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8L 6s

Revision as of 14:53, 3 March 2025 by ArrowHead294 (talk | contribs)

8L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 6 small steps, with a period of 4 large steps and 3 small steps that repeats every 600.0 ¢, or twice every octave. 8L 6s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 428.6 ¢ to 450 ¢, or from 150 ¢ to 171.4 ¢.

↖ 7L 5s ↑ 8L 5s 9L 5s ↗
← 7L 6s 8L 6s 9L 6s →
↙ 7L 7s ↓ 8L 7s 9L 7s ↘
Scale structure
Step pattern LLsLsLsLLsLsLs
sLsLsLLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 5\14 to 3\8 (428.6 ¢ to 450.0 ¢)
Dark 1\8 to 2\14 (150.0 ¢ to 171.4 ¢)
TAMNAMS information
Related to 6L 2s (ekic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 2s
Sister 6L 8s
Daughters 14L 8s, 8L 14s
Neutralized 2L 12s
2-Flought 22L 6s, 8L 20s
Equal tunings
Equalized (L:s = 1:1) 5\14 (428.6 ¢)
Supersoft (L:s = 4:3) 18\50 (432.0 ¢)
Soft (L:s = 3:2) 13\36 (433.3 ¢)
Semisoft (L:s = 5:3) 21\58 (434.5 ¢)
Basic (L:s = 2:1) 8\22 (436.4 ¢)
Semihard (L:s = 5:2) 19\52 (438.5 ¢)
Hard (L:s = 3:1) 11\30 (440.0 ¢)
Superhard (L:s = 4:1) 14\38 (442.1 ¢)
Collapsed (L:s = 1:0) 3\8 (450.0 ¢)
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Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
  Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 8L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
5\14 428.571 171.429 1:1 1.000 Equalized 8L 6s
38\106 430.189 169.811 8:7 1.143
33\92 430.435 169.565 7:6 1.167
61\170 430.588 169.412 13:11 1.182
28\78 430.769 169.231 6:5 1.200
79\220 430.909 169.091 17:14 1.214
51\142 430.986 169.014 11:9 1.222
74\206 431.068 168.932 16:13 1.231
23\64 431.250 168.750 5:4 1.250
87\242 431.405 168.595 19:15 1.267
64\178 431.461 168.539 14:11 1.273
105\292 431.507 168.493 23:18 1.278
41\114 431.579 168.421 9:7 1.286
100\278 431.655 168.345 22:17 1.294
59\164 431.707 168.293 13:10 1.300
77\214 431.776 168.224 17:13 1.308
18\50 432.000 168.000 4:3 1.333 Supersoft 8L 6s
85\236 432.203 167.797 19:14 1.357
67\186 432.258 167.742 15:11 1.364
116\322 432.298 167.702 26:19 1.368
49\136 432.353 167.647 11:8 1.375
129\358 432.402 167.598 29:21 1.381
80\222 432.432 167.568 18:13 1.385
111\308 432.468 167.532 25:18 1.389
31\86 432.558 167.442 7:5 1.400
106\294 432.653 167.347 24:17 1.412
75\208 432.692 167.308 17:12 1.417
119\330 432.727 167.273 27:19 1.421
44\122 432.787 167.213 10:7 1.429
101\280 432.857 167.143 23:16 1.438
57\158 432.911 167.089 13:9 1.444
70\194 432.990 167.010 16:11 1.455
13\36 433.333 166.667 3:2 1.500 Soft 8L 6s
73\202 433.663 166.337 17:11 1.545
60\166 433.735 166.265 14:9 1.556
107\296 433.784 166.216 25:16 1.562
47\130 433.846 166.154 11:7 1.571 Pogo is around here
128\354 433.898 166.102 30:19 1.579
81\224 433.929 166.071 19:12 1.583
115\318 433.962 166.038 27:17 1.588
34\94 434.043 165.957 8:5 1.600
123\340 434.118 165.882 29:18 1.611
89\246 434.146 165.854 21:13 1.615
144\398 434.171 165.829 34:21 1.619
55\152 434.211 165.789 13:8 1.625
131\362 434.254 165.746 31:19 1.632
76\210 434.286 165.714 18:11 1.636
