<ul><li>Cassandra</li><li>Dominant</li><li>Father</li><li>Garibaldi</li><li>Helmholtz</li><li>Mavila</li><li>Meanenneadecal</li><li>Meanpop</li><li>Meantone</li><li>Nestoria</li><li>Pepperoni</li><li>Photia</li><li>Schismatic</li><li>Superpyth</li><li>Supra</li><li>Supraphon</li><li>Suprapyth</li></ul>
<ul><li>[[Cassandra]]</li><li>[[Dominant]]</li><li>[[Father]]</li><li>[[Garibaldi]]</li><li>[[Helmholtz]]</li><li>[[Mavila]]</li><li>[[Meanenneadecal]]</li><li>[[Meanpop]]</li><li>[[Meantone]]</li><li>[[Nestoria]]</li><li>[[Pepperoni]]</li><li>[[Photia]]</li><li>[[Schismatic]]</li><li>[[Superpyth]]</li><li>[[Supra]]</li><li>[[Supraphon]]</li><li>Suprapyth</li></ul>


==Complexity 2==
==Complexity 2==
Line 47: Line 47:
[&lt;1 2...], &lt;0 -2...]&gt;
[&lt;1 2...], &lt;0 -2...]&gt;


<ul><li>Barbados</li><li>Beep</li><li>Bridgetown</li><li>Bug</li><li>Godzilla</li><li>Semaphore</li><li>Superpelog</li></ul>
<ul><li>[[Barbados]]</li><li>[[Beep]]</li><li>[[Bridgetown]]</li><li>[[Bug]]</li><li>[[Godzilla]]</li><li>[[Semaphore]]</li><li>[[Superpelog]]</li></ul>


And the second splits 3/2 into two ~350 cent "neutral thirds". Mandatory MOSes include 3, 4, and 7.
And the second splits 3/2 into two ~350 cent "neutral thirds". Mandatory MOSes include 3, 4, and 7.
Line 53: Line 53:
[&lt;1 1...], &lt;0 2...]&gt;
[&lt;1 1...], &lt;0 2...]&gt;


<ul><li>Beatles</li><li>Dicot</li><li>Hemif</li><li>Hemififths</li><li>Maqamic</li><li>Migration</li><li>Mohaha</li><li>Mohajira</li><li>Mohoho</li><li>Vicentino</li></ul>
<ul><li>[[Beatles]]</li><li>[[Dicot]]</li><li>[[Hemif]]</li><li>[[Hemififths]]</li><li>[[Maqamic]]</li><li>[[Migration]]</li><li>[[Mohaha]]</li><li>[[Mohajira]]</li><li>[[Mohoho]]</li><li>[[Vicentino]]</li></ul>


===Period 2===
===Period 2===
Line 61: Line 61:
[&lt;2 3...], &lt;0 1...]&gt;
[&lt;2 3...], &lt;0 1...]&gt;


<ul><li>Diaschismic</li><li>Injera</li><li>Pajara</li><li>Pajaric</li><li>Pajarous</li><li>Srutal</li></ul>
<ul><li>[[Diaschismic]]</li><li>[[Injera]]</li><li>[[Pajara]]</li><li>[[Pajaric]]</li><li>[[Pajarous]]</li><li>[[Srutal]]</li></ul>


==Complexity 3==
==Complexity 3==
Line 71: Line 71:
[&lt;1 2...], &lt;0 -3...]&gt;
[&lt;1 2...], &lt;0 -3...]&gt;


<ul><li>Opossum</li><li>Porcupine</li></ul>
<ul><li>[[Opossum]]</li><li>[[Porcupine]]</li></ul>


Next we have temperaments in which 3/2 is divided into 3 equal parts of ~234 cents. Because this is so close to [[8/7|8/7]], most if not all of these are in the [[Gamelismic_clan|Gamelismic clan]]. Mandatory MOSes include 5, 6, 11, and 16.
Next we have temperaments in which 3/2 is divided into 3 equal parts of ~234 cents. Because this is so close to [[8/7|8/7]], most if not all of these are in the [[Gamelismic_clan|Gamelismic clan]]. Mandatory MOSes include 5, 6, 11, and 16.
Line 77: Line 77:
[&lt;1 1...], &lt;0, 3...]&gt;
[&lt;1 1...], &lt;0, 3...]&gt;


<ul><li>Cynder</li><li>Gorgo</li><li>Mothra</li><li>Radon</li><li>Rodan</li><li>Slendric</li></ul>
<ul><li>[[Cynder]]</li><li>[[Gorgo]]</li><li>[[Mothra]]</li><li>[[Radon]]</li><li>[[Rodan]]</li><li>[[Slendric]]</li></ul>


