1L 14s

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↑ 1L 13s 2L 13s ↗
1L 14s2L 14s →
↓ 1L 15s 2L 15s ↘
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Scale structure
Step pattern Lssssssssssssss
ssssssssssssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 14\15 to 1\1 (1120.0¢ to 1200.0¢)
Dark 0\1 to 1\15 (0.0¢ to 80.0¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 6:1 to 1:0
Related MOS scales
Parent 1L 13s
Sister 14L 1s
Daughters 15L 1s, 1L 15s
Neutralized 2L 13s
2-Flought 16L 14s, 1L 29s
Equal tunings
Equalized (L:s = 1:1) 14\15 (1120.0¢)
Supersoft (L:s = 4:3) 43\46 (1121.7¢)
Soft (L:s = 3:2) 29\31 (1122.6¢)
Semisoft (L:s = 5:3) 44\47 (1123.4¢)
Basic (L:s = 2:1) 15\16 (1125.0¢)
Semihard (L:s = 5:2) 31\33 (1127.3¢)
Hard (L:s = 3:1) 16\17 (1129.4¢)
Superhard (L:s = 4:1) 17\18 (1133.3¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 14 small steps, repeating every octave. 1L 14s is related to 1L 9s, expanding it by 5 tones. Generators that produce this scale range from 1120¢ to 1200¢, or from 0¢ to 80¢. Valentine temperament, with generators around 77.8¢, maps the interval of 3/2 to +9 dark generators.

Scale Tree and Tuning Spectrum of 1L 14s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
14\15 1120.000 80.000 1:1 1.000 Equalized 1L 14s
71\76 1121.053 78.947 6:5 1.200
57\61 1121.311 78.689 5:4 1.250
100\107 1121.495 78.505 9:7 1.286
43\46 1121.739 78.261 4:3 1.333 Supersoft 1L 14s
115\123 1121.951 78.049 11:8 1.375
72\77 1122.078 77.922 7:5 1.400 Valentine
101\108 1122.222 77.778 10:7 1.429
29\31 1122.581 77.419 3:2 1.500 Soft 1L 14s
102\109 1122.936 77.064 11:7 1.571
73\78 1123.077 76.923 8:5 1.600
117\125 1123.200 76.800 13:8 1.625
44\47 1123.404 76.596 5:3 1.667 Semisoft 1L 14s
103\110 1123.636 76.364 12:7 1.714
59\63 1123.810 76.190 7:4 1.750
74\79 1124.051 75.949 9:5 1.800
15\16 1125.000 75.000 2:1 2.000 Basic 1L 14s
Scales with tunings softer than this are proper
61\65 1126.154 73.846 9:4 2.250
46\49 1126.531 73.469 7:3 2.333
77\82 1126.829 73.171 12:5 2.400
31\33 1127.273 72.727 5:2 2.500 Semihard 1L 14s
78\83 1127.711 72.289 13:5 2.600
47\50 1128.000 72.000 8:3 2.667
63\67 1128.358 71.642 11:4 2.750
16\17 1129.412 70.588 3:1 3.000 Hard 1L 14s
49\52 1130.769 69.231 10:3 3.333
33\35 1131.429 68.571 7:2 3.500
50\53 1132.075 67.925 11:3 3.667
17\18 1133.333 66.667 4:1 4.000 Superhard 1L 14s
35\37 1135.135 64.865 9:2 4.500
18\19 1136.842 63.158 5:1 5.000
19\20 1140.000 60.000 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 14s