8L 15s
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Scale structure
Step pattern
LsLssLssLssLssLssLssLss
ssLssLssLssLssLssLssLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
20\23 to 7\8 (1043.5¢ to 1050.0¢)
Dark
1\8 to 3\23 (150.0¢ to 156.5¢)
TAMNAMS information
Descends from
7L 1s (pine)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
8L 7s
Sister
15L 8s
Daughters
23L 8s, 8L 23s
Neutralized
16L 7s
2-Flought
31L 15s, 8L 38s
Equal tunings
Equalized (L:s = 1:1)
20\23 (1043.5¢)
Supersoft (L:s = 4:3)
67\77 (1044.2¢)
Soft (L:s = 3:2)
47\54 (1044.4¢)
Semisoft (L:s = 5:3)
74\85 (1044.7¢)
Basic (L:s = 2:1)
27\31 (1045.2¢)
Semihard (L:s = 5:2)
61\70 (1045.7¢)
Hard (L:s = 3:1)
34\39 (1046.2¢)
Superhard (L:s = 4:1)
41\47 (1046.8¢)
Collapsed (L:s = 1:0)
7\8 (1050.0¢)
↖ 7L 14s | ↑ 8L 14s | 9L 14s ↗ |
← 7L 15s | 8L 15s | 9L 15s → |
↙ 7L 16s | ↓ 8L 16s | 9L 16s ↘ |
┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║││║││║││║│││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLssLssLssLssLsL
8L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 15 small steps, repeating every octave. 8L 15s is a grandchild scale of 7L 1s, expanding it by 15 tones. Generators that produce this scale range from 1043.5¢ to 1050¢, or from 150¢ to 156.5¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
22|0 | 1 | LsLssLssLssLssLssLssLss |
21|1 | 21 | LssLsLssLssLssLssLssLss |
20|2 | 18 | LssLssLsLssLssLssLssLss |
19|3 | 15 | LssLssLssLsLssLssLssLss |
18|4 | 12 | LssLssLssLssLsLssLssLss |
17|5 | 9 | LssLssLssLssLssLsLssLss |
16|6 | 6 | LssLssLssLssLssLssLsLss |
15|7 | 3 | LssLssLssLssLssLssLssLs |
14|8 | 23 | sLsLssLssLssLssLssLssLs |
13|9 | 20 | sLssLsLssLssLssLssLssLs |
12|10 | 17 | sLssLssLsLssLssLssLssLs |
11|11 | 14 | sLssLssLssLsLssLssLssLs |
10|12 | 11 | sLssLssLssLssLsLssLssLs |
9|13 | 8 | sLssLssLssLssLssLsLssLs |
8|14 | 5 | sLssLssLssLssLssLssLsLs |
7|15 | 2 | sLssLssLssLssLssLssLssL |
6|16 | 22 | ssLsLssLssLssLssLssLssL |
5|17 | 19 | ssLssLsLssLssLssLssLssL |
4|18 | 16 | ssLssLssLsLssLssLssLssL |
3|19 | 13 | ssLssLssLssLsLssLssLssL |
2|20 | 10 | ssLssLssLssLssLsLssLssL |
1|21 | 7 | ssLssLssLssLssLssLsLssL |
0|22 | 4 | ssLssLssLssLssLssLssLsL |
Intervals
Intervals | Steps subtended |
Range in cents | ||
---|---|---|---|---|
Generic | Specific | Abbrev. | ||
0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
1-mosstep | Minor 1-mosstep | m1ms | s | 0.0¢ to 52.2¢ |
Major 1-mosstep | M1ms | L | 52.2¢ to 150.0¢ | |
2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 104.3¢ |
Major 2-mosstep | M2ms | L + s | 104.3¢ to 150.0¢ | |
3-mosstep | Perfect 3-mosstep | P3ms | L + 2s | 150.0¢ to 156.5¢ |
Augmented 3-mosstep | A3ms | 2L + s | 156.5¢ to 300.0¢ | |
4-mosstep | Minor 4-mosstep | m4ms | L + 3s | 150.0¢ to 208.7¢ |
Major 4-mosstep | M4ms | 2L + 2s | 208.7¢ to 300.0¢ | |
5-mosstep | Minor 5-mosstep | m5ms | L + 4s | 150.0¢ to 260.9¢ |
Major 5-mosstep | M5ms | 2L + 3s | 260.9¢ to 300.0¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 2L + 4s | 300.0¢ to 313.0¢ |
Major 6-mosstep | M6ms | 3L + 3s | 313.0¢ to 450.0¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 2L + 5s | 300.0¢ to 365.2¢ |
Major 7-mosstep | M7ms | 3L + 4s | 365.2¢ to 450.0¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 2L + 6s | 300.0¢ to 417.4¢ |
Major 8-mosstep | M8ms | 3L + 5s | 417.4¢ to 450.0¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 3L + 6s | 450.0¢ to 469.6¢ |
Major 9-mosstep | M9ms | 4L + 5s | 469.6¢ to 600.0¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 3L + 7s | 450.0¢ to 521.7¢ |
Major 10-mosstep | M10ms | 4L + 6s | 521.7¢ to 600.0¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 3L + 8s | 450.0¢ to 573.9¢ |
