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3L 7s: Difference between revisions

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== Scales tree ==
== Scales tree ==
 
{| class="wikitable center-all"
{| class="wikitable"
|-
! colspan="6" | Generator
! colspan="6" | Generator
! | Cents
! Cents
! | L
! L
! | s
! s
! | Comments
! L/s
|-
! Comments
| | 3\10
| |
| |
| |
| |
| |
| | 360
| | 120
| | 120
| style="text-align:center;" |
|-
| | 28\93
| |
| |
| |
| |
| |
| | 361.290
| | 129.032
| | 116.129
| style="text-align:center;" | Circulating temperament
All degrees within 1/3 diesis of 10edo
|-
| | 25\83
| |
| |
| |
| |
| |
| | 361.446
| | 130.1205
| | 115.663
| style="text-align:center;" |
|-
| | 22\73
| |
| |
| |
| |
| |
| | 361.644
| | 131.507
| | 115.0685
| style="text-align:center;" |
|-
| | 19\63
| |
| |
| |
| |
| |
| | 361.905
| | 133.333
| | 114.286
| style="text-align:center;" |
|-
| | 16\53
| |
| |
| |
| |
| |
| | 362.264
| | 135.849
| | 113.2075
| style="text-align:center;" |
|-
| | 13\43
| |
| |
| |
| |
| |
| | 362.791
| | 139.535
| | 111.628
| style="text-align:center;" |
|-
| | 10\33
| |
| |
| |
| |
| |
| | 363.636
| | 145.455
| | 109.091
| style="text-align:center;" |
|-
| | 7\23
| |
| |
| |
| |
| |
| | 365.217
| | 156.522
| | 104.348
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 365.848
| | 160.937
| | 102.456
| |
|-
| |
| | 18\59
| |
| |
| |
| |
| | 366.102
| | 162.712
| | 104.29
| style="text-align:center;" |
|-
| |
| |
| | 47\154
| |
| |
| |
| | 366.234
| | 163.636
| | 101.299
| style="text-align:center;" |
|-
| |
| |
| |
| | 123\403
| |
| |
| | 366.253
| | 163.771
| | 101.241
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 322\1055
| |
| | 366.256
| | 163.791
| | 101.232
| |
|-
| |
| |
| |
| |
| |
| | 521\1707
| | 366.257
| | 163.796
| | 101.230
| style="text-align:center;" | Golden Sephiroth
|-
| |
| |
| |
| |
| | 199\652
| |
| | 366.258
| | 163.804
| | 101.227
|-
| |
| |
| |
| | 76\249
| |
| |
| | 366.265
| | 163.855
| | 101.205
| style="text-align:center;" |
|-
| |
| |
| | 29\95
| |
| |
| |
| | 366.316
| | 164.2105
| | 101.053
| style="text-align:center;" |
|-
| |
| | 11\36
| |
| |
| |
| |
| | 366.667
| | 166.667
| | 100
| style="text-align:center;" |
|-
|-
| |  
| 3\10 || || || || || || 360.000 || 1 || 1 || 1.000 ||  
| |  
| |  
| |  
| |  
| |  
| | 367.203
| | 170.419
| | 98.392
| |  
|-
|-
| |  
| || || || || || 16\53 || 362.264 || 6 || 5 || 1.200 || Submajor
| | 15\49
| |  
| |  
| |  
| |  
| | 367.347
| | 171.429
| | 97.959
| style="text-align:center;" |  
|-
|-
| | 4\13
| || || || || 13\43 || || 362.791 || 5 || 4 || 1.250 ||  
| |  
| |  
| |  
| |  
| |  
| | 369.231
| | 184.615
| | 92.308
| style="text-align:center;" | Boundary of propriety
 
