1L 13s

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↑1L 12s 2L 12s ↗
1L 13s 2L 13s →
↓1L 14s 2L 14s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern Lsssssssssssss
sssssssssssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 13\14 to 1\1 (1114.3¢ to 1200.0¢)
Dark 0\1 to 1\14 (0.0¢ to 85.7¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 5:1 to 1:0
Related MOS scales
Parent 1L 12s
Sister 13L 1s
Daughters 14L 1s, 1L 14s
Neutralized 2L 12s
2-Flought 15L 13s, 1L 27s
Equal tunings
Equalized (L:s = 1:1) 13\14 (1114.3¢)
Supersoft (L:s = 4:3) 40\43 (1116.3¢)
Soft (L:s = 3:2) 27\29 (1117.2¢)
Semisoft (L:s = 5:3) 41\44 (1118.2¢)
Basic (L:s = 2:1) 14\15 (1120.0¢)
Semihard (L:s = 5:2) 29\31 (1122.6¢)
Hard (L:s = 3:1) 15\16 (1125.0¢)
Superhard (L:s = 4:1) 16\17 (1129.4¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 13 small steps, repeating every octave. 1L 13s is related to 1L 9s, expanding it by 4 tones. Generators that produce this scale range from 1114.3¢ to 1200¢, or from 0¢ to 85.7¢.

Scale Tree and Tuning Spectrum of 1L 13s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
13\14 1114.286 85.714 1:1 1.000 Equalized 1L 13s
66\71 1115.493 84.507 6:5 1.200
53\57 1115.789 84.211 5:4 1.250
93\100 1116.000 84.000 9:7 1.286
40\43 1116.279 83.721 4:3 1.333 Supersoft 1L 13s
107\115 1116.522 83.478 11:8 1.375
67\72 1116.667 83.333 7:5 1.400
94\101 1116.832 83.168 10:7 1.429
27\29 1117.241 82.759 3:2 1.500 Soft 1L 13s
95\102 1117.647 82.353 11:7 1.571
68\73 1117.808 82.192 8:5 1.600
109\117 1117.949 82.051 13:8 1.625
41\44 1118.182 81.818 5:3 1.667 Semisoft 1L 13s
Nautilus
96\103 1118.447 81.553 12:7 1.714
55\59 1118.644 81.356 7:4 1.750
69\74 1118.919 81.081 9:5 1.800
14\15 1120.000 80.000 2:1 2.000 Basic 1L 13s
Scales with tunings softer than this are proper
57\61 1121.311 78.689 9:4 2.250
43\46 1121.739 78.261 7:3 2.333
72\77 1122.078 77.922 12:5 2.400
29\31 1122.581 77.419 5:2 2.500 Semihard 1L 13s
73\78 1123.077 76.923 13:5 2.600
44\47 1123.404 76.596 8:3 2.667
59\63 1123.810 76.190 11:4 2.750
15\16 1125.000 75.000 3:1 3.000 Hard 1L 13s
46\49 1126.531 73.469 10:3 3.333
31\33 1127.273 72.727 7:2 3.500
47\50 1128.000 72.000 11:3 3.667
16\17 1129.412 70.588 4:1 4.000 Superhard 1L 13s
33\35 1131.429 68.571 9:2 4.500
17\18 1133.333 66.667 5:1 5.000
18\19 1136.842 63.158 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 13s