Finally we have temperaments in which 8/3 is divided into 3 equal parts of ~566 cents (or equivalently 3/1 into 3 parts of ~634 cents). (Interesting fact: This also implies that 9/8 is divided into 3 equal parts.) Mandatory MOSes include 5, 7, 9, 11, 13, and 15.
Finally we have temperaments in which 8/3 is divided into 3 equal parts of ~566 cents (or equivalently 3/1 into 3 parts of ~634 cents). (Interesting fact: This also implies that 9/8 is divided into 3 equal parts.) Mandatory MOSes include 5, 7, 9, 11, 13, and 15.
Line 83: Line 83:
[&lt;1 3...], &lt;0, -3...]&gt;
[&lt;1 3...], &lt;0, -3...]&gt;


<ul><li>Liese</li><li>Triton</li></ul>
<ul><li>[[Liese]]</li><li>[[Triton]]</li></ul>


===Period 3===
===Period 3===
Line 91: Line 91:
[&lt;3 5...], &lt;0 -1...]&gt;
[&lt;3 5...], &lt;0 -1...]&gt;


<ul><li>Augene</li><li>Augmented</li><li>August</li></ul>
<ul><li>[[Augene]]</li><li>[[Augmented]]</li><li>[[August]]</li></ul>


==Complexity 4==
==Complexity 4==
Line 101: Line 101:
[&lt;1 2...], &lt;0 -4...]&gt;
[&lt;1 2...], &lt;0 -4...]&gt;


<ul><li>Negri</li><li>Negric</li><li>Negril</li></ul>
<ul><li>[[Negri]]</li><li>[[Negric]]</li><li>[[Negril]]</li></ul>


Generator ~175 cents. Mandatory MOSes: 6, 7, 13, 20.
Generator ~175 cents. Mandatory MOSes: 6, 7, 13, 20.
Line 107: Line 107:
[&lt;1 1...], &lt;0 4...]&gt;
[&lt;1 1...], &lt;0 4...]&gt;


<ul><li>Tetracot</li></ul>
<ul><li>[[Tetracot]]</li></ul>


Generator ~425 cents. Mandatory MOSes: 3, 5, 8, 11, 14, 17.
Generator ~425 cents. Mandatory MOSes: 3, 5, 8, 11, 14, 17.
Line 113: Line 113:
[&lt;1 3...], &lt;0 -4...]&gt;
[&lt;1 3...], &lt;0 -4...]&gt;


<ul><li>Skwares</li><li>Squares</li></ul>
<ul><li>[[Skwares]]</li><li>[[Squares]]</li></ul>


Generator ~475 cents. Mandatory MOSes: 3, 5, 8, 13, 18, 23, 28, and probably some more.
Generator ~475 cents. Mandatory MOSes: 3, 5, 8, 13, 18, 23, 28, and probably some more.
Line 119: Line 119:
[&lt;1 0...], &lt;0 4...]&gt;
[&lt;1 0...], &lt;0 4...]&gt;


<ul><li>Buzzard</li><li>Vulture</li></ul>
<ul><li>[[Buzzard]]</li><li>[[Vulture]]</li></ul>


===Period 2===
===Period 2===
Line 127: Line 127:
[&lt;2 3...], &lt;0 2...]&gt;
[&lt;2 3...], &lt;0 2...]&gt;


<ul><li>Shrutar</li></ul>
<ul><li>[[Shrutar]]</li></ul>


Generator ~250 cents. Mandatory MOSes: 4, 6, 10.
Generator ~250 cents. Mandatory MOSes: 4, 6, 10.
Line 133: Line 133:
[&lt;2 4...], &lt;0 -2...]&gt;
[&lt;2 4...], &lt;0 -2...]&gt;


<ul><li>Decimal</li></ul>
<ul><li>[[Decimal]]</li></ul>


===Period 4===
===Period 4===
Line 141: Line 141:
[&lt;4 6...], &lt;0 1...]&gt;
[&lt;4 6...], &lt;0 1...]&gt;


<ul><li>Diminished</li></ul>
<ul><li>[[Diminished]]</li></ul>


==Complexity 5==
==Complexity 5==
Line 149: Line 149:
[&lt;1 2...], &lt;0 -5...]&gt;
[&lt;1 2...], &lt;0 -5...]&gt;


<ul><li>Passion</li><li>Ripple</li></ul>
<ul><li>[[Passion]]</li><li>[[Ripple]]</li></ul>


