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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.  
Two notable harmonic entropy minima for this [[MOS scale|MOS]] pattern are [[srutal]]/[[pajara]] and [[shrutar]]. They are both improper.  


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.
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.


{| class="wikitable"
== Scale tree ==
{| class="wikitable center-all"
! colspan="6" rowspan="2" | Generator
! colspan="2" | Cents
! rowspan="2" | L
! rowspan="2" | s
! rowspan="2" | L/s
! rowspan="2" | Comments
|-
|-
! colspan="10" | Generator
! Chroma-positive
! | Cents
! Chroma-negative
! | Comments
|-
|-
| | 0\2
| 3\8 || || || || || || 450.000 || 150.000 || 1 || 1 || 1.000 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 0
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 16\42 || 457.143 || 142.857 || 6 || 5 || 1.200 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 1\26
| | 46.15
| |  
|-
|-
| |  
| || || || || 13\34 || || 458.824 || 141.176 || 5 || 4 || 1.250 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 1\24
| |  
| | 50
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 23\60 || 460.000 || 140.000 || 9 || 7 || 1.286 || Fifive/crepuscular/fifives
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 2\46
| | 52.17
| style="text-align:center;" | Shrutar is around here
|-
|-
| |  
| || || || 10\26 || || || 461.538 || 138.462 || 4 || 3 || 1.333 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| | 1\22
| |  
| |  
| | 54.55
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 27\70 || 462.857 || 137.143 || 11 || 8 || 1.375 ||  
| |  
| |  
| |  
| |  
| |  
| | 1\20
| |  
| |  
| |  
| | 60
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 17\44 || || 463.636 || 136.364 || 7 || 5 || 1.400 ||  
| |  
| |  
| |  
| |  
| | 1\18
| |  
| |  
| |  
| |  
| | 66.67
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 24\62 || 464.516 || 135.484 || 10 || 7 || 1.428 ||  
| |  
| |  
| |  
| | 1\16
| |  
| |  
| |  
| |  
| |  
| | 75
| style="text-align:center;" |  
|-
|-
| |  
| || || 7\18 || || || || 466.667 || 133.333 || 3 || 2 || 1.500 || L/s = 3/2
| |  
| |  
| | 1\14
| |  
| |  
| |  
| |  
| |  
| |  
| | 85.71
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || || || || 25\64 || 468.750 || 131.250 || 11 || 7 || 1.571 ||  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 600/(3+pi)
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
|-
| |  
| || || || || 18\46 || || 469.565 || 130.435 || 8 || 5 || 1.600 ||  
| |  
| | 1\12
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 100
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || || || || || 29\74 || 470.270 || 129.730 || 13 || 8 || 1.625 || Unnamed golden tuning
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 600/(3+e)
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
|-
| |  
| || || || 11\28 || || || 471.429 || 128.571 || 5 || 3 || 1.667 || Supersharp/octokaidecal is around here
| |  
| |  
| |  
| | 3\34
| |  
| |  
| |  
| |  
| |
| | 105.88
| style="text-align:center;" | Srutal/Pajara is around here
|-
|-
| |  
| || || || || || 26\66 || 472.727 || 127.273 || 12 || 7 || 1.714 ||  
| |  
| |  
| |  
| |  
| |  
| | 8\90
| |
| |  
| |  
| | 106.67
| |  
|-
|-
| |  
| || || || || 15\38 || || 473.864 || 126.316 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 21\236
| |  
| | 106.78
| |  
|-
|-
| |  
| || || || || || 19\48 || 475.000 || 125.000 || 9 || 5 || 1.800 ||
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 34\382
| | 106.81
| |  
|-
|-
| |  
| || 4\10 || || || || || 480.000 || 120.000 || 2 || 1 || 2.000 || Basic 2L 6s<br>(Generators smaller than this are proper)
| |  
| |  
| |  
| |  
| |  
| |  
| | 13\146
| |  
| |  
| | 106.85
| |  
|-
|-
| |  
| || || || || || 17\42 || 485.714 || 114.286 || 9 || 4 || 2.250 ||
| |  
| |  
| |  
| |  
| | 5\56
| |  
| |  
| |  
| |  
| | 107.14
| |  
|-
|-
| |  
| || || || || 13\32 || || 487.500 || 112.500 || 7 || 3 || 2.333 ||  
| |  
| |  
| | 2\22
| |  
| |  
| |  
| |  
| |  
| |  
| | 109.09
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 22\54 || 488.889 || 111.111 || 12 || 5 || 2.400 ||
| | 1\10
| |
| |
| |
| |
| |
| |
| |
| |
| | 120
| style="text-align:center;" | Boundary of propriety
 
