2L 6s: Difference between revisions

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Two notable harmonic entropy minima for this [[MOS scale|MOS]] pattern are [[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 interval with three [[Interval variety|interval varieties]] rather than two.
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]].
== Modes ==
 
{{MOS modes}}
== Name ==
{{TAMNAMS name}}
 
== Scale properties ==
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}


== Scale tree ==
== Scale tree ==
{| class="wikitable center-all"
{{MOS tuning spectrum
! colspan="6" rowspan="2" | Generator
| 9/7 = Fifive/crepuscular/fifives
! colspan="2" | Cents
| 13/8 = Unnamed golden tuning
! rowspan="2" | L
| 5/3 = Supersharp/octokaidecal is around here
! rowspan="2" | s
| 5/2 = Srutal/pajara
! rowspan="2" | L/s
| 13/5 = Srutal/keen
! rowspan="2" | Comments
| 8/3 = Srutal
|-
| 11/4 = Srutal/diaschismic
! Chroma-positive
| 10/3 = Bimeantone (incomplete)
! Chroma-negative
| 7/2 = Injera (incomplete)
|-
| 6/1 = Shrutar, teff/pombe (incomplete)↓
| 3\8 || || || || || || 450.000 || 150.000 || 1 || 1 || 1.000 ||
}}
|-
| || || || || || 16\42 || 457.143 || 142.857 || 6 || 5 || 1.200 ||
|-
| || || || || 13\34 || || 458.824 || 141.176 || 5 || 4 || 1.250 ||
|-
| || || || || || 23\60 || 460.000 || 140.000 || 9 || 7 || 1.286 || Fifive/crepuscular/fifives
|-
| || || || 10\26 || || || 461.538 || 138.462 || 4 || 3 || 1.333 ||
|-
| || || || || || 27\70 || 462.857 || 137.143 || 11 || 8 || 1.375 ||
|-
| || || || || 17\44 || || 463.636 || 136.364 || 7 || 5 || 1.400 ||
|-
| || || || || || 24\62 || 464.516 || 135.484 || 10 || 7 || 1.428 ||
|-
| || || 7\18 || || || || 466.667 || 133.333 || 3 || 2 || 1.500 || L/s = 3/2
|-
| || || || || || 25\64 || 468.750 || 131.250 || 11 || 7 || 1.571 ||
|-
| || || || || 18\46 || || 469.565 || 130.435 || 8 || 5 || 1.600 ||
|-
| || || || || || 29\74 || 470.270 || 129.730 || 13 || 8 || 1.625 || Unnamed golden tuning
|-
| || || || 11\28 || || || 471.429 || 128.571 || 5 || 3 || 1.667 || Supersharp/octokaidecal is around here
|-
| || || || || || 26\66 || 472.727 || 127.273 || 12 || 7 || 1.714 ||
|-
| || || || || 15\38 || || 473.864 || 126.316 || 7 || 4 || 1.750 ||
|-
| || || || || || 19\48 || 475.000 || 125.000 || 9 || 5 || 1.800 ||
|-
| || 4\10 || || || || || 480.000 || 120.000 || 2 || 1 || 2.000 || Basic 2L 6s<br>(Generators smaller than this are proper)
|-
| || || || || || 17\42 || 485.714 || 114.286 || 9 || 4 || 2.250 ||
|-
| || || || || 13\32 || || 487.500 || 112.500 || 7 || 3 || 2.333 ||
|-
| || || || || || 22\54 || 488.889 || 111.111 || 12 || 5 || 2.400 ||
|-
| || || || 9\22 || || || 490.909 || 109.091 || 5 || 2 || 2.500 || Srutal/pajara
|-
| || || || || || 23\56 || 492.857 || 107.143 || 13 || 5 || 2.600 || Srutal/keen
|-
| || || || || 14\34 || || 494.118 || 105.882 || 8 || 3 || 2.667 || Srutal
|-
| || || || || || 19\46 || 495.652 || 104.348 || 11 || 4 || 2.750 || Srutal/diaschismic
|-
| || || 5\12 || || || || 500.000 || 100.000 || 3 || 1 || 3.000 || L/s = 3/1
|-
| || || || || || 16\38 || 505.263 || 94.737 || 10 || 3 || 3.333 || Bimeantone (incomplete)
|-
| || || || || 11\26 || || 507.692 || 92.308 || 7 || 2 || 3.500 || Injera (incomplete)
|-
| || || || || || 17\40 || 510.000 || 90.000 || 11 || 3 || 3.667 ||
|-
| || || || 6\14 || || || 514.286 || 85.714 || 4 || 1 || 4.000 ||
|-
| || || || || || 13\30 || 520.000 || 80.000 || 9 || 2 || 4.500 ||
|-
| || || || || 7\16 || || 525.000 || 75.000 || 5 || 1 || 5.000 ||
|-
| || || || || || 8\18 || 533.333 || 66.667 || 6 || 1 || 6.000 || Shrutar, teff/pombe (incomplete)↓
|-
| 1\2 || || || || || || 600.000 || 0.000 || 1 || 0 || → inf ||
|}


[[Category:8-tone scales]]
[[Category:8-tone scales]]