7L 13s

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↖ 6L 12s↑ 7L 12s 8L 12s ↗
← 6L 13s7L 13s8L 13s →
↙ 6L 14s↓ 7L 14s 8L 14s ↘
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Scale structure
Step pattern LsLssLssLssLssLssLss
ssLssLssLssLssLssLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 17\20 to 6\7 (1020.0¢ to 1028.6¢)
Dark 1\7 to 3\20 (171.4¢ to 180.0¢)
TAMNAMS information
Descends from 6L 1s (archaeotonic)
Ancestor's step ratio range 1:1 to 3:2 (soft)
Related MOS scales
Parent 7L 6s
Sister 13L 7s
Daughters 20L 7s, 7L 20s
Neutralized 14L 6s
2-Flought 27L 13s, 7L 33s
Equal tunings
Equalized (L:s = 1:1) 17\20 (1020.0¢)
Supersoft (L:s = 4:3) 57\67 (1020.9¢)
Soft (L:s = 3:2) 40\47 (1021.3¢)
Semisoft (L:s = 5:3) 63\74 (1021.6¢)
Basic (L:s = 2:1) 23\27 (1022.2¢)
Semihard (L:s = 5:2) 52\61 (1023.0¢)
Hard (L:s = 3:1) 29\34 (1023.5¢)
Superhard (L:s = 4:1) 35\41 (1024.4¢)
Collapsed (L:s = 1:0) 6\7 (1028.6¢)

7L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 13 small steps, repeating every octave. 7L 13s is a grandchild scale of 6L 1s, expanding it by 13 tones. Generators that produce this scale range from 1020¢ to 1028.6¢, or from 171.4¢ to 180¢.

Modes

Modes of 7L 13s
UDP Cyclic
Order
Step
Pattern
19|0 1 LsLssLssLssLssLssLss
18|1 18 LssLsLssLssLssLssLss
17|2 15 LssLssLsLssLssLssLss
16|3 12 LssLssLssLsLssLssLss
15|4 9 LssLssLssLssLsLssLss
14|5 6 LssLssLssLssLssLsLss
13|6 3 LssLssLssLssLssLssLs
12|7 20 sLsLssLssLssLssLssLs
11|8 17 sLssLsLssLssLssLssLs
10|9 14 sLssLssLsLssLssLssLs
9|10 11 sLssLssLssLsLssLssLs
8|11 8 sLssLssLssLssLsLssLs
7|12 5 sLssLssLssLssLssLsLs
6|13 2 sLssLssLssLssLssLssL
5|14 19 ssLsLssLssLssLssLssL
4|15 16 ssLssLsLssLssLssLssL
3|16 13 ssLssLssLsLssLssLssL
2|17 10 ssLssLssLssLsLssLssL
1|18 7 ssLssLssLssLssLsLssL
0|19 4 ssLssLssLssLssLssLsL

Tuning spectrum

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the scale tree.

Tetracot / enipucrop range. See also 7L 6s 7L 13s and 13L 7s.

Scale Tree and Tuning Spectrum of 7L 13s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
17\20 1020.000 180.000 1:1 1.000 Equalized 7L 13s
91\107 1020.561 179.439 6:5 1.200
74\87 1020.690 179.310 5:4 1.250
131\154 1020.779 179.221 9:7 1.286
57\67 1020.896 179.104 4:3 1.333 Supersoft 7L 13s
154\181 1020.994 179.006 11:8 1.375
97\114 1021.053 178.947 7:5 1.400
137\161 1021.118 178.882 10:7 1.429
40\47 1021.277 178.723 3:2 1.500 Soft 7L 13s
143\168 1021.429 178.571 11:7 1.571
103\121 1021.488 178.512 8:5 1.600
166\195 1021.538 178.462 13:8 1.625
63\74 1021.622 178.378 5:3 1.667 Semisoft 7L 13s
149\175 1021.714 178.286 12:7 1.714
86\101 1021.782 178.218 7:4 1.750
109\128 1021.875 178.125 9:5 1.800
23\27 1022.222 177.778 2:1 2.000 Basic 7L 13s
Scales with tunings softer than this are proper
98\115 1022.609 177.391 9:4 2.250
75\88 1022.727 177.273 7:3 2.333
127\149 1022.819 177.181 12:5 2.400
52\61 1022.951 177.049 5:2 2.500 Semihard 7L 13s
133\156 1023.077 176.923 13:5 2.600
81\95 1023.158 176.842 8:3 2.667
110\129 1023.256 176.744 11:4 2.750
29\34 1023.529 176.471 3:1 3.000 Hard 7L 13s
93\109 1023.853 176.147 10:3 3.333
64\75 1024.000 176.000 7:2 3.500
99\116 1024.138 175.862 11:3 3.667
35\41 1024.390 175.610 4:1 4.000 Superhard 7L 13s
76\89 1024.719 175.281 9:2 4.500
41\48 1025.000 175.000 5:1 5.000
47\55 1025.455 174.545 6:1 6.000
6\7 1028.571 171.429 1:0 → ∞ Collapsed 7L 13s