8L 11s
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Step pattern
LsLsLssLsLsLssLsLss
ssLsLssLsLsLssLsLsL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
7\19 to 3\8 (442.1 ¢ to 450.0 ¢)
Dark
5\8 to 12\19 (750.0 ¢ to 757.9 ¢)
Related to
3L 5s (checkertonic)
With tunings
1:1 to 3:2 (soft)
Parent
8L 3s
Sister
11L 8s
Daughters
19L 8s, 8L 19s
Neutralized
16L 3s
2-Flought
27L 11s, 8L 30s
Equalized (L:s = 1:1)
7\19 (442.1 ¢)
Supersoft (L:s = 4:3)
24\65 (443.1 ¢)
Soft (L:s = 3:2)
17\46 (443.5 ¢)
Semisoft (L:s = 5:3)
27\73 (443.8 ¢)
Basic (L:s = 2:1)
10\27 (444.4 ¢)
Semihard (L:s = 5:2)
23\62 (445.2 ¢)
Hard (L:s = 3:1)
13\35 (445.7 ¢)
Superhard (L:s = 4:1)
16\43 (446.5 ¢)
Collapsed (L:s = 1:0)
3\8 (450.0 ¢)
↖ 7L 10s | ↑ 8L 10s | 9L 10s ↗ |
← 7L 11s | 8L 11s | 9L 11s → |
↙ 7L 12s | ↓ 8L 12s | 9L 12s ↘ |
┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬┬┐ │║│║│║││║│║│║││║│║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssLsLssLsLsLssLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
8L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 11 small steps, repeating every octave. 8L 11s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 442.1 ¢ to 450 ¢, or from 750 ¢ to 757.9 ¢.
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 diatonic interval categories.
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 63.2 ¢ |
Major 1-mosstep | M1ms | L | 63.2 ¢ to 150.0 ¢ | |
2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0 ¢ to 126.3 ¢ |
Major 2-mosstep | M2ms | L + s | 126.3 ¢ to 150.0 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 150.0 ¢ to 189.5 ¢ |
Major 3-mosstep | M3ms | 2L + s | 189.5 ¢ to 300.0 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | L + 3s | 150.0 ¢ to 252.6 ¢ |
Major 4-mosstep | M4ms | 2L + 2s | 252.6 ¢ to 300.0 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 300.0 ¢ to 315.8 ¢ |
Major 5-mosstep | M5ms | 3L + 2s | 315.8 ¢ to 450.0 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 2L + 4s | 300.0 ¢ to 378.9 ¢ |
Major 6-mosstep | M6ms | 3L + 3s | 378.9 ¢ to 450.0 ¢ | |
7-mosstep | Diminished 7-mosstep | d7ms | 2L + 5s | 300.0 ¢ to 442.1 ¢ |
Perfect 7-mosstep | P7ms | 3L + 4s | 442.1 ¢ to 450.0 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 3L + 5s | 450.0 ¢ to 505.3 ¢ |
Major 8-mosstep | M8ms | 4L + 4s | 505.3 ¢ to 600.0 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 3L + 6s | 450.0 ¢ to 568.4 ¢ |
Major 9-mosstep | M9ms | 4L + 5s | 568.4 ¢ to 600.0 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 4L + 6s | 600.0 ¢ to 631.6 ¢ |
Major 10-mosstep | M10ms | 5L + 5s | 631.6 ¢ to 750.0 ¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 4L + 7s | 600.0 ¢ to 694.7 ¢ |
Major 11-mosstep | M11ms | 5L + 6s | 694.7 ¢ to 750.0 ¢ | |
12-mosstep | Perfect 12-mosstep | P12ms | 5L + 7s | 750.0 ¢ to 757.9 ¢ |
Augmented 12-mosstep | A12ms | 6L + 6s | 757.9 ¢ to 900.0 ¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 5L + 8s | 750.0 ¢ to 821.1 ¢ |
Major 13-mosstep | M13ms | 6L + 7s | 821.1 ¢ to 900.0 ¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 5L + 9s | 750.0 ¢ to 884.2 ¢ |
Major 14-mosstep | M14ms | 6L + 8s | 884.2 ¢ to 900.0 ¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 6L + 9s | 900.0 ¢ to 947.4 ¢ |
Major 15-mosstep | M15ms | 7L + 8s | 947.4 ¢ to 1050.0 ¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 6L + 10s | 900.0 ¢ to 1010.5 ¢ |
