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| {{MOS intro}} | | {{MOS intro}} |
| The true MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs. The MOS is always proper but the other forms are only proper if the generator is larger than 1\9 of an octave (so not augmented).
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| Out of all ''[[Rothenberg propriety|proper]]'' six-note MOS scales, this augmented scale probably has the lowest harmonic entropy.
| | In addition to the true MOS (LsLsLs or sLsLsL), there are also near-MOS patterns of LLsLss and LLssLs, which are only proper if the generator is larger than [[9edo|1\9]]. |
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| == Scale tree == | | Out of all ''[[Rothenberg propriety|proper]]'' six-note MOS scales, this augmented scale probably has the lowest harmonic entropy{{Clarify}}. |
| {| class="wikitable center-all" | | |
| ! colspan="6" rowspan="2" | Generator
| | == Intervals == |
| ! colspan="2" | Cents
| | {{MOS intervals}} |
| ! rowspan="2" | L
| | |
| ! rowspan="2" | s
| | == Modes== |
| ! rowspan="2" | L/s
| | {{MOS mode degrees}} |
| ! rowspan="2" | Comments
| | |
| |-
| | ==Scale tree== |
| ! Chroma-positive
| | {{MOS tuning spectrum |
| ! Chroma-negative
| | | 9/7 = [[Oodako]] |
| |-
| | | 8/5 = [[Triforce]] |
| | 1\6 || || || || || || 200.000 || 200.000 || 1 || 1 || 1.000 ||
| | | 13/8 = Unnamed golden tuning |
| |-
| | | 7/3 = [[Deflated]] (optimal around here) |
| | || || || || || 6\33 || 218.182 || 181.818 || 6 || 5 || 1.200 ||
| | | 13/5 = Unnamed golden tuning |
| |-
| | | 11/4 = [[August]] |
| | || || || || 5\27 || || 222.222 || 177.778 || 5 || 4 || 1.250 ||
| | | 3/1 = [[Trug]] (optimal around here) |
| |-
| | | 10/3 = [[Augene]] |
| | || || || || || 9\48 || 225.000 || 175.000 || 9 || 7 || 1.286 || Oodako
| | | 4/1 = [[Inflated]] |
| |-
| | | 6/1 = [[Hemiug]]↓, [[hemiaug]]↓ |
| | || || || 4\21 || || || 228.571 || 171.429 || 4 || 3 || 1.333 ||
| | }} |
| |-
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| | || || || || || 11\57 || 231.579 || 168.421 || 11 || 8 || 1.375 ||
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| |-
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| | || || || || 7\36 || || 233.333 || 166.667 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 10\51 || 235.294 || 164.706 || 10 || 7 || 1.428 ||
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| |-
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| | || || 3\15 || || || || 240.000 || 160.000 || 3 || 2 || 1.500 ||
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| |-
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| | || || || || || 11\54 || 244.444 || 155.556 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 8\39 || || 246.154 || 153.846 || 8 || 5 || 1.600 || Triforce
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| |-
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| | || || || || || 13\63 || 247.619 || 152.381 || 13 || 8 || 1.625 || Unnamed golden tuning
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| |-
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| | || || || 5\24 || || || 250.000 || 150.000 || 5 || 3 || 1.667 ||
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| | || || || || || 12\57 || 252.632 || 147.368 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 7\33 || || 254.545 || 145.455 || 7 || 4 || 1.750 ||
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| | || || || || || 9\42 || 257.143 || 142.857 || 9 || 5 || 1.800 ||
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| |-
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| | || 2\9 || || || || || 266.667 || 133.333 || 2 || 1 || 2.000 || Basic triwood
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| |-
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| | || || || || || 9\39 || 276.923 || 123.077 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 7\30 || || 280.000 || 120.000 || 7 || 3 || 2.333 || Deflated (optimal around here)
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| |-
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| | || || || || || 12\51 || 282.353 || 117.647 || 12 || 5 || 2.400 ||
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| |-
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| | || || || 5\21 || || || 285.714 || 114.286 || 5 || 2 || 2.500 ||
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| | || || || || || 13\54 || 288.889 || 111.111 || 13 || 5 || 2.600 || Unnamed golden tuning
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| | || || || || 8\33 || || 290.909 || 109.091 || 8 || 3 || 2.667 ||
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| | || || || || || 11\45 || 293.333 || 106.667 || 11 || 4 || 2.750 || August
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| | || || 3\12 || || || || 300.000 || 100.000 || 3 || 1 || 3.000 || Trug (optimal around here)
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| | || || || || || 10\39 || 307.692 || 92.308 || 10 || 3 || 3.333 || Augene
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| |-
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| | || || || || 7\27 || || 311.111 || 88.889 || 7 || 2 || 3.500 ||
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| |-
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| | || || || || || 11\42 || 314.286 || 85.714 || 11 || 3 || 3.667 ||
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| |-
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| | || || || 4\15 || || || 320.000 || 80.000 || 4 || 1 || 4.000 || Inflated
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| | || || || || || 9\33 || 327.273 || 72.727 || 9 || 2 || 4.500 ||
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| | || || || || 5\18 || || 333.333 || 66.667 || 5 || 1 || 5.000 ||
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| |-
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| | || || || || || 6\21 || 342.857 || 57.143 || 6 || 1 || 6.000 || Hemiug↓, hemiaug↓
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| |-
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| | 1\3 || || || || || || 400.000 || 0.000 || 1 || 0 || → inf ||
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| |}
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| [[Category:Triwood| ]] | | [[Category:Triwood| ]] |
| [[Category:6-tone scales]] | | [[Category:6-tone scales]] |
| <!-- main article --> | | <!-- main article --> |