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| nSmallSteps = 3
| nSmallSteps = 3
| Equalized = 1
| Equalized = 1
| Paucitonic = 0
| Collapsed = 0
| Pattern = LsLsLs
| Pattern = LsLsLs
}}
}}


{| 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
| |
| |
| | 100
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| | 400/(1+e)
| |
|-
| |
| |
| |
| |
| | 3\33
| | 109.09
| |
|-
| |
| |
| |
| |
| |
| | 400/(2+phi)
| |
|-
| |
| |
| |
| | 2\21
| |
| | 114.29
| |
|-
| |
| | 1\9
| |
| |
| |
| | 133.33
| style="text-align:center;" | Boundary of propriety for near-MOS


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]].
|-
| |
| |
| |
| |
| |
| | 400/(1+sqrt(3))
| |
|-
| |
| |
| |
| | 3\24
| |
| | 150
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 400/(1+phi)
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 5\39
| | 153.85
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 400/(1+pi/2)
| |
|-
| |
| |
| | 2\15
| |
| |
| | 160
| style="text-align:center;" |
|-
| | 1\6
| |
| |
| |
| |
| | 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).


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]]
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