1L 19s

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1L 19s 2L 19s →
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Scale structure
Step pattern Lsssssssssssssssssss
sssssssssssssssssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 19\20 to 1\1 (1140.0¢ to 1200.0¢)
Dark 0\1 to 1\20 (0.0¢ to 60.0¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 11:1 to 1:0
Related MOS scales
Parent 1L 18s
Sister 19L 1s
Daughters 20L 1s, 1L 20s
Neutralized 2L 18s
2-Flought 21L 19s, 1L 39s
Equal tunings
Equalized (L:s = 1:1) 19\20 (1140.0¢)
Supersoft (L:s = 4:3) 58\61 (1141.0¢)
Soft (L:s = 3:2) 39\41 (1141.5¢)
Semisoft (L:s = 5:3) 59\62 (1141.9¢)
Basic (L:s = 2:1) 20\21 (1142.9¢)
Semihard (L:s = 5:2) 41\43 (1144.2¢)
Hard (L:s = 3:1) 21\22 (1145.5¢)
Superhard (L:s = 4:1) 22\23 (1147.8¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 19 small steps, repeating every octave. 1L 19s is related to 1L 9s, expanding it by 10 tones. Generators that produce this scale range from 1140¢ to 1200¢, or from 0¢ to 60¢.

Modes

Modes of 1L 19s
UDP Cyclic
order
Step
pattern
19|0 1 Lsssssssssssssssssss
18|1 20 sLssssssssssssssssss
17|2 19 ssLsssssssssssssssss
16|3 18 sssLssssssssssssssss
15|4 17 ssssLsssssssssssssss
14|5 16 sssssLssssssssssssss
13|6 15 ssssssLsssssssssssss
12|7 14 sssssssLssssssssssss
11|8 13 ssssssssLsssssssssss
10|9 12 sssssssssLssssssssss
9|10 11 ssssssssssLsssssssss
8|11 10 sssssssssssLssssssss
7|12 9 ssssssssssssLsssssss
6|13 8 sssssssssssssLssssss
5|14 7 ssssssssssssssLsssss
4|15 6 sssssssssssssssLssss
3|16 5 ssssssssssssssssLsss
2|17 4 sssssssssssssssssLss
1|18 3 ssssssssssssssssssLs
0|19 2 sssssssssssssssssssL

Scale tree

Scale Tree and Tuning Spectrum of 1L 19s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
19\20 1140.000 60.000 1:1 1.000 Equalized 1L 19s
96\101 1140.594 59.406 6:5 1.200
77\81 1140.741 59.259 5:4 1.250
135\142 1140.845 59.155 9:7 1.286
58\61 1140.984 59.016 4:3 1.333 Supersoft 1L 19s
155\163 1141.104 58.896 11:8 1.375
97\102 1141.176 58.824 7:5 1.400
136\143 1141.259 58.741 10:7 1.429
39\41 1141.463 58.537 3:2 1.500 Soft 1L 19s
137\144 1141.667 58.333 11:7 1.571
98\103 1141.748 58.252 8:5 1.600
157\165 1141.818 58.182 13:8 1.625
59\62 1141.935 58.065 5:3 1.667 Semisoft 1L 19s
138\145 1142.069 57.931 12:7 1.714
79\83 1142.169 57.831 7:4 1.750
99\104 1142.308 57.692 9:5 1.800
20\21 1142.857 57.143 2:1 2.000 Basic 1L 19s
Scales with tunings softer than this are proper
81\85 1143.529 56.471 9:4 2.250
61\64 1143.750 56.250 7:3 2.333
102\107 1143.925 56.075 12:5 2.400
41\43 1144.186 55.814 5:2 2.500 Semihard 1L 19s
103\108 1144.444 55.556 13:5 2.600
62\65 1144.615 55.385 8:3 2.667
83\87 1144.828 55.172 11:4 2.750
21\22 1145.455 54.545 3:1 3.000 Hard 1L 19s
64\67 1146.269 53.731 10:3 3.333
43\45 1146.667 53.333 7:2 3.500
65\68 1147.059 52.941 11:3 3.667
22\23 1147.826 52.174 4:1 4.000 Superhard 1L 19s
45\47 1148.936 51.064 9:2 4.500
23\24 1150.000 50.000 5:1 5.000
24\25 1152.000 48.000 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 19s