1L 16s

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↑ 1L 15s 2L 15s ↗
1L 16s 2L 16s →
↓ 1L 17s 2L 17s ↘
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Scale structure
Step pattern Lssssssssssssssss
ssssssssssssssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 16\17 to 1\1 (1129.4¢ to 1200.0¢)
Dark 0\1 to 1\17 (0.0¢ to 70.6¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 8:1 to 1:0
Related MOS scales
Parent 1L 15s
Sister 16L 1s
Daughters 17L 1s, 1L 17s
Neutralized 2L 15s
2-Flought 18L 16s, 1L 33s
Equal tunings
Equalized (L:s = 1:1) 16\17 (1129.4¢)
Supersoft (L:s = 4:3) 49\52 (1130.8¢)
Soft (L:s = 3:2) 33\35 (1131.4¢)
Semisoft (L:s = 5:3) 50\53 (1132.1¢)
Basic (L:s = 2:1) 17\18 (1133.3¢)
Semihard (L:s = 5:2) 35\37 (1135.1¢)
Hard (L:s = 3:1) 18\19 (1136.8¢)
Superhard (L:s = 4:1) 19\20 (1140.0¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 16 small steps, repeating every octave. 1L 16s is related to 1L 9s, expanding it by 7 tones. Generators that produce this scale range from 1129.4¢ to 1200¢, or from 0¢ to 70.6¢.

Modes

Modes of 1L 16s
UDP Cyclic
order
Step
pattern
16|0 1 Lssssssssssssssss
15|1 17 sLsssssssssssssss
14|2 16 ssLssssssssssssss
13|3 15 sssLsssssssssssss
12|4 14 ssssLssssssssssss
11|5 13 sssssLsssssssssss
10|6 12 ssssssLssssssssss
9|7 11 sssssssLsssssssss
8|8 10 ssssssssLssssssss
7|9 9 sssssssssLsssssss
6|10 8 ssssssssssLssssss
5|11 7 sssssssssssLsssss
4|12 6 ssssssssssssLssss
3|13 5 sssssssssssssLsss
2|14 4 ssssssssssssssLss
1|15 3 sssssssssssssssLs
0|16 2 ssssssssssssssssL

Scale tree

Scale Tree and Tuning Spectrum of 1L 16s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
16\17 1129.412 70.588 1:1 1.000 Equalized 1L 16s
81\86 1130.233 69.767 6:5 1.200
65\69 1130.435 69.565 5:4 1.250
114\121 1130.579 69.421 9:7 1.286
49\52 1130.769 69.231 4:3 1.333 Supersoft 1L 16s
131\139 1130.935 69.065 11:8 1.375
82\87 1131.034 68.966 7:5 1.400
115\122 1131.148 68.852 10:7 1.429
33\35 1131.429 68.571 3:2 1.500 Soft 1L 16s
116\123 1131.707 68.293 11:7 1.571
83\88 1131.818 68.182 8:5 1.600
133\141 1131.915 68.085 13:8 1.625
50\53 1132.075 67.925 5:3 1.667 Semisoft 1L 16s
117\124 1132.258 67.742 12:7 1.714
67\71 1132.394 67.606 7:4 1.750
84\89 1132.584 67.416 9:5 1.800
17\18 1133.333 66.667 2:1 2.000 Basic 1L 16s
Scales with tunings softer than this are proper
69\73 1134.247 65.753 9:4 2.250
52\55 1134.545 65.455 7:3 2.333
87\92 1134.783 65.217 12:5 2.400
35\37 1135.135 64.865 5:2 2.500 Semihard 1L 16s
88\93 1135.484 64.516 13:5 2.600
53\56 1135.714 64.286 8:3 2.667
71\75 1136.000 64.000 11:4 2.750
18\19 1136.842 63.158 3:1 3.000 Hard 1L 16s
55\58 1137.931 62.069 10:3 3.333
37\39 1138.462 61.538 7:2 3.500
56\59 1138.983 61.017 11:3 3.667
19\20 1140.000 60.000 4:1 4.000 Superhard 1L 16s
39\41 1141.463 58.537 9:2 4.500
20\21 1142.857 57.143 5:1 5.000
21\22 1145.455 54.545 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 16s