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| | nSmallSteps = 3 | | | nSmallSteps = 3 |
| | Equalized = 1 | | | Equalized = 1 |
| | Paucitonic = 0 | | | Collapsed = 0 |
| | Pattern = LsLsLs | | | Pattern = LsLsLs |
| }} | | }} |
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| {| class="wikitable" | | {{MOS intro}} |
| |-
| |
| ! colspan="5" | Generator
| |
| ! | Cents
| |
| ! | Comments
| |
| |-
| |
| | | 0\3
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 0
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1\15
| |
| | |
| |
| | | 80
| |
| | style="text-align:center;" | L/s = 4
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 2\27
| |
| | | 88.88
| |
| | style="text-align:center;" | Optimal augmented is around here
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 400/(1+pi)
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 1\12
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| | |
| |
| | |
| |
| | | 100
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| | style="text-align:center;" | L/s = 3
| |
| |-
| |
| | |
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| | |
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| | |
| |
| | |
| |
| | |
| |
| | | 400/(1+e)
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3\33
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| | | 109.09
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
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| | |
| |
| | | 400/(2+phi)
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 2\21
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| | |
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| | | 114.29
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| | |
| |
| |-
| |
| | |
| |
| | | 1\9
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| | |
| |
| | |
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| | |
| |
| | | 133.33
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| | style="text-align:center;" | Boundary of propriety for near-MOS
| |
|
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| Optimum rank range (L/s=2/1) for MOS
| | 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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| | |
| |
| | |
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| | |
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| | | 400/(1+sqrt(3))
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| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3\24
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| | |
| |
| | | 150
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| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 400/(1+phi)
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 5\39
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| | | 153.85
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 400/(1+pi/2)
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 2\15
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| | |
| |
| | |
| |
| | | 160
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| | style="text-align:center;" |
| |
| |-
| |
| | | 1\6
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| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 200
| |
| | style="text-align:center;" |
| |
| |}
| |
| 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. | | Out of all ''[[Rothenberg propriety|proper]]'' six-note MOS scales, this augmented scale probably has the lowest harmonic entropy{{Clarify}}. |
| | |
| | == Intervals == |
| | {{MOS intervals}} |
| | |
| | == Modes== |
| | {{MOS mode degrees}} |
| | |
| | ==Scale tree== |
| | {{MOS tuning spectrum |
| | | 9/7 = [[Oodako]] |
| | | 8/5 = [[Triforce]] |
| | | 13/8 = Unnamed golden tuning |
| | | 7/3 = [[Deflated]] (optimal around here) |
| | | 13/5 = Unnamed golden tuning |
| | | 11/4 = [[August]] |
| | | 3/1 = [[Trug]] (optimal around here) |
| | | 10/3 = [[Augene]] |
| | | 4/1 = [[Inflated]] |
| | | 6/1 = [[Hemiug]]↓, [[hemiaug]]↓ |
| | }} |
| | |
| | [[Category:Triwood| ]] |
| | [[Category:6-tone scales]] |
| | <!-- main article --> |