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| There are two notable low-harmonic-entropy scales with this [[MOS Scale|MOS]] pattern. The first is [[tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]].
| | {{Infobox MOS |
| | | Periods = 1 |
| | | nLargeSteps = 1 |
| | | nSmallSteps = 5 |
| | | Equalized = 5 |
| | | Collapsed = 1 |
| | | Pattern = Lsssss |
| | }} |
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| Other scales include very improper (incomplete) versions of porcupine, negri, etc. | | {{MOS intro}} |
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| | There are two notable low-harmonic-entropy scales with this [[MOS scale|MOS]] pattern. The first is [[tetracot]], in which four [[generator]]s make a [[3/2]]. |
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| | The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "[[luna]]", "[[hemithird]]", and "[[hemiwürschmidt]]" all have [[hexatonic|6-note]] MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]]. |
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| | This scale can be seen as the equal-tempered whole-tone scale ([[6edo]]), but with one "whole tone" that is larger than the others. |
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| | Other scales include very improper (incomplete) versions of [[porcupine]], [[negri]], etc. |
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| | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
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| == Scales == | | == Scales == |
| | === Scale list === |
| * [[Roulette6]] | | * [[Roulette6]] |
| * [[Tutone6]] | | * [[Tutone6]] |
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| * [[Glacial6]] | | * [[Glacial6]] |
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| == Scale tree == | | === Scale tree === |
| {| class="wikitable center-all" | | {{MOS tuning spectrum |
| ! colspan="6" rowspan="2" | Generator
| | | 6/5 = [[Luna]]/[[hemithirds]]/[[hemiwürschmidt]]<br />[[Didacus]]/[[roulette]]<br />[[Isra]]/[[tutone]]/[[leantone]] |
| ! colspan="2" | Cents
| | | 5/4 = Isra/leantone |
| ! rowspan="2" | L
| | | 9/7 = Isra/deutone |
| ! rowspan="2" | s
| | | 4/3 = [[Spell]] |
| ! rowspan="2" | L/s
| | | 3/2 = [[Glacial]] |
| ! rowspan="2" | Comments
| | | 13/8 = Wilson Golden 2 (1018.6773{{c}}) |
| |-
| | | 9/5 = [[Tetracot]] |
| ! Chroma-positive
| | | 7/3 = [[Porcupine]] (incomplete) |
| ! Chroma-negative
| | | 12/5 = Porcupine/[[porcupinefish]] |
| |-
| | | 13/5 = Wilson Golden 1 (1042.4790{{c}}) |
| | 5\6 || || || || || || 1000.000 || 200.000 || 1 || 1 || 1.000 ||
| | | 11/4 = [[Nusecond]] |
| |-
| | | 7/2 = [[Progression]] (incomplete) |
| | || || || || || 26\31 || 1006.452 || 193.548 || 6 || 5 || 1.200 || Luna/hemithirds/hemiwürschmidt, didacus/roulette, tutone/deutone/leantone
| | | 9/2 = [[Negri]] (incomplete) |
| |-
| | | 5/1 = [[Miracle]] (incomplete) |
| | || || || || 21\25 || || 1008.000 || 192.000 || 5 || 4 || 1.250 ||
| | | 6/1 = [[Passion]] (incomplete) ↓, [[ripple]] (incomplete) ↓ |
| |-
| | }} |
| | || || || || || 37\44 || 1009.091 || 190.909 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 16\19 || || || 1010.526 || 189.474 || 4 || 3 || 1.333 ||
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| |- | |
| | || || || || || 43\51 || 1011.765 || 188.235 || 11 || 8 || 1.375 || | |
| |-
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| | || || || || 27\32 || || 1012.500 || 187.500 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 38\45 || 1013.333 || 186.667 || 10 || 7 || 1.428 ||
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| |-
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| | || || 11\13 || || || || 1015.385 || 184.615 || 3 || 2 || 1.500 || L/s = 3/2, glacial
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| |-
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| | || || || || || 39\46 || 1017.391 || 182.609 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 28\33 || || 1018.182 || 181.818 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 45\53 || 1018.868 || 181.132 || 13 || 8 || 1.625 || [http://launch.groups.yahoo.com/group/tuning/message/100254 Unnamed golden tuning]{{dead link}}
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| |-
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| | || || || 17\20 || || || 1020.000 || 180.000 || 5 || 3 || 1.667 ||
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| |-
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| | || || || || || 40\47 || 1021.277 || 178.723 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 23\27 || || 1022.222 || 177.778 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 29\34 || 1023.529 || 176.471 || 9 || 5 || 1.800 || Tetracot
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| |- | |
| | || 6\7 || || || || || 1028.571 || 171.429 || 2 || 1 || 2.000 || Basic 1L 5s<br>(Generators smaller than this are proper)
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| |-
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| | || || || || || 25\29 || 1034.483 || 165.517 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 19\22 || || 1036.364 || 163.636 || 7 || 3 || 2.333 || Porcupine (incomplete)
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| |-
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| | || || || || || 32\37 || 1037.838 || 162.162 || 12 || 5 || 2.400 ||
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| |-
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| | || || || 13\15 || || || 1040.000 || 160.000 || 5 || 2 || 2.500 ||
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| |-
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| | || || || || || 33\38 || 1042.105 || 157.895 || 13 || 5 || 2.600 || Golden hemikleismic (?)
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| |-
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| | || || || || 20\23 || || 1043.478 || 156.522 || 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 27\31 || 1045.161 || 154.839 || 11 || 4 || 2.750 ||
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| |-
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| | || || 7\8 || || || || 1050.000 || 150.000 || 3 || 1 || 3.000 || L/s = 3/1
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| |-
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| | || || || || || 22\25 || 1056.000 || 144.000 || 10 || 3 || 3.333 ||
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| |-
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| | || || || || 15\17 || || 1058.824 || 141.176 || 7 || 2 || 3.500 || Progression (incomplete)
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| |- | |
| | || || || || || 23\26 || 1061.538 || 138.462 || 11 || 3 || 3.667 ||
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| |-
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| | || || || 8\9 || || || 1066.667 || 133.333 || 4 || 1 || 4.000 ||
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| |-
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| | || || || || || 17\19 || 1073.684 || 126.316 || 9 || 2 || 4.500 || Negri (incomplete)
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| |-
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| | || || || || 9\10 || || 1080.000 || 120.000 || 5 || 1 || 5.000 || Miracle (incomplete)
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| |-
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| | || || || || || 10\11 || 1090.909 || 109.091 || 6 || 1 || 6.000 || Passion↓ (incomplete), ripple↓ (incomplete)
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| |-
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| | 1\1 || || || || || || 1200.000 || 0.000 || 1 || 0 || → inf ||
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| |}
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| [[Category:Scales]]
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| [[Category:Abstract MOS patterns]]
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| [[Category:6-tone scales]] | | [[Category:6-tone scales]] |