(generators larger than this are proper)
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 600/(3+sqrt(3))
| |
|-
| |
| |
| |
| | 3\28
| |
| |
| |
| |
| |
| |
| | 128.57
| style="text-align:center;" | Supersharp
|-
| |
| |
| |  
| |  
| |  
| | 8\74
| |
| |
| |
| |  
| | 129.73
| style="text-align:center;" | Supersharp
|-
| |
| |
| |
| |
| |
| |
| |
| | 21\194
| |
| |  
| | 129.9
| |
|-
| |  
| |
| |
| |
| |
| |
| |
| |
| |
| | 55\508
| | 129.92
| style="text-align:center;" | Unnamed golden temperament
|-
| |
| |
| |
| |
| |
| |
| |
| |
| | 34\314
| |  
| | 129.94
| |  
|-
|-
| |  
| || || || 9\22 || || || 490.909 || 109.091 || 5 || 2 || 2.500 || Srutal/pajara
| |  
| |  
| |  
| |  
| |  
| | 13\120
| |  
| |  
| |  
| | 130
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 23\56 || 492.857 || 107.143 || 13 || 5 || 2.600 || Srutal/keen
| |  
| |  
| |  
| | 5\46
| |  
| |  
| |  
| |  
| |
| | 130.43
| style="text-align:center;" | Twothirdtonic
|-
|-
| |  
| || || || || 14\34 || || 494.118 || 105.882 || 8 || 3 || 2.667 || Srutal
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 600/(3+pi/2)
| |  
|-
|-
| |  
| || || || || || 19\46 || 495.652 || 104.348 || 11 || 4 || 2.750 || Srutal/diaschismic
| |  
| | 2\18
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 133.33
| style="text-align:center;" | Optimum rank range (L/s=3/2)
|-
|-
|
| || || 5\12 || || || || 500.000 || 100.000 || 3 || 1 || 3.000 || L/s = 3/1
|
|
|3\26
|
|
|
|
|
|
|138.46
|`
|-
|-
|
| || || || || || 16\38 || 505.263 || 94.737 || 10 || 3 || 3.333 || Bimeantone (incomplete)
|
|
|
|4\34
|
|
|
|
|
|141.18
|
|-
|-
|
| || || || || 11\26 || || 507.692 || 92.308 || 7 || 2 || 3.500 || Teff/pombe (incomplete)
|
|
|
|
|5\42
|
|
|
|
|142.86
|
|-
|-
|
| || || || || || 17\40 || 510.000 || 90.000 || 11 || 3 || 3.667 ||  
|
|
|
|
|
|
|11\92
|
|
|143.48
|
|-
|-
|
| || || || 6\14 || || || 514.286 || 85.714 || 4 || 1 || 4.000 ||
|
|
|
|
|
|6\50
|
|
|
|144
|
|-
|-
|
| || || || || || 13\30 || 520.000 || 80.000 || 9 || 2 || 4.500 ||  
|
|
|
|
|
|
|7\58
|
|
|144.83
|
|-
|-
|
| || || || || 7\16 || || 525.000 || 75.000 || 5 || 1 || 5.000 ||  
|
|
|
|
|
|
|
|8\66
|
|145.455
|
|-
|-
|
| || || || || || 8\18 || 533.333 || 66.667 || 6 || 1 || 6.000 || Shrutar (incomplete)↓
|
|
|
|
|
|
|
|
|9\47
|145.95
|
|-
|-
| | 1\8
| 1\2 || || || || || || 600.000 || 0.000 || 1 || 0 || → inf ||
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| |  
| | 150
| style="text-align:center;" |  
|}
|}


[[Category:Scales]]
[[Category:Scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
Retrieved from "https://en.xen.wiki/w/2L_6s"