(smaller generators are proper)
|-
|-
| |  
| || || || || || 23\76 || 363.158 || 9 || 7 || 1.286 ||  
| | 13\42
| |  
| |  
| |  
| |  
| | 371.429
| | 200
| | 85.714
| style="text-align:center;" |  
|-
|-
| |  
| || || || 10\33 || || || 363.636 || 4 || 3 || 1.333 ||  
| | 9\29
| |  
| |  
| |  
| |  
| | 372.414
| | 206.897
| | 82.759
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 27\89 || 364.045 || 11 || 8 || 1.375 ||  
| |  
| | 23\74
| |  
| |  
| |  
| | 372.973
| | 210.811
| | 81.081
| |  
|-
|-
| |  
| || || || || 17\56 || || 364.286 || 7 || 5 || 1.400 ||  
| |  
| |  
| | 60\193
| |  
| |  
| | 373.057
| | 211.399
| | 80.829
| |  
|-
|-
| |  
| || || || || || 24\79 || 364.557 || 10 || 7 || 1.428 ||  
| |  
| |  
| |  
| | 157\505
| |  
| | 373.069
| | 211.485
| | 80.792
| |  
|-
|-
| |  
| || || 7\23 || || || || 365.217 || 3 || 2 || 1.500 || L/s = 3/2
| |  
| |  
| |  
| |  
| | 411\1322
| | 373.071
| | 211.498
| | 80.787
| |  
|-
|-
| |  
| || || || || || 25\82 || 365.854 || 11 || 7 || 1.571 ||  
| |  
| |  
| |  
| | 254\817
| |  
| | 373.072
| | 211.5055
| | 80.783
| |  
|-
|-
| |  
| || || || || 18\59 || || 366.102 || 8 || 5 || 1.600 ||  
| |  
| |  
| | 97\312
| |  
| |  
| | 373.077
| | 211.5385
| | 80.769
| |  
|-
|-
| |  
| || || || || || 29\95 || 366.316 || 13 || 8 || 1.625 || Unnamed golden tuning
| |  
| | 37\119
| |  
| |  
| |  
| | 373.109
| | 211.765
| | 80.672
| |  
|-
|-
| |  
| || || || 11\36 || || || 366.667 || 5 || 3 || 1.667 ||  
| | 14\45
| |  
| |  
| |  
| |  
| | 373.333
| | 213.333
| | 80
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 26\85 || 367.059 || 12 || 7 || 1.714 ||  
| |  
| |  
| |  
| |  
| |  
| | 374.870
| | 224.090
| | 79.183
| |  
|-
|-
| | 5\16
| || || || || 15\49 || || 367.347 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| |  
| |  
| | 375
| | 225
| | 75
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 19\62 || 367.742 || 9 || 5 || 1.800 ||
| |  
| |  
| |  
| |  
| |  
| | 375.130
| | 225.910
| | 73.06
| |  
|-
|-
| |  
| || 4\13 || || || || || 369.231 || 2 || 1 || 2.000 || Basic sephiroid<br>(Generators smaller than this are proper)
| | 11\35
| |  
| |  
| |  
| |  
| | 377.143
| | 240
| | 68.571
| style="text-align:center;" |  
|-
|-
| | 6\19
| || || || || || 17\55 || 370.909 || 9 || 4 || 2.250 ||
| |  
| |  
| |  
| |  
| |  
| | 378.947
| | 252.632
| | 63.158
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 13\42 || || 371.429 || 7 || 3 || 2.333 ||  
| | 19\60
| |  
| |  
| |  
| |  
| | 380
| | 260
| | 60
| style="text-align:center;" | Magic is around here
|-
|-
| |  
| || || || || || 22\71 || 371.831 || 12 || 5 || 2.400 ||
| | 13\41
| |  
| |  
| |  
| |  
| | 380.488
| | 263.415
| | 58.537
| style="text-align:center;" |  
