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| {{Infobox MOS | | {{Infobox MOS |
| | Name = diminished | | | Name = tetrawood; diminished |
| | Periods = 4 | | | Periods = 4 |
| | nLargeSteps = 4 | | | nLargeSteps = 4 |
| | nSmallSteps = 4 | | | nSmallSteps = 4 |
| | Equalized = 1 | | | Equalized = 1 |
| | Paucitonic = 0 | | | Collapsed = 0 |
| | Pattern = sLsLsLsL | | | Pattern = LsLsLsLs |
| }} | | }} |
| | {{MOS intro}} |
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| The minimum harmonic entropy scale with this [[MOSScales|MOS]] pattern is [[Jubilismic_clan|diminished]][8], basically the familiar [[Octatonic_scale|octatonic scale]] of 12edo. | | The minimum harmonic entropy scale with this mos pattern is [[Diminished]][8], the familiar [[octatonic scale]] of 12edo. |
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| There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)
| | In addition to the true mos form, LsLsLsLs, there are four near-mos forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-mos forms are only proper if the dark generator is larger than 1\12 (100{{c}}). |
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| {| class="wikitable"
| | == Intervals == |
| |-
| | {{MOS intervals}} |
| ! colspan="5" | Generator
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| ! | Cents
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| ! | Comments
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| |-
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| | | 0\4
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| | | 0
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| | style="text-align:center;" |
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| |-
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| | | 1\24
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| | | 50
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| |-
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| | | 1\20
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| | | 60
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| | style="text-align:center;" | L/s = 4
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| |-
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| | | 300/(1+pi)
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| |-
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| | | 1\16
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| | | 75
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| | style="text-align:center;" | L/s = 3
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| |-
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| | | 300/(1+e)
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| |-
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| | | 3\44
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| | | 81.82
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| |-
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| | | 2\28
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| | | 85.71
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| |-
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| | | 1\12
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| | | 100
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| | style="text-align:center;" | Diminished is around here
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| Optimum rank range (L/s=2/1) for MOS
| | == Modes == |
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| | {{MOS mode degrees}} |
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| | == Scale tree == |
| | | | | {{MOS tuning spectrum |
| | | | | | 6/5 = [[Fourfives]]↑ |
| | | | | | 13/8 = Unnamed golden tuning |
| | | 300/(1+sqrt(3))
| | | 2/1 = [[Diminished]] |
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| | | 13/5 = Unnamed golden tuning |
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| | | 6/1 = [[Quadritikleismic]]↓ |
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| | }} |
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| | [[Category:Tetrawood| ]] <!-- main article --> |
| | | 3\32
| | [[Category:8-tone scales]] |
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| | | 112.5
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| | style="text-align:center;" |
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| | | 5\52
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| | | 115.38
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| | style="text-align:center;" | Golden diminished
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| | | 300/(1+pi/2)
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| |-
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| | | 2\20
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| | | 120
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| | style="text-align:center;" |
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| |-
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| |3\28
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| |128.57
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| |-
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| |4\36
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| |133.33
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| |-
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| | | 1\8
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| | | 150
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| | style="text-align:center;" |
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| |}
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