|
|
| (22 intermediate revisions by 11 users not shown) |
| Line 1: |
Line 1: |
| The minimum harmonic entropy scale with this [[MOSScales|MOS]] pattern is [[Jubilismic_clan|diminished]][8], basically the familiar [[Octatonic_scale|octatonic scale]] of 12edo.
| | {{Infobox MOS |
| | | Name = tetrawood; diminished |
| | | Periods = 4 |
| | | nLargeSteps = 4 |
| | | nSmallSteps = 4 |
| | | Equalized = 1 |
| | | Collapsed = 0 |
| | | Pattern = LsLsLsLs |
| | }} |
| | {{MOS intro}} |
|
| |
|
| 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.)
| | The minimum harmonic entropy scale with this mos pattern is [[Diminished]][8], the familiar [[octatonic scale]] of 12edo. |
|
| |
|
| {| class="wikitable"
| | 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}}). |
| |-
| |
| ! colspan="5" | Generator
| |
| ! | Cents
| |
| ! | Comments
| |
| |-
| |
| | | 0\4
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 0
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1\24
| |
| | | 50
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1\20
| |
| | |
| |
| | | 60
| |
| | style="text-align:center;" | L/s = 4
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 300/(1+pi)
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 1\16
| |
| | |
| |
| | |
| |
| | | 75
| |
| | style="text-align:center;" | L/s = 3
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 300/(1+e)
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3\44
| |
| | | 81.82
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 2\28
| |
| | |
| |
| | | 85.71
| |
| | |
| |
| |-
| |
| | |
| |
| | | 1\12
| |
| | |
| |
| | |
| |
| | |
| |
| | | 100
| |
| | style="text-align:center;" | Diminished is around here
| |
|
| |
|
| Optimum rank range (L/s=2/1) for MOS
| | == Intervals == |
| |-
| | {{MOS intervals}} |
| | |
| | |
| | |
| | == Modes == |
| | |
| | {{MOS mode degrees}} |
| | |
| | |
| | |
| | == Scale tree == |
| | | 300/(1+sqrt(3)) | | {{MOS tuning spectrum |
| | |
| | | 6/5 = [[Fourfives]]↑ |
| |-
| | | 13/8 = Unnamed golden tuning |
| | |
| | | 2/1 = [[Diminished]] |
| | |
| | | 13/5 = Unnamed golden tuning |
| | |
| | | 6/1 = [[Quadritikleismic]]↓ |
| | | 3\32
| | }} |
| | |
| | |
| | | 112.5
| | [[Category:Tetrawood| ]] <!-- main article --> |
| | style="text-align:center;" | | | [[Category:8-tone scales]] |
| |- | |
| | | | |
| | |
| |
| | |
| |
| | |
| |
| | | 5\52
| |
| | | 115.38
| |
| | style="text-align:center;" | Golden diminished
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 300/(1+pi/2) | |
| | |
| |
| |- | |
| | |
| |
| | |
| |
| | | 2\20
| |
| | |
| |
| | |
| |
| | | 120
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 1\8
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 150
| |
| | style="text-align:center;" |
| |
| |}
| |