|-
|-
| |  
| || || || 9\29 || || || 372.414 || 5 || 2 || 2.500 || Sephiroth
| | 20\63
| |  
| |  
| |  
| |  
| | 380.952
| | 266.667
| | 57.143
| style="text-align:center;" |  
|-
|-
| | 7\22
| || || || || || 23\74 || 372.973 || 13 || 5 || 2.600 || Golden sephiroth
| |  
| |  
| |  
| |  
| |  
| | 381.818
| | 272.72
| | 54.545
| style="text-align:center;" |  
|-
|-
| | 8\25
| || || || || 14\45 || || 373.333 || 8 || 3 || 2.667 ||
| |  
| |  
| |  
| |  
| |  
| | 384
| | 288
| | 48
| style="text-align:center;" |  
|-
|-
| | 9\28
| || || || || || 19\61 || 373.770 || 11 || 4 || 2.750 ||
| |  
| |  
| |  
| |  
| |  
| | 385.714
| | 300
| | 42.857
| style="text-align:center;" |  
|-
|-
| | 10\31
| || || 5\16 || || || || 375.000 || 3 || 1 || 3.000 || L/s = 3/1
| |  
| |  
| |  
| |  
| |  
| | 387.097
| | 309.677
| | 38.710
| style="text-align:center;" |
|-
|-
| |  
| || || || || || 16\51 || 376.471 || 10 || 3 || 3.333 ||
| | 21\65
| |  
| |  
| |  
| |  
| | 387.692
| | 313.846
| | 36.923
| style="text-align:center;" | Würschmidt is around here
|-
|-
| | 11\34
| || || || || 11\35 || || 377.143 || 7 || 2 || 3.500 ||  
| |  
| |  
| |  
| |  
| |  
| | 388.235
| | 317.647
| | 35.294
| style="text-align:center;" |  
|-
|-
| | 12\37
| || || || || || 17\54 || 377.778 || 11 || 3 || 3.667 || Muggles
| |  
| |  
| |  
| |  
| |  
| | 389.189
| | 324.324
| | 32.432
| style="text-align:center;" |  
|-
|-
| | 13\40
| || || || 6\19 || || || 378.947 || 4 || 1 || 4.000 || Magic/horcrux
| |  
| |  
| |  
| |  
| |  
| | 390
| | 330
| | 30
| |  
|-
|-
| | 14\43
| || || || || || 13\41 || 380.488 || 9 || 2 || 4.500 || Magic/witchcraft
| |  
| |  
| |  
| |  
| |  
| | 390.698
| | 334.884
| | 27,907
| |  
|-
|-
| |  
| || || || || 7\22 || || 381.818 || 5 || 1 || 5.000 || Magic/telepathy
| | 29\89
| |  
| |  
| |  
| |  
| | 391.011
| | 337.079
| | 26.966
| style="text-align:center;" | Amigo is around here
|-
|-
| | 15\46
| || || || || || 8\25 || 384.000 || 6 || 1 || 6.000 || Würschmidt↓
| |  
| |  
| |  
| |  
| |  
| | 391.304
| | 339.130
| | 26.087
| |  
|-
|-
| | 1\3
| 1\3 || || || || || || 400.000 || 1 || 0 || → inf ||
| |  
| |  
| |  
| |  
| |  
| | 400
| | 400
| | 0
| style="text-align:center;" |  
|}
|}
L=1 s=1 [[10edo|10edo]]
L=2 s=1 [[13edo|13edo]]
(L=3 s=1 [[16edo|16edo]])
L=3 s=2 [[23edo|23edo]]
(L=4 s=1 [[19edo|19edo]])
L=4 s=3 [[33edo|33edo]]
(L=5 s=1 [[22edo|22edo]])
(L=5 s=2 [[29edo|29edo]])
L=5 s=3 [[36edo|36edo]]
L=5 s=4 [[43edo|43edo]]
(L=6 s=1 [[25edo|25edo)]]
L=6 s=5 [[53edo|53edo]]
L=7 s=6 [[63edo|63edo]]
L=7 s=5 [[56edo|56edo]]
L=7 s=4 [[49edo|49edo]]
etc.


[[Category:Scales]]
[[Category:Scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
Retrieved from "https://en.xen.wiki/w/3L_7s"