Generator ~140 cents. Mandatory MOSes: 8, 9, 17.
Generator ~140 cents. Mandatory MOSes: 8, 9, 17.
Line 155: Line 155:
[&lt;1 1...], &lt;0 5...]&gt;
[&lt;1 1...], &lt;0 5...]&gt;


<ul><li>Bleu</li><li>Progression</li></ul>
<ul><li>[[Bleu]]</li><li>[[Progression]]</li></ul>


Generator ~340 cents. Mandatory MOSes: 3, 4, 7, 11, 18, 25, 32, 39.
Generator ~340 cents. Mandatory MOSes: 3, 4, 7, 11, 18, 25, 32, 39.
Line 161: Line 161:
[&lt;1 3...], &lt;0 -5...]&gt;
[&lt;1 3...], &lt;0 -5...]&gt;


<ul><li>Amity</li></ul>
<ul><li>[[Amity]]</li></ul>


Generator ~380 cents. Mandatory MOSes: 3, 4, 7, 10, 13, 16.
Generator ~380 cents. Mandatory MOSes: 3, 4, 7, 10, 13, 16.
Line 167: Line 167:
[&lt;1 0...], &lt;0 5...]&gt;
[&lt;1 0...], &lt;0 5...]&gt;


<ul><li>Magic</li></ul>
<ul><li>[[Magic]]</li></ul>


Generator ~580 cents. Mandatory MOSes: all odd numbers up through about 25.
Generator ~580 cents. Mandatory MOSes: all odd numbers up through about 25.
Line 173: Line 173:
[&lt;1 4...], &lt;0 -5...]&gt;
[&lt;1 4...], &lt;0 -5...]&gt;


<ul><li>Tritonic</li></ul>
<ul><li>[[Tritonic]]</li></ul>


==Complexity 6==
==Complexity 6==
Line 183: Line 183:
[&lt;1 2...], &lt;0 -6...]&gt;
[&lt;1 2...], &lt;0 -6...]&gt;


<ul><li>Nautilus</li></ul>
<ul><li>[[Nautilus]]</li></ul>


Generator ~117 cents.
Generator ~117 cents.
Line 189: Line 189:
[&lt;1 1...], &lt;0 6...]&gt;
[&lt;1 1...], &lt;0 6...]&gt;


<ul><li>Benediction</li><li>Manna</li><li>Miracle</li><li>Miraculous</li></ul>
<ul><li>[[Benediction]]</li><li>[[Manna]]</li><li>[[Miracle]]</li><li>[[Miraculous]]</li></ul>


Generator ~283 cents.
Generator ~283 cents.
Line 201: Line 201:
[&lt;1 0...], &lt;0 6...]&gt;
[&lt;1 0...], &lt;0 6...]&gt;


<ul><li>Cata</li><li>Catakleismic</li><li>Hanson</li><li>Keemun</li></ul>
<ul><li>[[Cata]]</li><li>[[Catakleismic]]</li><li>[[Hanson]]</li><li>[[Keemun]]</li></ul>


Generator ~483 cents.
Generator ~483 cents.
Line 213: Line 213:
[&lt;1 -1...], &lt;0 6...]&gt;
[&lt;1 -1...], &lt;0 6...]&gt;


<ul><li>Gravity</li></ul>
<ul><li>[[Gravity]]</li></ul>


===Period 2===
===Period 2===
Line 227: Line 227:
[&lt;2 3...], &lt;0 -3...]&gt;
[&lt;2 3...], &lt;0 -3...]&gt;


<ul><li>Hedgehog</li></ul>
<ul><li>[[Hedgehog]]</li></ul>


Generator ~234 cents.
Generator ~234 cents.
Line 233: Line 233:
[&lt;2 2...], &lt;0 -3...]&gt;
[&lt;2 2...], &lt;0 -3...]&gt;


<ul><li>Lemba</li></ul>
<ul><li>[[Lemba]]</li></ul>


===Period 3===
===Period 3===
Line 241: Line 241:
[&lt;3 5...], &lt;0 -2...]&gt;
[&lt;3 5...], &lt;0 -2...]&gt;


<ul><li>Hemiaug/semiaug</li></ul>
<ul><li>[[Hemiaug]]/[[semiaug]]</li></ul>


Generator ~150 cents
Generator ~150 cents
Line 247: Line 247:
[&lt;3 4...], &lt;0 2...]&gt;
[&lt;3 4...], &lt;0 2...]&gt;


<ul><li>Triforce</li></ul>
<ul><li>[[Triforce]]</li></ul>


===Period 6===
===Period 6===
Line 253: Line 253:
[&lt;6 10...], &lt;0 -1...]&gt;
[&lt;6 10...], &lt;0 -1...]&gt;


