5L 14s

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↖ 4L 13s ↑5L 13s 6L 13s ↗
← 4L 14s5L 14s 6L 14s →
↙ 4L 15s ↓5L 15s 6L 15s ↘
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐
│║││║│││║│││║│││║││││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLsssLsssLsssLsss
sssLsssLsssLsssLssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 15\19 to 4\5 (947.4¢ to 960.0¢)
Dark 1\5 to 4\19 (240.0¢ to 252.6¢)
TAMNAMS information
Descends from 5L 4s (semiquartal)
Required step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 5L 9s
Sister 14L 5s
Daughters 19L 5s, 5L 19s
Neutralized 10L 9s
2-Flought 24L 14s, 5L 33s
Equal tunings
Equalized (L:s = 1:1) 15\19 (947.4¢)
Supersoft (L:s = 4:3) 49\62 (948.4¢)
Soft (L:s = 3:2) 34\43 (948.8¢)
Semisoft (L:s = 5:3) 53\67 (949.3¢)
Basic (L:s = 2:1) 19\24 (950.0¢)
Semihard (L:s = 5:2) 42\53 (950.9¢)
Hard (L:s = 3:1) 23\29 (951.7¢)
Superhard (L:s = 4:1) 27\34 (952.9¢)
Collapsed (L:s = 1:0) 4\5 (960.0¢)

5L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 14 small steps, repeating every octave. 5L 14s is a grandchild scale of 5L 4s, expanding it by 10 tones. Generators that produce this scale range from 947.4¢ to 960¢, or from 240¢ to 252.6¢.

Modes

Modes of 5L 14s
UDP Rotational order Step pattern
18 | 0 1 LssLsssLsssLsssLsss
17 | 1 16 LsssLssLsssLsssLsss
16 | 2 12 LsssLsssLssLsssLsss
15 | 3 8 LsssLsssLsssLssLsss
14 | 4 4 LsssLsssLsssLsssLss
13 | 5 19 sLssLsssLsssLsssLss
12 | 6 15 sLsssLssLsssLsssLss
11 | 7 11 sLsssLsssLssLsssLss
10 | 8 7 sLsssLsssLsssLssLss
9 | 9 3 sLsssLsssLsssLsssLs
8 | 10 18 ssLssLsssLsssLsssLs
7 | 11 14 ssLsssLssLsssLsssLs
6 | 12 10 ssLsssLsssLssLsssLs
5 | 13 6 ssLsssLsssLsssLssLs
4 | 14 2 ssLsssLsssLsssLsssL
3 | 15 17 sssLssLsssLsssLsssL
2 | 16 13 sssLsssLssLsssLsssL
1 | 17 9 sssLsssLsssLssLsssL
0 | 18 5 sssLsssLsssLsssLssL

Scale tree

Scale Tree and Tuning Spectrum of 5L 14s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
15\19 947.368 252.632 1:1 1.000 Equalized 5L 14s
79\100 948.000 252.000 6:5 1.200
64\81 948.148 251.852 5:4 1.250
113\143 948.252 251.748 9:7 1.286
49\62 948.387 251.613 4:3 1.333 Supersoft 5L 14s
132\167 948.503 251.497 11:8 1.375
83\105 948.571 251.429 7:5 1.400
117\148 948.649 251.351 10:7 1.429
34\43 948.837 251.163 3:2 1.500 Soft 5L 14s
121\153 949.020 250.980 11:7 1.571
87\110 949.091 250.909 8:5 1.600
140\177 949.153 250.847 13:8 1.625
53\67 949.254 250.746 5:3 1.667 Semisoft 5L 14s
125\158 949.367 250.633 12:7 1.714
72\91 949.451 250.549 7:4 1.750
91\115 949.565 250.435 9:5 1.800
19\24 950.000 250.000 2:1 2.000 Basic 5L 14s
Scales with tunings softer than this are proper
80\101 950.495 249.505 9:4 2.250
61\77 950.649 249.351 7:3 2.333
103\130 950.769 249.231 12:5 2.400
42\53 950.943 249.057 5:2 2.500 Semihard 5L 14s
107\135 951.111 248.889 13:5 2.600
65\82 951.220 248.780 8:3 2.667
88\111 951.351 248.649 11:4 2.750
23\29 951.724 248.276 3:1 3.000 Hard 5L 14s
73\92 952.174 247.826 10:3 3.333
50\63 952.381 247.619 7:2 3.500
77\97 952.577 247.423 11:3 3.667
27\34 952.941 247.059 4:1 4.000 Superhard 5L 14s
58\73 953.425 246.575 9:2 4.500
31\39 953.846 246.154 5:1 5.000
35\44 954.545 245.455 6:1 6.000
4\5 960.000 240.000 1:0 → ∞ Collapsed 5L 14s
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