7L 15s

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↖6L 14s ↑7L 14s 8L 14s↗
←6L 15s7L 15s 8L 15s→
↙6L 16s ↓7L 16s 8L 16s↘
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│║││║││║││║││║││║││║││││
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLssLssLssLssLssLsss
sssLssLssLssLssLssLssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Step size ranges
Large 1\22 to 1\7 (54.5¢ to 171.4¢)
Small 0\7 to 1\22 (0.0¢ to 54.5¢)
Generator size
Bright 3\22 to 1\7 (163.6¢ to 171.4¢)
Dark 6\7 to 19\22 (1028.6¢ to 1036.4¢)
TAMNAMS information
Descends from 7L 1s (pine)
Related MOS scales
Parent 7L 8s
Sister 15L 7s
Daughters 22L 7s
7L 22s
Equal tunings
Equalized (L:s = 1:1) 3\22 (163.6¢)
Supersoft (L:s = 4:3) 10\73 (164.4¢)
Soft (L:s = 3:2) 7\51 (164.7¢)
Semisoft (L:s = 5:3) 11\80 (165.0¢)
Basic (L:s = 2:1) 4\29 (165.5¢)
Semihard (L:s = 5:2) 9\65 (166.2¢)
Hard (L:s = 3:1) 5\36 (166.7¢)
Superhard (L:s = 4:1) 6\43 (167.4¢)
Collapsed (L:s = 1:0) 1\7 (171.4¢)

7L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 15 small steps, repeating every octave. 7L 15s is a grandchild scale of 7L 1s, expanding it by 14 tones. Generators that produce this scale range from 163.6¢ to 171.4¢, or from 1028.6¢ to 1036.4¢.

It is the enharmonic scale of Coendou temperament.

Scale tree and tuning spectrum of 7L 15s
Generator (in steps of edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\22 163.636 1036.364 1:1 1.000 Equalized 7L 15s
16\117 164.103 1035.897 6:5 1.200
13\95 164.211 1035.789 5:4 1.250
23\168 164.286 1035.714 9:7 1.286
10\73 164.384 1035.616 4:3 1.333 Supersoft 7L 15s
27\197 164.467 1035.533 11:8 1.375
17\124 164.516 1035.484 7:5 1.400
24\175 164.571 1035.429 10:7 1.429
7\51 164.706 1035.294 3:2 1.500 Soft 7L 15s
25\182 164.835 1035.165 11:7 1.571
18\131 164.885 1035.115 8:5 1.600
29\211 164.929 1035.071 13:8 1.625
11\80 165.000 1035.000 5:3 1.667 Semisoft 7L 15s
26\189 165.079 1034.921 12:7 1.714
15\109 165.138 1034.862 7:4 1.750
19\138 165.217 1034.783 9:5 1.800
4\29 165.517 1034.483 2:1 2.000 Basic 7L 15s
Scales with tunings softer than this are proper
17\123 165.854 1034.146 9:4 2.250
13\94 165.957 1034.043 7:3 2.333 Coendou
22\159 166.038 1033.962 12:5 2.400
9\65 166.154 1033.846 5:2 2.500 Semihard 7L 15s
23\166 166.265 1033.735 13:5 2.600
14\101 166.337 1033.663 8:3 2.667
19\137 166.423 1033.577 11:4 2.750
5\36 166.667 1033.333 3:1 3.000 Hard 7L 15s
16\115 166.957 1033.043 10:3 3.333
11\79 167.089 1032.911 7:2 3.500
17\122 167.213 1032.787 11:3 3.667
6\43 167.442 1032.558 4:1 4.000 Superhard 7L 15s
13\93 167.742 1032.258 9:2 4.500
7\50 168.000 1032.000 5:1 5.000
8\57 168.421 1031.579 6:1 6.000
1\7 171.429 1028.571 1:0 → ∞ Collapsed 7L 15s