97\268 434.328 165.672 23:14 1.643
21\58 434.483 165.517 5:3 1.667 Semisoft 8L 6s
92\254 434.646 165.354 22:13 1.692
71\196 434.694 165.306 17:10 1.700
121\334 434.731 165.269 29:17 1.706
50\138 434.783 165.217 12:7 1.714 Echidna is around here
129\356 434.831 165.169 31:18 1.722
79\218 434.862 165.138 19:11 1.727
108\298 434.899 165.101 26:15 1.733
29\80 435.000 165.000 7:4 1.750
95\262 435.115 164.885 23:13 1.769
66\182 435.165 164.835 16:9 1.778
103\284 435.211 164.789 25:14 1.786
37\102 435.294 164.706 9:5 1.800
82\226 435.398 164.602 20:11 1.818
45\124 435.484 164.516 11:6 1.833
53\146 435.616 164.384 13:7 1.857 Hedgehog is optimal around here
8\22 436.364 163.636 2:1 2.000 Basic 8L 6s
Scales with tunings softer than this are proper
51\140 437.143 162.857 13:6 2.167 Urchin is around here
43\118 437.288 162.712 11:5 2.200 Gwazy, Bisupermajor are around here
78\214 437.383 162.617 20:9 2.222
35\96 437.500 162.500 9:4 2.250
97\266 437.594 162.406 25:11 2.273
62\170 437.647 162.353 16:7 2.286
89\244 437.705 162.295 23:10 2.300
27\74 437.838 162.162 7:3 2.333
100\274 437.956 162.044 26:11 2.364
73\200 438.000 162.000 19:8 2.375
119\326 438.037 161.963 31:13 2.385
46\126 438.095 161.905 12:5 2.400
111\304 438.158 161.842 29:12 2.417
65\178 438.202 161.798 17:7 2.429
84\230 438.261 161.739 22:9 2.444
19\52 438.462 161.538 5:2 2.500 Semihard 8L 6s
87\238 438.655 161.345 23:9 2.556
68\186 438.710 161.290 18:7 2.571
117\320 438.750 161.250 31:12 2.583
49\134 438.806 161.194 13:5 2.600
128\350 438.857 161.143 34:13 2.615
79\216 438.889 161.111 21:8 2.625
109\298 438.926 161.074 29:11 2.636
30\82 439.024 160.976 8:3 2.667
101\276 439.130 160.870 27:10 2.700
71\194 439.175 160.825 19:7 2.714
112\306 439.216 160.784 30:11 2.727
41\112 439.286 160.714 11:4 2.750
93\254 439.370 160.630 25:9 2.778
52\142 439.437 160.563 14:5 2.800
63\172 439.535 160.465 17:6 2.833
11\30 440.000 160.000 3:1 3.000 Hard 8L 6s
58\158 440.506 159.494 16:5 3.200
47\128 440.625 159.375 13:4 3.250
83\226 440.708 159.292 23:7 3.286
36\98 440.816 159.184 10:3 3.333
97\264 440.909 159.091 27:8 3.375
61\166 440.964 159.036 17:5 3.400
86\234 441.026 158.974 24:7 3.429
25\68 441.176 158.824 7:2 3.500
89\242 441.322 158.678 25:7 3.571
64\174 441.379 158.621 18:5 3.600
103\280 441.429 158.571 29:8 3.625
39\106 441.509 158.491 11:3 3.667
92\250 441.600 158.400 26:7 3.714
53\144 441.667 158.333 15:4 3.750
67\182 441.758 158.242 19:5 3.800
14\38 442.105 157.895 4:1 4.000 Superhard 8L 6s
59\160 442.500 157.500 17:4 4.250
45\122 442.623 157.377 13:3 4.333
76\206 442.718 157.282 22:5 4.400
31\84 442.857 157.143 9:2 4.500
79\214 442.991 157.009 23:5 4.600
48\130 443.077 156.923 14:3 4.667
65\176 443.182 156.818 19:4 4.750
17\46 443.478 156.522 5:1 5.000
54\146 443.836 156.164 16:3 5.333
37\100 444.000 156.000 11:2 5.500
57\154 444.156 155.844 17:3 5.667
20\54 444.444 155.556 6:1 6.000
43\116 444.828 155.172 13:2 6.500
23\62 445.161 154.839 7:1 7.000
26\70 445.714 154.286 8:1 8.000
3\8 450.000 150.000 1:0 → ∞ Collapsed 8L 6s
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