7L 13s

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↖ 6L 12s ↑ 7L 12s 8L 12s ↗
← 6L 13s 7L 13s 8L 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
Related to 6L 1s (archaeotonic)
With tunings 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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Tuning spectrum

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
108\127 1020.472 179.528 7:6 1.167
91\107 1020.561 179.439 6:5 1.200
165\194 1020.619 179.381 11:9 1.222
74\87 1020.690 179.310 5:4 1.250
205\241 1020.747 179.253 14:11 1.273
131\154 1020.779 179.221 9:7 1.286
188\221 1020.814 179.186 13:10 1.300
57\67 1020.896 179.104 4:3 1.333 Supersoft 7L 13s
211\248 1020.968 179.032 15:11 1.364
154\181 1020.994 179.006 11:8 1.375
251\295 1021.017 178.983 18:13 1.385
97\114 1021.053 178.947 7:5 1.400
234\275 1021.091 178.909 17:12 1.417
137\161 1021.118 178.882 10:7 1.429
177\208 1021.154 178.846 13:9 1.444
40\47 1021.277 178.723 3:2 1.500 Soft 7L 13s
183\215 1021.395 178.605 14:9 1.556
143\168 1021.429 178.571 11:7 1.571
246\289 1021.453 178.547 19:12 1.583
103\121 1021.488 178.512 8:5 1.600
269\316 1021.519 178.481 21:13 1.615
166\195 1021.538 178.462 13:8 1.625
229\269 1021.561 178.439 18:11 1.636
63\74 1021.622 178.378 5:3 1.667 Semisoft 7L 13s
212\249 1021.687 178.313 17:10 1.700
149\175 1021.714 178.286 12:7 1.714
235\276 1021.739 178.261 19:11 1.727
86\101 1021.782 178.218 7:4 1.750
195\229 1021.834 178.166 16:9 1.778
109\128 1021.875 178.125 9:5 1.800
132\155 1021.935 178.065 11:6 1.833
23\27 1022.222 177.778 2:1 2.000 Basic 7L 13s
Scales with tunings softer than this are proper
121\142 1022.535 177.465 11:5 2.200
98\115 1022.609 177.391 9:4 2.250 Wollemia
173\203 1022.660 177.340 16:7 2.286
75\88 1022.727 177.273 7:3 2.333 Ponens
202\237 1022.785 177.215 19:8 2.375
127\149 1022.819 177.181 12:5 2.400
179\210 1022.857 177.143 17:7 2.429
52\61 1022.951 177.049 5:2 2.500 Semihard 7L 13s
185\217 1023.041 176.959 18:7 2.571
133\156 1023.077 176.923 13:5 2.600
214\251 1023.108 176.892 21:8 2.625
81\95 1023.158 176.842 8:3 2.667 Modus
191\224 1023.214 176.786 19:7 2.714
110\129 1023.256 176.744 11:4 2.750
139\163 1023.313 176.687 14:5 2.800
29\34 1023.529 176.471 3:1 3.000 Hard 7L 13s
122\143 1023.776 176.224 13:4 3.250
93\109 1023.853 176.147 10:3 3.333 Tetracot
157\184 1023.913 176.087 17:5 3.400
64\75 1024.000 176.000 7:2 3.500
163\191 1024.084 175.916 18:5 3.600
99\116 1024.138 175.862 11:3 3.667 Bunya
134\157 1024.204 175.796 15:4 3.750
35\41 1024.390 175.610 4:1 4.000 Superhard 7L 13s
Monkey
111\130 1024.615 175.385 13:3 4.333
76\89 1024.719 175.281 9:2 4.500 Sesquiquartififths
117\137 1024.818 175.182 14:3 4.667
41\48 1025.000 175.000 5:1 5.000
88\103 1025.243 174.757 11:2 5.500
47\55 1025.455 174.545 6:1 6.000
53\62 1025.806 174.194 7:1 7.000 Enipucrop ↓
6\7 1028.571 171.429 1:0 → ∞ Collapsed 7L 13s
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