Major 16-mosstep | M16ms | 7L + 9s | 1010.5 ¢ to 1050.0 ¢ | |
17-mosstep | Minor 17-mosstep | m17ms | 7L + 10s | 1050.0 ¢ to 1073.7 ¢ |
Major 17-mosstep | M17ms | 8L + 9s | 1073.7 ¢ to 1200.0 ¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 7L + 11s | 1050.0 ¢ to 1136.8 ¢ |
Major 18-mosstep | M18ms | 8L + 10s | 1136.8 ¢ to 1200.0 ¢ | |
19-mosstep | Perfect 19-mosstep | P19ms | 8L + 11s | 1200.0 ¢ |
Generator chain
Bright gens | Scale degree | Abbrev. |
---|---|---|
26 | Augmented 11-mosdegree | A11md |
25 | Augmented 4-mosdegree | A4md |
24 | Augmented 16-mosdegree | A16md |
23 | Augmented 9-mosdegree | A9md |
22 | Augmented 2-mosdegree | A2md |
21 | Augmented 14-mosdegree | A14md |
20 | Augmented 7-mosdegree | A7md |
19 | Augmented 0-mosdegree | A0md |
18 | Augmented 12-mosdegree | A12md |
17 | Major 5-mosdegree | M5md |
16 | Major 17-mosdegree | M17md |
15 | Major 10-mosdegree | M10md |
14 | Major 3-mosdegree | M3md |
13 | Major 15-mosdegree | M15md |
12 | Major 8-mosdegree | M8md |
11 | Major 1-mosdegree | M1md |
10 | Major 13-mosdegree | M13md |
9 | Major 6-mosdegree | M6md |
8 | Major 18-mosdegree | M18md |
7 | Major 11-mosdegree | M11md |
6 | Major 4-mosdegree | M4md |
5 | Major 16-mosdegree | M16md |
4 | Major 9-mosdegree | M9md |
3 | Major 2-mosdegree | M2md |
2 | Major 14-mosdegree | M14md |
1 | Perfect 7-mosdegree | P7md |
0 | Perfect 0-mosdegree Perfect 19-mosdegree |
P0md P19md |
−1 | Perfect 12-mosdegree | P12md |
−2 | Minor 5-mosdegree | m5md |
−3 | Minor 17-mosdegree | m17md |
−4 | Minor 10-mosdegree | m10md |
−5 | Minor 3-mosdegree | m3md |
−6 | Minor 15-mosdegree | m15md |
−7 | Minor 8-mosdegree | m8md |
−8 | Minor 1-mosdegree | m1md |
−9 | Minor 13-mosdegree | m13md |
−10 | Minor 6-mosdegree | m6md |
−11 | Minor 18-mosdegree | m18md |
−12 | Minor 11-mosdegree | m11md |
−13 | Minor 4-mosdegree | m4md |
−14 | Minor 16-mosdegree | m16md |
−15 | Minor 9-mosdegree | m9md |
−16 | Minor 2-mosdegree | m2md |
−17 | Minor 14-mosdegree | m14md |
−18 | Diminished 7-mosdegree | d7md |
−19 | Diminished 19-mosdegree | d19md |
−20 | Diminished 12-mosdegree | d12md |
−21 | Diminished 5-mosdegree | d5md |
−22 | Diminished 17-mosdegree | d17md |
−23 | Diminished 10-mosdegree | d10md |
−24 | Diminished 3-mosdegree | d3md |
−25 | Diminished 15-mosdegree | d15md |
−26 | Diminished 8-mosdegree | d8md |
Modes
UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | |||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | |||
18|0 | 1 | LsLsLssLsLsLssLsLss | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
17|1 | 8 | LsLsLssLsLssLsLsLss | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
16|2 | 15 | LsLssLsLsLssLsLsLss | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
15|3 | 3 | LsLssLsLsLssLsLssLs | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Perf. |
14|4 | 10 | LsLssLsLssLsLsLssLs | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Perf. |
13|5 | 17 | LssLsLsLssLsLsLssLs | Perf. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Perf. |
12|6 | 5 | LssLsLsLssLsLssLsLs | Perf. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Perf. |
11|7 | 12 | LssLsLssLsLsLssLsLs | Perf. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Perf. | Min. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Perf. |
10|8 | 19 | sLsLsLssLsLsLssLsLs | Perf. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Perf. | Min. | Maj. | Min. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Perf. |
