7L 8s

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↖ 6L 7s ↑ 7L 7s 8L 7s ↗
← 6L 8s 7L 8s 8L 8s →
↙ 6L 9s ↓ 7L 9s 8L 9s ↘ 
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│║│║│║│║│║│║│║│││
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLsLsLss
ssLsLsLsLsLsLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 2\15 to 1\7 (160.0¢ to 171.4¢)
Dark 6\7 to 13\15 (1028.6¢ to 1040.0¢)
TAMNAMS information
Descends from 7L 1s
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 7L 1s
Sister 8L 7s
Daughters 15L 7s, 7L 15s
Neutralized 14L 1s
2-Flought 22L 8s, 7L 23s
Equal tunings
Equalized (L:s = 1:1) 2\15 (160.0¢)
Supersoft (L:s = 4:3) 7\52 (161.5¢)
Soft (L:s = 3:2) 5\37 (162.2¢)
Semisoft (L:s = 5:3) 8\59 (162.7¢)
Basic (L:s = 2:1) 3\22 (163.6¢)
Semihard (L:s = 5:2) 7\51 (164.7¢)
Hard (L:s = 3:1) 4\29 (165.5¢)
Superhard (L:s = 4:1) 5\36 (166.7¢)
Collapsed (L:s = 1:0) 1\7 (171.4¢)

7L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 8 small steps, repeating every octave. 7L 8s is a child scale of 7L 1s, expanding it by 7 tones. Generators that produce this scale range from 160 ¢ to 171.4 ¢, or from 1028.6 ¢ to 1040 ¢.

It is notable for supporting porcupine, of the porcupine family.

Modes

Modes of 7L 8s
UDP Cyclic
order		 Step
pattern
14|0 1 LsLsLsLsLsLsLss
13|1 3 LsLsLsLsLsLssLs
12|2 5 LsLsLsLsLssLsLs
11|3 7 LsLsLsLssLsLsLs
10|4 9 LsLsLssLsLsLsLs
9|5 11 LsLssLsLsLsLsLs
8|6 13 LssLsLsLsLsLsLs
7|7 15 sLsLsLsLsLsLsLs
6|8 2 sLsLsLsLsLsLssL
5|9 4 sLsLsLsLsLssLsL
4|10 6 sLsLsLsLssLsLsL
3|11 8 sLsLsLssLsLsLsL
2|12 10 sLsLssLsLsLsLsL
1|13 12 sLssLsLsLsLsLsL
0|14 14 ssLsLsLsLsLsLsL

Intervals

Intervals of 7L 8s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 80.0 ¢
Major 1-mosstep M1ms L 80.0 ¢ to 171.4 ¢
2-mosstep Diminished 2-mosstep d2ms 2s 0.0 ¢ to 160.0 ¢
Perfect 2-mosstep P2ms L + s 160.0 ¢ to 171.4 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 171.4 ¢ to 240.0 ¢
Major 3-mosstep M3ms 2L + s 240.0 ¢ to 342.9 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 171.4 ¢ to 320.0 ¢
Major 4-mosstep M4ms 2L + 2s 320.0 ¢ to 342.9 ¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 342.9 ¢ to 400.0 ¢
Major 5-mosstep M5ms 3L + 2s 400.0 ¢ to 514.3 ¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 342.9 ¢ to 480.0 ¢
Major 6-mosstep M6ms 3L + 3s 480.0 ¢ to 514.3 ¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 514.3 ¢ to 560.0 ¢
Major 7-mosstep M7ms 4L + 3s 560.0 ¢ to 685.7 ¢
8-mosstep Minor 8-mosstep m8ms 3L + 5s 514.3 ¢ to 640.0 ¢
Major 8-mosstep M8ms 4L + 4s 640.0 ¢ to 685.7 ¢
9-mosstep Minor 9-mosstep m9ms 4L + 5s 685.7 ¢ to 720.0 ¢
Major 9-mosstep M9ms 5L + 4s 720.0 ¢ to 857.1 ¢
10-mosstep Minor 10-mosstep m10ms 4L + 6s 685.7 ¢ to 800.0 ¢
Major 10-mosstep M10ms 5L + 5s 800.0 ¢ to 857.1 ¢
11-mosstep Minor 11-mosstep m11ms 5L + 6s 857.1 ¢ to 880.0 ¢
Major 11-mosstep M11ms 6L + 5s 880.0 ¢ to 1028.6 ¢
12-mosstep Minor 12-mosstep m12ms 5L + 7s 857.1 ¢ to 960.0 ¢
Major 12-mosstep M12ms 6L + 6s 960.0 ¢ to 1028.6 ¢
13-mosstep Perfect 13-mosstep P13ms 6L + 7s 1028.6 ¢ to 1040.0 ¢
Augmented 13-mosstep A13ms 7L + 6s 1040.0 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms 6L + 8s 1028.6 ¢ to 1120.0 ¢
Major 14-mosstep M14ms 7L + 7s 1120.0 ¢ to 1200.0 ¢
15-mosstep Perfect 15-mosstep P15ms 7L + 8s 1200.0¢

Scale tree

Icon-Todo.png Todo: complete table

There was previously octachord info in the old scale tree, in the form of the step pattern LsLsLsL. Please add it to the new scale tree.

Scale tree and tuning spectrum of 7L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\15 160.000 1040.000 1:1 1.000 Equalized 7L 8s
11\82 160.976 1039.024 6:5 1.200
9\67 161.194 1038.806 5:4 1.250
16\119 161.345 1038.655 9:7 1.286
7\52 161.538 1038.462 4:3 1.333 Supersoft 7L 8s
19\141 161.702 1038.298 11:8 1.375
12\89 161.798 1038.202 7:5 1.400
17\126 161.905 1038.095 10:7 1.429
5\37 162.162 1037.838 3:2 1.500 Soft 7L 8s
18\133 162.406 1037.594 11:7 1.571
13\96 162.500 1037.500 8:5 1.600
21\155 162.581 1037.419 13:8 1.625
8\59 162.712 1037.288 5:3 1.667 Semisoft 7L 8s
19\140 162.857 1037.143 12:7 1.714
11\81 162.963 1037.037 7:4 1.750
14\103 163.107 1036.893 9:5 1.800
3\22 163.636 1036.364 2:1 2.000 Basic 7L 8s
Scales with tunings softer than this are proper
13\95 164.211 1035.789 9:4 2.250
10\73 164.384 1035.616 7:3 2.333
17\124 164.516 1035.484 12:5 2.400
7\51 164.706 1035.294 5:2 2.500 Semihard 7L 8s
18\131 164.885 1035.115 13:5 2.600
11\80 165.000 1035.000 8:3 2.667
15\109 165.138 1034.862 11:4 2.750
4\29 165.517 1034.483 3:1 3.000 Hard 7L 8s
13\94 165.957 1034.043 10:3 3.333
9\65 166.154 1033.846 7:2 3.500
14\101 166.337 1033.663 11:3 3.667
5\36 166.667 1033.333 4:1 4.000 Superhard 7L 8s
11\79 167.089 1032.911 9:2 4.500
6\43 167.442 1032.558 5:1 5.000
7\50 168.000 1032.000 6:1 6.000
1\7 171.429 1028.571 1:0 → ∞ Collapsed 7L 8s


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