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1L 6s: Difference between revisions

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→Scale tree: general improvement
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Other scales include very improper (incomplete) versions of [[negri]], 12edo, etc.
Other scales include very improper (incomplete) versions of [[negri]], 12edo, etc.


== Scale tree ==
{| class="wikitable center-all"
{| class="wikitable"
! colspan="6" rowspan="2" | Generator
! colspan="2" | Cents
! rowspan="2" | L
! rowspan="2" | s
! rowspan="2" | L/s
! rowspan="2" | Comments
|-
|-
! colspan="5" | Generator
! Chroma-positive
! | Cents
! Chroma-negative
! | Comments
|-
|-
| | 0\1
| 6\7 || || || || || || 1028.571 || 171.429 || 1 || 1 || 1.000 ||  
| |  
| |  
| |  
| |  
| | 0
| style="text-align:center;" |  
|-
|-
|
| || || || || || 31\36 || 1033.333 || 166.667 || 6 || 5 || 1.200 ||
|
|
|
|1\11
|109.09
|
|-
|-
| |  
| || || || || 25\29 || || 1034.483 || 165.517 || 5 || 4 || 1.250 ||
| |  
| |  
| | 1\10
| |  
| | 120
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || || || || 44\51 || 1035.294 || 164.706 || 9 || 7 || 1.286 ||  
| |  
| |  
| |  
| | 2\19
| | 126.32
| style="text-align:center;" | Negri is around here
|-
|-
| |  
| || || || 19\22 || || || 1036.364 || 163.636 || 4 || 3 || 1.333 ||  
| |  
| |  
| |  
| |  
| | 1200/(6+pi)
| |  
|-
|-
| |  
| || || || || || 51\59 || 1037.288 || 162.712 || 11 || 8 || 1.375 ||  
| |  
| | 1\9
| |  
| |  
| | 133.33
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || || || || 32\37 || || 1037.838 || 162.162 || 7 || 5 || 1.400 || Porcupine is in this region
| |  
| |  
| |  
| |  
| | 1200/(6+e)
| |  
|-
|-
| |  
| || || || || || 45\52 || 1038.462 || 161.538 || 10 || 7 || 1.428 ||  
| |  
| |  
| |  
| | 3\26
| | 138.46
| |  
|-
|-
| |  
| || || 13\15 || || || || 1040.000 || 160.000 || 3 || 2 || 1.500 || L/s = 3/2
| |  
| |  
| |  
| |  
| | 1200/(7+phi)
| |  
|-
|-
| |  
| || || || || || 46\53 || 1041.509 || 158.491 || 11 || 7 || 1.571 || Hemikleismic
| |  
| |  
| | 2\17
| |  
| | 141,18
| |  
|-
|-
| |  
| || || || || 33\38 || || 1042.105 || 157.895 || 8 || 5 || 1.600 ||  
| | 1\8
| |  
| |  
| |  
| | 150
| style="text-align:center;" | Boundary of propriety (generators
 
larger than this are proper)
|-
|-
| |  
| || || || || || 53\61 || 1042.623 || 157.377 || 13 || 8 || 1.625 || Golden porcupine/hemikleismic (?)
| |  
| |  
| |  
| |  
| | 1200/(6+sqrt(3))
| |
|-
|-
| |  
| || || || 20\23 || || || 1043.478 || 156.522 || 5 || 3 || 1.667 ||  
| |  
| |  
| | 3\23
| |  
| | 156.52
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 47\54 || 1044.444 || 155.556 || 12 || 7 || 1.714 ||  
| |  
| |  
| |  
| |  
| | 1200/(6+phi)
| style="text-align:center;" | Golden porcupine / golden hemikleismic
|-
|-
| |  
| || || || || 27\31 || || 1045.161 || 154.839 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| | 5\38
| | 157.89
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 34\39 || 1046.154 || 153.846 || 9 || 5 || 1.800 ||
| |  
| |  
| |  
| |  
| | 1200/(6+pi/2)
| |  
|-
|-
| |  
| || 7\8 || || || || || 1050.000 || 150.000 || 2 || 1 || 2.000 || Basic antiarcheotonic<br>(Generators smaller than this are proper)
| |  
| | 2\15
| |  
| |  
| | 160
| style="text-align:center;" | Optimum rank range (L/s=3/2) porcupine
|-
|-
| |  
| || || || || || 29\33 || 1054.545 || 145.455 || 9 || 4 || 2.250 ||
| |  
| |  
| | 3\22
| |  
| | 163.64
| style="text-align:center;" | Porcupine is around here
|-
|-
|
| || || || || 22\25 || || 1056.000 || 144.000 || 7 || 3 || 2.333 ||  
|
|
|
|4\29
|165.52
|
|-
|-
| | 1\7
| || || || || || 37\42 || 1057.143 || 142.857 || 12 || 5 || 2.400 ||
| |  
|-
| |  
| || || || 15\17 || || || 1058.824 || 141.176 || 5 || 2 || 2.500 || Progression (incomplete)
| |  
|-
| |  
| || || || || || 38\43 || 1060.465 || 139.535 || 13 || 5 || 2.600 || Unnamed golden tuning
| | 171.43
|-
| style="text-align:center;" |  
| || || || || 23\26 || || 1061.538 || 138.462 || 8 || 3 || 2.667 ||
|-
| || || || || || 31\35 || 1062.857 || 137.143 || 11 || 4 || 2.750 ||
|-
| || || 8\9 || || || || 1066.667 || 133.333 || 3 || 1 || 3.000 || L/s = 3/1
|-
| || || || || || 25\28 || 1071.429 || 128.571 || 10 || 3 || 3.333 ||
|-
| || || || || 17\19 || || 1073.684 || 126.316 || 7 || 2 || 3.500 || Negri (incomplete)
|-
| || || || || || 26\29 || 1075.862 || 124.138 || 11 || 3 || 3.667 ||
|-
| || || || 9\10 || || || 1080.000 || 120.000 || 4 || 1 || 4.000 ||
|-
| || || || || || 19\21 || 1085.714 || 114.286 || 9 || 2 || 4.500 || Miracle (incomplete)
|-
| || || || || 10\11 || || 1090.909 || 109.091 || 5 || 1 || 5.000 ||  
|-
| || || || || || 11\12 || 1100.000 || 100.000 || 6 || 1 || 6.000 || Passion, ripple (incomplete)
|-
| 1\1 || || || || || || 1200.000 || 0.000 || 1 || 0 || → inf ||
|}
|}
[[Category:Scales]]
[[Category:MOS scales]]
[[Category:7-tone scales]]
[[Category:Abstract MOS patterns]]
[[Category:Antiarcheotonic| ]] <!-- main article -->
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