Major 11-mosstep | M11ms | 4L + 7s | 573.9¢ to 600.0¢ | |
12-mosstep | Minor 12-mosstep | m12ms | 4L + 8s | 600.0¢ to 626.1¢ |
Major 12-mosstep | M12ms | 5L + 7s | 626.1¢ to 750.0¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 4L + 9s | 600.0¢ to 678.3¢ |
Major 13-mosstep | M13ms | 5L + 8s | 678.3¢ to 750.0¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 4L + 10s | 600.0¢ to 730.4¢ |
Major 14-mosstep | M14ms | 5L + 9s | 730.4¢ to 750.0¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 5L + 10s | 750.0¢ to 782.6¢ |
Major 15-mosstep | M15ms | 6L + 9s | 782.6¢ to 900.0¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 5L + 11s | 750.0¢ to 834.8¢ |
Major 16-mosstep | M16ms | 6L + 10s | 834.8¢ to 900.0¢ | |
17-mosstep | Minor 17-mosstep | m17ms | 5L + 12s | 750.0¢ to 887.0¢ |
Major 17-mosstep | M17ms | 6L + 11s | 887.0¢ to 900.0¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 6L + 12s | 900.0¢ to 939.1¢ |
Major 18-mosstep | M18ms | 7L + 11s | 939.1¢ to 1050.0¢ | |
19-mosstep | Minor 19-mosstep | m19ms | 6L + 13s | 900.0¢ to 991.3¢ |
Major 19-mosstep | M19ms | 7L + 12s | 991.3¢ to 1050.0¢ | |
20-mosstep | Diminished 20-mosstep | d20ms | 6L + 14s | 900.0¢ to 1043.5¢ |
Perfect 20-mosstep | P20ms | 7L + 13s | 1043.5¢ to 1050.0¢ | |
21-mosstep | Minor 21-mosstep | m21ms | 7L + 14s | 1050.0¢ to 1095.7¢ |
Major 21-mosstep | M21ms | 8L + 13s | 1095.7¢ to 1200.0¢ | |
22-mosstep | Minor 22-mosstep | m22ms | 7L + 15s | 1050.0¢ to 1147.8¢ |
Major 22-mosstep | M22ms | 8L + 14s | 1147.8¢ to 1200.0¢ | |
23-mosstep | Perfect 23-mosstep | P23ms | 8L + 15s | 1200.0¢ |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
20\23 | 1043.478 | 156.522 | 1:1 | 1.000 | Equalized 8L 15s | |||||
107\123 | 1043.902 | 156.098 | 6:5 | 1.200 | ||||||
87\100 | 1044.000 | 156.000 | 5:4 | 1.250 | ||||||
154\177 | 1044.068 | 155.932 | 9:7 | 1.286 | ||||||
67\77 | 1044.156 | 155.844 | 4:3 | 1.333 | Supersoft 8L 15s | |||||
181\208 | 1044.231 | 155.769 | 11:8 | 1.375 | ||||||
114\131 | 1044.275 | 155.725 | 7:5 | 1.400 | ||||||
161\185 | 1044.324 | 155.676 | 10:7 | 1.429 | ||||||
47\54 | 1044.444 | 155.556 | 3:2 | 1.500 | Soft 8L 15s | |||||
168\193 | 1044.560 | 155.440 | 11:7 | 1.571 | ||||||
121\139 | 1044.604 | 155.396 | 8:5 | 1.600 | ||||||
195\224 | 1044.643 | 155.357 | 13:8 | 1.625 | ||||||
74\85 | 1044.706 | 155.294 | 5:3 | 1.667 | Semisoft 8L 15s | |||||
175\201 | 1044.776 | 155.224 | 12:7 | 1.714 | ||||||
101\116 | 1044.828 | 155.172 | 7:4 | 1.750 | ||||||
128\147 | 1044.898 | 155.102 | 9:5 | 1.800 | ||||||
27\31 | 1045.161 | 154.839 | 2:1 | 2.000 | Basic 8L 15s Scales with tunings softer than this are proper | |||||
115\132 | 1045.455 | 154.545 | 9:4 | 2.250 | ||||||
88\101 | 1045.545 | 154.455 | 7:3 | 2.333 | ||||||
149\171 | 1045.614 | 154.386 | 12:5 | 2.400 | ||||||
61\70 | 1045.714 | 154.286 | 5:2 | 2.500 | Semihard 8L 15s | |||||
156\179 | 1045.810 | 154.190 | 13:5 | 2.600 | ||||||
95\109 | 1045.872 | 154.128 | 8:3 | 2.667 | ||||||
129\148 | 1045.946 | 154.054 | 11:4 | 2.750 | ||||||
34\39 | 1046.154 | 153.846 | 3:1 | 3.000 | Hard 8L 15s | |||||
109\125 | 1046.400 | 153.600 | 10:3 | 3.333 | ||||||
75\86 | 1046.512 | 153.488 | 7:2 | 3.500 | ||||||
116\133 | 1046.617 | 153.383 | 11:3 | 3.667 | ||||||
41\47 | 1046.809 | 153.191 | 4:1 | 4.000 | Superhard 8L 15s | |||||
89\102 | 1047.059 | 152.941 | 9:2 | 4.500 | ||||||
48\55 | 1047.273 | 152.727 | 5:1 | 5.000 | ||||||
55\63 | 1047.619 | 152.381 | 6:1 | 6.000 | ||||||
7\8 | 1050.000 | 150.000 | 1:0 | → ∞ | Collapsed 8L 15s |
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