3L 8s: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
! colspan="2" |Gen
!Cents
!L:s
!Comments
|-
|-
| | 1\3
| | 1\3
| |  
| |  
| | 400
| | 400
| |  
|∞
| | Paucitonic, 3edo
|-
|-
| | 18\53
| | 18\53
| |  
| |  
| | 407.547
| | 407.547
|
| | Ditonic
| | Ditonic
|-
|-
Line 26: Line 32:
| |  
| |  
| | 408.000
| | 408.000
|
| |  
| |  
|-
|-
Line 31: Line 38:
| |  
| |  
| | 408.511
| | 408.511
|
| |  
| |  
|-
|-
Line 36: Line 44:
| |  
| |  
| | 409.091
| | 409.091
|
| |  
| |  
|-
|-
Line 41: Line 50:
| |  
| |  
| | 409.756
| | 409.756
|
| |  
| |  
|-
|-
Line 46: Line 56:
| |  
| |  
| | 410.526
| | 410.526
|
| |  
| |  
|-
|-
Line 51: Line 62:
| |  
| |  
| | 411.429
| | 411.429
|
| |  
| |  
|-
|-
Line 56: Line 68:
| |  
| |  
| | 412.500
| | 412.500
|
| |  
| |  
|-
|-
Line 61: Line 74:
| |  
| |  
| | 413.793
| | 413.793
|
| | Roman
| | Roman
|-
|-
Line 66: Line 80:
| |  
| |  
| | 415.385
| | 415.385
|
| |  
| |  
|-
|-
Line 71: Line 86:
| | 17\49
| | 17\49
| | 416.3265
| | 416.3265
|
| |  
| |  
|-
|-
Line 76: Line 92:
| | 25\72
| | 25\72
| | 416.667
| | 416.667
|
| | Sqrtphi
| | Sqrtphi
|-
|-
Line 81: Line 98:
| |  
| |  
| | 417.391
| | 417.391
|
| |  
| |  
|-
|-
Line 86: Line 104:
| |  
| |  
| | 420
| | 420
|4:1
| |  
| |  
|-
|-
Line 91: Line 110:
| | 13\37
| | 13\37
| | 421.621
| | 421.621
|
| | Bossier
| | Bossier
|-
|-
Line 96: Line 116:
| |  
| |  
| | 422.956
| | 422.956
|
| |  
| |  
|-
|-
Line 101: Line 122:
| |  
| |  
| | 423.529
| | 423.529
|3:1
| |  
| |  
|-
|-
Line 106: Line 128:
| |  
| |  
| | 424.76
| | 424.76
|
| |  
| |  
|-
|-
Line 111: Line 134:
| | 17\48
| | 17\48
| | 425
| | 425
|
| |  
| |  
|-
|-
Line 116: Line 140:
| |  
| |  
| | 425.23
| | 425.23
|
| |  
| |  
|-
|-
Line 121: Line 146:
| | 11\31
| | 11\31
| | 425.806
| | 425.806
|5:2
| | Squares
| | Squares
|-
|-
Line 126: Line 152:
| | 16\45
| | 16\45
| | 426.667
| | 426.667
|
| |  
| |  
|-
|-
Line 131: Line 158:
| |  
| |  
| | 428.521
| | 428.521
|2:1
| |  
| |  
|-
|-
Line 136: Line 164:
| | 19\53
| | 19\53
| | 430.187
| | 430.187
|
| |  
| |  
|-
|-
Line 141: Line 170:
| |  
| |  
| | 430.312
| | 430.312
|
| |  
| |  
|-
|-
Line 146: Line 176:
| | 14\39
| | 14\39
| | 430.769
| | 430.769
|
| |  
| |  
|-
|-
Line 151: Line 182:
| |  
| |  
| | 431.1185
| | 431.1185
|
| |  
| |  
|-
|-
Line 156: Line 188:
| | 23\64
| | 23\64
| | 431.25
| | 431.25
|
| |  
| |  
|-
|-
Line 161: Line 194:
| |  
| |  
| | 431.465
| | 431.465
|
| |  
| |  
|-
|-
Line 166: Line 200:
| |  
| |  
| | 432
| | 432
|3:2
| |  
| |  
|-
|-
Line 171: Line 206:
| | 22\61
| | 22\61
| | 432.787
| | 432.787
|
| |  
| |  
|-
|-
Line 176: Line 212:
| |  
| |  
| | 433.333
| | 433.333
|
| |  
| |  
|-
|-
Line 181: Line 218:
| |  
| |  
| | 434.043
| | 434.043
|
| |  
| |  
|-
|-
Line 186: Line 224:
| |  
| |  
| | 434.483
| | 434.483
|
| |  
| |  
|-
|-
Line 191: Line 230:
| |  
| |  
| | 434.783
| | 434.783
|7:6
| |  
| |  
|-
|29\80
|
|435
|8:7
|
|-
|33\91
|
|435.164
|9:8
|
|-
|-
| | 4\11
| | 4\11
| |  
| |  
| | 436.364
| | 436.364
| |  
|1:1
| | Equalized, 11edo
|}
|}


[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]

Revision as of 13:23, 4 March 2022

↖ 2L 7s ↑ 3L 7s 4L 7s ↗
← 2L 8s 3L 8s 4L 8s →
↙ 2L 9s ↓ 3L 9s 4L 9s ↘
Scale structure
Step pattern LssLsssLsss
sssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 7\11 to 2\3 (763.6 ¢ to 800.0 ¢)
Dark 1\3 to 4\11 (400.0 ¢ to 436.4 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 3L 5s
Sister 8L 3s
Daughters 11L 3s, 3L 11s
Neutralized 6L 5s
2-Flought 14L 8s, 3L 19s
Equal tunings
Equalized (L:s = 1:1) 7\11 (763.6 ¢)
Supersoft (L:s = 4:3) 23\36 (766.7 ¢)
Soft (L:s = 3:2) 16\25 (768.0 ¢)
Semisoft (L:s = 5:3) 25\39 (769.2 ¢)
Basic (L:s = 2:1) 9\14 (771.4 ¢)
Semihard (L:s = 5:2) 20\31 (774.2 ¢)
Hard (L:s = 3:1) 11\17 (776.5 ¢)
Superhard (L:s = 4:1) 13\20 (780.0 ¢)
Collapsed (L:s = 1:0) 2\3 (800.0 ¢)
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This scale, with a generator between 1\3 octave (400 cents) and 4\11 octave (436 4/11), has versions relating to ditonic/coditone, roman, bossier, sqrtphi and squares.

Gen Cents L:s Comments
1\3 400 ∞ Paucitonic, 3edo
18\53 407.547 Ditonic
17\50 408.000
16\47 408.511
15\44 409.091
14\41 409.756
13\38 410.526
12\35 411.429
11\32 412.500
10\29 413.793 Roman
9\26 415.385
17\49 416.3265
25\72 416.667 Sqrtphi
8\23 417.391
7\20 420 4:1
13\37 421.621 Bossier
422.956
6\17 423.529 3:1
424.76
17\48 425
425.23
11\31 425.806 5:2 Squares
16\45 426.667
5\14 428.521 2:1
19\53 430.187
430.312
14\39 430.769
431.1185
23\64 431.25
431.465
9\25 432 3:2
22\61 432.787
13\36 433.333
17\47 434.043
21\58 434.483
25\69 434.783 7:6
29\80 435 8:7
33\91 435.164 9:8
4\11 436.364 1:1 Equalized, 11edo
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