<ul><li>Hexe</li></ul>
<ul><li>[[Hexe]]</li></ul>


==Higher complexity==
==Higher complexity==
Line 259: Line 259:
[&lt;1 0...], &lt;0 7...]&gt;
[&lt;1 0...], &lt;0 7...]&gt;


<ul><li>Orson</li><li>Orwell</li><li>Winston</li></ul>
<ul><li>[[Orson]]</li><li>[[Orwell]]</li><li>[[Winston]]</li></ul>


[&lt;1 -1...], &lt;0 7...]&gt;
[&lt;1 -1...], &lt;0 7...]&gt;


<ul><li>Sensi</li><li>Sensis</li><li>Sensor</li><li>Sensus</li></ul>
<ul><li>[[Sensi]]</li><li>[[Sensis]]</li><li>[[Sensor]]</li><li>[[Sensus]]</li></ul>


[&lt;1 1...], &lt;0 8...]&gt;
[&lt;1 1...], &lt;0 8...]&gt;


<ul><li>Octacot</li></ul>
<ul><li>[[Octacot]]</li></ul>


[&lt;1 -1...], &lt;0 8...]&gt;
[&lt;1 -1...], &lt;0 8...]&gt;


<ul><li>Würschmidt</li></ul>
<ul><li>[[Würschmidt]]</li></ul>


[&lt;1 1...], &lt;0 9...]&gt;
[&lt;1 1...], &lt;0 9...]&gt;


<ul><li>Lupercalia</li><li>Valentine</li><li>Valentino</li></ul>
<ul><li>[[Lupercalia]]</li><li>[[Valentine]]</li><li>[[Valentino]]</li></ul>


[&lt;1 4...], &lt;0 -9...]&gt;
[&lt;1 4...], &lt;0 -9...]&gt;


<ul><li>Superkleismic</li></ul>
<ul><li>[[Superkleismic]]</li></ul>


[&lt;1 -1...], &lt;0 10...]&gt;
[&lt;1 -1...], &lt;0 10...]&gt;


<ul><li>Myna</li></ul>
<ul><li>[[Myna]]</li></ul>


[&lt;2 4...], &lt;0 6...]&gt;
[&lt;2 4...], &lt;0 6...]&gt;


<ul><li>Harry</li></ul>
<ul><li>[[Harry]]</li></ul>


[&lt;2 5...], &lt;0 -6...]&gt;
[&lt;2 5...], &lt;0 -6...]&gt;


<ul><li>Hendec</li><li>Unidec</li></ul>
<ul><li>[[Hendec]]</li><li>[[Unidec]]</li></ul>


[&lt;2 1...], &lt;0 6...]&gt;
[&lt;2 1...], &lt;0 6...]&gt;


<ul><li>Wizard</li></ul>
<ul><li>[[Wizard]]</li></ul>


[&lt;1 5...], &lt;0 -13...]&gt;
[&lt;1 5...], &lt;0 -13...]&gt;


<ul><li>Parakleismic</li></ul>
<ul><li>[[Parakleismic]]</li></ul>


[&lt;1 4...], &lt;0 -15...]&gt;
[&lt;1 4...], &lt;0 -15...]&gt;


<ul><li>Hemithirds</li></ul>
<ul><li>[[Hemithirds]]</li></ul>


[&lt;1 -1...], &lt;0 16...]&gt;
[&lt;1 -1...], &lt;0 16...]&gt;


<ul><li>Hemiwürschmidt</li></ul>
<ul><li>[[Hemiwürschmidt]]</li></ul>


[&lt;1 -5...], &lt;0 17...]&gt;
[&lt;1 -5...], &lt;0 17...]&gt;


<ul><li>Semisept</li></ul>
<ul><li>[[Semisept]]</li></ul>


[&lt;3 6...], &lt;0 -6...]&gt;
[&lt;3 6...], &lt;0 -6...]&gt;


<ul><li>Tritikleismic</li></ul>
<ul><li>[[Tritikleismic]]</li></ul>


[&lt;9 15...], &lt;0 -2...]&gt;
[&lt;9 15...], &lt;0 -2...]&gt;


<ul><li>Ennealimmal</li></ul>
<ul><li>[[Ennealimmal]]</li></ul>
[[Category:Lists of temperaments]]
[[Category:Lists of temperaments]]
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Todo:remove manual line breaks]]
Retrieved from "https://en.xen.wiki/w/Rank-2_temperaments_by_mapping_of_3"