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| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 6
| | {{MOS intro}} |
| | nLargeSteps = 6
| | |
| | nSmallSteps = 6
| | 6L 6s represents the bi-equal chromatic scale of [[Hexe]] temperament.<!-- Text removed for later rewording: "has two closed circles of minor sevenths representing the 2.9 subgroup separated thereby" --> |
| | Equalized = 1
| | |
| | Paucitonic = 1
| | == Scale properties == |
| | Pattern = LsLsLsLsLsLs
| | {{TAMNAMS use}} |
| }} | | |
| This is the bi-equal chromatic scale of [[Hexe]] temperament. It has a generator of up to the familiar semitone of 12edo (100¢) and two closed circles of minor sevenths representing the 2.9 subgroup separated thereby.
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
|
| |
|
| == Scale tree == | | == Scale tree == |
| {| class="wikitable center-all" | | {{MOS tuning spectrum |
| ! colspan="6" rowspan="2" | Generator
| | | 6/5 = ↑ [[Semimist]] |
| ! colspan="2" | Cents
| | | 5/4 = Optimal [[hexe]] |
| ! rowspan="2" | L
| | | 13/8 = Unnamed golden tuning |
| ! rowspan="2" | s
| | | 13/5 = Unnamed golden tuning |
| ! rowspan="2" | L/s
| | }} |
| ! rowspan="2" | Comments
| |
| |-
| |
| ! Chroma-positive
| |
| ! Chroma-negative
| |
| |-
| |
| | 1\12 || || || || || || 100.000 || 100.000 || 1 || 1 || 1.000 ||
| |
| |-
| |
| | || || || || || 6\66 || 109.091 || 90.909 || 6 || 5 || 1.200 || Semimist↑
| |
| |-
| |
| | || || || || 5\54 || || 111.111 || 88.889 || 5 || 4 || 1.250 || Hexe is optimal around here
| |
| |-
| |
| | || || || || || 9\96 || 112.500 || 87.500 || 9 || 7 || 1.286 ||
| |
| |-
| |
| | || || || 4\42 || || || 114.286 || 85.714 || 4 || 3 || 1.333 ||
| |
| |-
| |
| | || || || || || 11\114 || 115.789 || 84.211 || 11 || 8 || 1.375 ||
| |
| |-
| |
| | || || || || 7\72 || || 116.667 || 83.333 || 7 || 5 || 1.400 ||
| |
| |-
| |
| | || || || || || 10\102 || 117.647 || 98.824 || 10 || 7 || 1.428 ||
| |
| |-
| |
| | || || 3\30 || || || || 120.000 || 80.000 || 3 || 2 || 1.500 || L/s = 3/2
| |
| |-
| |
| | || || || || || 11\108 || 122.222 || 77.778 || 11 || 7 || 1.571 ||
| |
| |-
| |
| | || || || || 8\78 || || 123.077 || 76.923 || 8 || 5 || 1.600 ||
| |
| |-
| |
| | || || || || || 13\126 || 123.810 || 76.190 || 13 || 8 || 1.625 || Unnamed golden tuning
| |
| |-
| |
| | || || || 5\48 || || || 125.000 || 75.000 || 5 || 3 || 1.667 ||
| |
| |-
| |
| | || || || || || 12\114 || 126.316 || 73.684 || 12 || 7 || 1.714 ||
| |
| |-
| |
| | || || || || 7\66 || || 127.273 || 72.727 || 7 || 4 || 1.750 ||
| |
| |-
| |
| | || || || || || 9\84 || 128.571 || 71.429 || 9 || 5 || 1.800 ||
| |
| |-
| |
| | || 2\18 || || || || || 133.333 || 66.667 || 2 || 1 || 2.000 || Basic 6L 6s
| |
| |-
| |
| | || || || || || 9\78 || 138.462 || 61.538 || 9 || 4 || 2.250 ||
| |
| |-
| |
| | || || || || 7\60 || || 140.000 || 60.000 || 7 || 3 || 2.333 ||
| |
| |-
| |
| | || || || || || 12\102 || 141.176 || 58.824 || 12 || 5 || 2.400 ||
| |
| |-
| |
| | || || || 5\42 || || || 142.857 || 57.143 || 5 || 2 || 2.500 ||
| |
| |-
| |
| | || || || || || 13\108 || 144.444 || 55.556 || 13 || 5 || 2.600 || Unnamed golden tuning
| |
| |-
| |
| | || || || || 8\66 || || 145.455 || 54.545 || 8 || 3 || 2.667 ||
| |
| |-
| |
| | || || || || || 11\90 || 146.667 || 53.333 || 11 || 4 || 2.750 ||
| |
| |-
| |
| | || || 3\24 || || || || 150.000 || 50.000 || 3 || 1 || 3.000 || L/s = 3/1
| |
| |-
| |
| | || || || || || 10\78 || 153.846 || 46.154 || 10 || 3 || 3.333 ||
| |
| |-
| |
| | || || || || 7\54 || || 155.556 || 44.444 || 7 || 2 || 3.500 ||
| |
| |-
| |
| | || || || || || 11\84 || 157.143 || 42.857 || 11 || 3 || 3.667 ||
| |
| |-
| |
| | || || || 4\30 || || || 160.000 || 40.000 || 4 || 1 || 4.000 ||
| |
| |-
| |
| | || || || || || 9\66 || 163.636 || 36.364 || 9 || 2 || 4.500 ||
| |
| |-
| |
| | || || || || 5\36 || || 166.667 || 33.333 || 5 || 1 || 5.000 ||
| |
| |-
| |
| | || || || || || 6\42 || 171.429 || 28.571 || 6 || 1 || 6.000 ||
| |
| |-
| |
| | 1\6 || || || || || || 200.000 || 0.000 || 1 || 0 || → inf ||
| |
| |}
| |
|
| |
|
| [[Category:Abstract MOS patterns]] | | {{todo|expand}} |
| | [[Category:12-tone scales]] |