1L 15s

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↑ 1L 14s 2L 14s ↗
1L 15s 2L 15s →
↓ 1L 16s 2L 16s ↘
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Scale structure
Step pattern Lsssssssssssssss
sssssssssssssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 15\16 to 1\1 (1125.0¢ to 1200.0¢)
Dark 0\1 to 1\16 (0.0¢ to 75.0¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 7:1 to 1:0
Related MOS scales
Parent 1L 14s
Sister 15L 1s
Daughters 16L 1s, 1L 16s
Neutralized 2L 14s
2-Flought 17L 15s, 1L 31s
Equal tunings
Equalized (L:s = 1:1) 15\16 (1125.0¢)
Supersoft (L:s = 4:3) 46\49 (1126.5¢)
Soft (L:s = 3:2) 31\33 (1127.3¢)
Semisoft (L:s = 5:3) 47\50 (1128.0¢)
Basic (L:s = 2:1) 16\17 (1129.4¢)
Semihard (L:s = 5:2) 33\35 (1131.4¢)
Hard (L:s = 3:1) 17\18 (1133.3¢)
Superhard (L:s = 4:1) 18\19 (1136.8¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 15 small steps, repeating every octave. 1L 15s is related to 1L 9s, expanding it by 6 tones. Generators that produce this scale range from 1125¢ to 1200¢, or from 0¢ to 75¢.

Modes

Modes of 1L 15s
UDP Cyclic
order
Step
pattern
15|0 1 Lsssssssssssssss
14|1 16 sLssssssssssssss
13|2 15 ssLsssssssssssss
12|3 14 sssLssssssssssss
11|4 13 ssssLsssssssssss
10|5 12 sssssLssssssssss
9|6 11 ssssssLsssssssss
8|7 10 sssssssLssssssss
7|8 9 ssssssssLsssssss
6|9 8 sssssssssLssssss
5|10 7 ssssssssssLsssss
4|11 6 sssssssssssLssss
3|12 5 ssssssssssssLsss
2|13 4 sssssssssssssLss
1|14 3 ssssssssssssssLs
0|15 2 sssssssssssssssL

Scale tree

Scale Tree and Tuning Spectrum of 1L 15s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
15\16 1125.000 75.000 1:1 1.000 Equalized 1L 15s
76\81 1125.926 74.074 6:5 1.200
61\65 1126.154 73.846 5:4 1.250
107\114 1126.316 73.684 9:7 1.286
46\49 1126.531 73.469 4:3 1.333 Supersoft 1L 15s
123\131 1126.718 73.282 11:8 1.375
77\82 1126.829 73.171 7:5 1.400
108\115 1126.957 73.043 10:7 1.429
31\33 1127.273 72.727 3:2 1.500 Soft 1L 15s
109\116 1127.586 72.414 11:7 1.571
78\83 1127.711 72.289 8:5 1.600
125\133 1127.820 72.180 13:8 1.625
47\50 1128.000 72.000 5:3 1.667 Semisoft 1L 15s
110\117 1128.205 71.795 12:7 1.714
63\67 1128.358 71.642 7:4 1.750
79\84 1128.571 71.429 9:5 1.800
16\17 1129.412 70.588 2:1 2.000 Basic 1L 15s
Scales with tunings softer than this are proper
65\69 1130.435 69.565 9:4 2.250
49\52 1130.769 69.231 7:3 2.333
82\87 1131.034 68.966 12:5 2.400
33\35 1131.429 68.571 5:2 2.500 Semihard 1L 15s
83\88 1131.818 68.182 13:5 2.600
50\53 1132.075 67.925 8:3 2.667
67\71 1132.394 67.606 11:4 2.750
17\18 1133.333 66.667 3:1 3.000 Hard 1L 15s
52\55 1134.545 65.455 10:3 3.333
35\37 1135.135 64.865 7:2 3.500
53\56 1135.714 64.286 11:3 3.667
18\19 1136.842 63.158 4:1 4.000 Superhard 1L 15s
37\39 1138.462 61.538 9:2 4.500
19\20 1140.000 60.000 5:1 5.000
20\21 1142.857 57.143 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 15s