2L 6s: Difference between revisions

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Two notable harmonic entropy minima for this [[MOSScales|MOS]] pattern are [[Diaschismic_family|srutal/pajara]] and shrutar. They are both improper. As for proper scales, I can't think of any.
{{Infobox MOS
| Name = antiekic
| Periods = 2
| nLargeSteps = 2
| nSmallSteps = 6
| Equalized = 1
| Collapsed = 0
| Pattern = LsssLsss
}}


In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.
{{MOS intro}}
Two notable harmonic entropy minima for this [[MOS scale|MOS]] pattern are [[srutal]]/[[pajara]] and [[shrutar]]. They are both improper.  


{| class="wikitable"
In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only interval with more than two [[Interval variety|interval varieties]].
|-
! colspan="10" | Generator
! | Cents
! | Comments
|-
| | 0\2
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| | 0
| style="text-align:center;" |
|-
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| | 1\26
| | 46.15
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|-
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| |
| | 1\24
| |
| | 50
| style="text-align:center;" |
|-
| |
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| |
| |
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| |
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| |
| | 2\46
| | 52.17
| style="text-align:center;" | Shrutar is around here
|-
| |
| |
| |
| |
| |
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| |
| | 1\22
| |
| |
| | 54.55
| style="text-align:center;" |
|-
| |
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| |
| | 1\20
| |
| |
| |
| | 60
| style="text-align:center;" |
|-
| |
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| |
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| |
| | 1\18
| |
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| |
| | 66.67
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 1\16
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| |
| |
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| |
| | 75
| style="text-align:center;" |
|-
| |
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| |
| | 1\14
| |
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| | 85.71
| style="text-align:center;" | L/s = 4
|-
| |
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| | 600/(3+pi)
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
| |
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| | 1\12
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| | 100
| style="text-align:center;" | L/s = 3
|-
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| | 600/(3+e)
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
| |
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| | 3\34
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| |
| | 105.88
| style="text-align:center;" | Srutal/Pajara is around here
|-
| |
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| | 8\90
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| | 106.67
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|-
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| | 21\236
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| | 106.78
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|-
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| | 34\382
| | 106.81
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|-
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| | 13\146
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| | 106.85
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|-
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| | 5\56
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| |  
| | 107.14
| |
|-
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| | 2\22
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| | 109.09
| style="text-align:center;" |
|-
| |
| | 1\10
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| |
| | 120
| style="text-align:center;" | Boundary of propriety


(generators larger than this are proper)
== Name ==
|-
{{TAMNAMS name}}
| |
 
| |
== Scale properties ==
| |
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| |
 
| |
=== Generator chain ===
| |
{{MOS genchain}}
| |
 
| |
=== Modes ===
| | 600/(3+sqrt(3))
{{MOS mode degrees}}
| |
 
|-
== Scale tree ==
| |
{{MOS tuning spectrum
| |
| 9/7 = Fifive/crepuscular/fifives
| |
| 13/8 = Unnamed golden tuning
| | 3\28
| 5/3 = Supersharp/octokaidecal is around here
| |
| 5/2 = Srutal/pajara
| |
| 13/5 = Srutal/keen
| |
| 8/3 = Srutal
| |
| 11/4 = Srutal/diaschismic
| |
| 10/3 = Bimeantone (incomplete)
| |
| 7/2 = Injera (incomplete)
| | 128.57
| 6/1 = Shrutar, teff/pombe (incomplete)
| style="text-align:center;" | Supersharp
}}
|-
 
| |
[[Category:8-tone scales]]
| |
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| | 8\74
| |
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| | 129.73
| style="text-align:center;" | Supersharp
|-
| |
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| | 21\194
| |
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| | 129.9
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|-
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| | 55\508
| | 129.92
| style="text-align:center;" | Unnamed golden temperament
|-
| |
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| | 34\314
| |
| | 129.94
| |
|-
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| | 13\120
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| | 130
| style="text-align:center;" |
|-
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| | 5\46
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| | 130.43
| style="text-align:center;" | Twothirdtonic
|-
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| | 600/(3+pi/2)
| |
|-
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| | 2\18
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| | 133.33
| style="text-align:center;" | Optimum rank range (L/s=3/2)
|-
|
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|3\26
|
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|138.46
|`
|-
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|4\34
|
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|141.18
|
|-
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|5\42
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|142.86
|
|-
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|
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|11\92
|
|
|143.48
|
|-
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|
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|
|6\50
|
|
|
|144
|
|-
|
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|7\58
|
|
|144.83
|
|-
|
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|
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|8\66
|
|145.455
|
|-
|
|
|
|
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|
|
|
|
|9\47
|145.95
|
|-
| | 1\8
| |
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| | 150
| style="text-align:center;" |
|}