1L 17s

From Xenharmonic Wiki
Jump to navigation Jump to search
↑ 1L 16s 2L 16s ↗
1L 17s2L 17s →
↓ 1L 18s 2L 18s ↘
┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐
│║││││││││││││││││││
││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern Lsssssssssssssssss
sssssssssssssssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 17\18 to 1\1 (1133.3¢ to 1200.0¢)
Dark 0\1 to 1\18 (0.0¢ to 66.7¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 9:1 to 1:0
Related MOS scales
Parent 1L 16s
Sister 17L 1s
Daughters 18L 1s, 1L 18s
Neutralized 2L 16s
2-Flought 19L 17s, 1L 35s
Equal tunings
Equalized (L:s = 1:1) 17\18 (1133.3¢)
Supersoft (L:s = 4:3) 52\55 (1134.5¢)
Soft (L:s = 3:2) 35\37 (1135.1¢)
Semisoft (L:s = 5:3) 53\56 (1135.7¢)
Basic (L:s = 2:1) 18\19 (1136.8¢)
Semihard (L:s = 5:2) 37\39 (1138.5¢)
Hard (L:s = 3:1) 19\20 (1140.0¢)
Superhard (L:s = 4:1) 20\21 (1142.9¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 17 small steps, repeating every octave. 1L 17s is related to 1L 9s, expanding it by 8 tones. Generators that produce this scale range from 1133.3¢ to 1200¢, or from 0¢ to 66.7¢.

Modes

Modes of 1L 17s
UDP Cyclic
order
Step
pattern
17|0 1 Lsssssssssssssssss
16|1 18 sLssssssssssssssss
15|2 17 ssLsssssssssssssss
14|3 16 sssLssssssssssssss
13|4 15 ssssLsssssssssssss
12|5 14 sssssLssssssssssss
11|6 13 ssssssLsssssssssss
10|7 12 sssssssLssssssssss
9|8 11 ssssssssLsssssssss
8|9 10 sssssssssLssssssss
7|10 9 ssssssssssLsssssss
6|11 8 sssssssssssLssssss
5|12 7 ssssssssssssLsssss
4|13 6 sssssssssssssLssss
3|14 5 ssssssssssssssLsss
2|15 4 sssssssssssssssLss
1|16 3 ssssssssssssssssLs
0|17 2 sssssssssssssssssL

Scale tree

Scale Tree and Tuning Spectrum of 1L 17s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
17\18 1133.333 66.667 1:1 1.000 Equalized 1L 17s
86\91 1134.066 65.934 6:5 1.200
69\73 1134.247 65.753 5:4 1.250
121\128 1134.375 65.625 9:7 1.286
52\55 1134.545 65.455 4:3 1.333 Supersoft 1L 17s
139\147 1134.694 65.306 11:8 1.375
87\92 1134.783 65.217 7:5 1.400
122\129 1134.884 65.116 10:7 1.429
35\37 1135.135 64.865 3:2 1.500 Soft 1L 17s
123\130 1135.385 64.615 11:7 1.571
88\93 1135.484 64.516 8:5 1.600
141\149 1135.570 64.430 13:8 1.625
53\56 1135.714 64.286 5:3 1.667 Semisoft 1L 17s
124\131 1135.878 64.122 12:7 1.714
71\75 1136.000 64.000 7:4 1.750
89\94 1136.170 63.830 9:5 1.800
18\19 1136.842 63.158 2:1 2.000 Basic 1L 17s
Scales with tunings softer than this are proper
73\77 1137.662 62.338 9:4 2.250
55\58 1137.931 62.069 7:3 2.333
92\97 1138.144 61.856 12:5 2.400
37\39 1138.462 61.538 5:2 2.500 Semihard 1L 17s
93\98 1138.776 61.224 13:5 2.600
56\59 1138.983 61.017 8:3 2.667
75\79 1139.241 60.759 11:4 2.750
19\20 1140.000 60.000 3:1 3.000 Hard 1L 17s
58\61 1140.984 59.016 10:3 3.333
39\41 1141.463 58.537 7:2 3.500
59\62 1141.935 58.065 11:3 3.667
20\21 1142.857 57.143 4:1 4.000 Superhard 1L 17s
41\43 1144.186 55.814 9:2 4.500
21\22 1145.455 54.545 5:1 5.000
22\23 1147.826 52.174 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 17s