9|9 | 7 | sLsLsLssLsLssLsLsLs | Perf. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Perf. | Min. | Maj. | Min. | Maj. | Perf. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Perf. |
8|10 | 14 | sLsLssLsLsLssLsLsLs | Perf. | Min. | Maj. | Min. | Maj. | Min. | Min. | Perf. | Min. | Maj. | Min. | Maj. | Perf. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Perf. |
7|11 | 2 | sLsLssLsLsLssLsLssL | Perf. | Min. | Maj. | Min. | Maj. | Min. | Min. | Perf. | Min. | Maj. | Min. | Maj. | Perf. | Min. | Maj. | Min. | Maj. | Min. | Min. | Perf. |
6|12 | 9 | sLsLssLsLssLsLsLssL | Perf. | Min. | Maj. | Min. | Maj. | Min. | Min. | Perf. | Min. | Maj. | Min. | Min. | Perf. | Min. | Maj. | Min. | Maj. | Min. | Min. | Perf. |
5|13 | 16 | sLssLsLsLssLsLsLssL | Perf. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Maj. | Min. | Min. | Perf. | Min. | Maj. | Min. | Maj. | Min. | Min. | Perf. |
4|14 | 4 | sLssLsLsLssLsLssLsL | Perf. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Maj. | Min. | Min. | Perf. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
3|15 | 11 | sLssLsLssLsLsLssLsL | Perf. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
2|16 | 18 | ssLsLsLssLsLsLssLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
1|17 | 6 | ssLsLsLssLsLssLsLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
0|18 | 13 | ssLsLssLsLsLssLsLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Dim. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
7\19 | 442.105 | 757.895 | 1:1 | 1.000 | Equalized 8L 11s | |||||
38\103 | 442.718 | 757.282 | 6:5 | 1.200 | ||||||
31\84 | 442.857 | 757.143 | 5:4 | 1.250 | ||||||
55\149 | 442.953 | 757.047 | 9:7 | 1.286 | ||||||
24\65 | 443.077 | 756.923 | 4:3 | 1.333 | Supersoft 8L 11s | |||||
65\176 | 443.182 | 756.818 | 11:8 | 1.375 | ||||||
41\111 | 443.243 | 756.757 | 7:5 | 1.400 | ||||||
58\157 | 443.312 | 756.688 | 10:7 | 1.429 | ||||||
17\46 | 443.478 | 756.522 | 3:2 | 1.500 | Soft 8L 11s | |||||
61\165 | 443.636 | 756.364 | 11:7 | 1.571 | ||||||
44\119 | 443.697 | 756.303 | 8:5 | 1.600 | ||||||
71\192 | 443.750 | 756.250 | 13:8 | 1.625 | ||||||
27\73 | 443.836 | 756.164 | 5:3 | 1.667 | Semisoft 8L 11s | |||||
64\173 | 443.931 | 756.069 | 12:7 | 1.714 | ||||||
37\100 | 444.000 | 756.000 | 7:4 | 1.750 | ||||||
47\127 | 444.094 | 755.906 | 9:5 | 1.800 | ||||||
10\27 | 444.444 | 755.556 | 2:1 | 2.000 | Basic 8L 11s Scales with tunings softer than this are proper | |||||
43\116 | 444.828 | 755.172 | 9:4 | 2.250 | ||||||
33\89 | 444.944 | 755.056 | 7:3 | 2.333 | ||||||
56\151 | 445.033 | 754.967 | 12:5 | 2.400 | ||||||
23\62 | 445.161 | 754.839 | 5:2 | 2.500 | Semihard 8L 11s | |||||
59\159 | 445.283 | 754.717 | 13:5 | 2.600 | ||||||
36\97 | 445.361 | 754.639 | 8:3 | 2.667 | ||||||
49\132 | 445.455 | 754.545 | 11:4 | 2.750 | ||||||
13\35 | 445.714 | 754.286 | 3:1 | 3.000 | Hard 8L 11s | |||||
42\113 | 446.018 | 753.982 | 10:3 | 3.333 | ||||||
29\78 | 446.154 | 753.846 | 7:2 | 3.500 | ||||||
45\121 | 446.281 | 753.719 | 11:3 | 3.667 | ||||||
16\43 | 446.512 | 753.488 | 4:1 | 4.000 | Superhard 8L 11s | |||||
35\94 | 446.809 | 753.191 | 9:2 | 4.500 | ||||||
19\51 | 447.059 | 752.941 | 5:1 | 5.000 | ||||||
22\59 | 447.458 | 752.542 | 6:1 | 6.000 | ||||||
3\8 | 450.000 | 750.000 | 1:0 | → ∞ | Collapsed 8L 11s |
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