9L 8s

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↖ 8L 7s ↑ 9L 7s 10L 7s ↗
← 8L 8s 9L 8s 10L 8s →
↙ 8L 9s ↓ 9L 9s 10L 9s ↘
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐
│║║│║│║│║│║│║│║│║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 15\17 to 8\9 (1058.8¢ to 1066.7¢)
Dark 1\9 to 2\17 (133.3¢ to 141.2¢)
TAMNAMS information
Descends from 8L 1s
Ancestor's step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 8L 1s
Sister 8L 9s
Daughters 17L 9s, 9L 17s
Neutralized 1L 16s
2-Flought 26L 8s, 9L 25s
Equal tunings
Equalized (L:s = 1:1) 15\17 (1058.8¢)
Supersoft (L:s = 4:3) 53\60 (1060.0¢)
Soft (L:s = 3:2) 38\43 (1060.5¢)
Semisoft (L:s = 5:3) 61\69 (1060.9¢)
Basic (L:s = 2:1) 23\26 (1061.5¢)
Semihard (L:s = 5:2) 54\61 (1062.3¢)
Hard (L:s = 3:1) 31\35 (1062.9¢)
Superhard (L:s = 4:1) 39\44 (1063.6¢)
Collapsed (L:s = 1:0) 8\9 (1066.7¢)

9L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 8 small steps, repeating every octave. 9L 8s is a child scale of 8L 1s, expanding it by 8 tones. Generators that produce this scale range from 1058.8¢ to 1066.7¢, or from 133.3¢ to 141.2¢.

Modes

Modes of 9L 8s
UDP Cyclic
order
Step
pattern
16|0 1 LLsLsLsLsLsLsLsLs
15|1 16 LsLLsLsLsLsLsLsLs
14|2 14 LsLsLLsLsLsLsLsLs
13|3 12 LsLsLsLLsLsLsLsLs
12|4 10 LsLsLsLsLLsLsLsLs
11|5 8 LsLsLsLsLsLLsLsLs
10|6 6 LsLsLsLsLsLsLLsLs
9|7 4 LsLsLsLsLsLsLsLLs
8|8 2 LsLsLsLsLsLsLsLsL
7|9 17 sLLsLsLsLsLsLsLsL
6|10 15 sLsLLsLsLsLsLsLsL
5|11 13 sLsLsLLsLsLsLsLsL
4|12 11 sLsLsLsLLsLsLsLsL
3|13 9 sLsLsLsLsLLsLsLsL
2|14 7 sLsLsLsLsLsLLsLsL
1|15 5 sLsLsLsLsLsLsLLsL
0|16 3 sLsLsLsLsLsLsLsLL

Intervals

Intervals of 9L 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 70.6¢
Major 1-mosstep M1ms L 70.6¢ to 133.3¢
2-mosstep Perfect 2-mosstep P2ms L + s 133.3¢ to 141.2¢
Augmented 2-mosstep A2ms 2L 141.2¢ to 266.7¢
3-mosstep Minor 3-mosstep m3ms L + 2s 133.3¢ to 211.8¢
Major 3-mosstep M3ms 2L + s 211.8¢ to 266.7¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 266.7¢ to 282.4¢
Major 4-mosstep M4ms 3L + s 282.4¢ to 400.0¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 266.7¢ to 352.9¢
Major 5-mosstep M5ms 3L + 2s 352.9¢ to 400.0¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 400.0¢ to 423.5¢
Major 6-mosstep M6ms 4L + 2s 423.5¢ to 533.3¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 400.0¢ to 494.1¢
Major 7-mosstep M7ms 4L + 3s 494.1¢ to 533.3¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 533.3¢ to 564.7¢
Major 8-mosstep M8ms 5L + 3s 564.7¢ to 666.7¢
9-mosstep Minor 9-mosstep m9ms 4L + 5s 533.3¢ to 635.3¢
Major 9-mosstep M9ms 5L + 4s 635.3¢ to 666.7¢
10-mosstep Minor 10-mosstep m10ms 5L + 5s 666.7¢ to 705.9¢
Major 10-mosstep M10ms 6L + 4s 705.9¢ to 800.0¢
11-mosstep Minor 11-mosstep m11ms 5L + 6s 666.7¢ to 776.5¢
Major 11-mosstep M11ms 6L + 5s 776.5¢ to 800.0¢
12-mosstep Minor 12-mosstep m12ms 6L + 6s 800.0¢ to 847.1¢
Major 12-mosstep M12ms 7L + 5s 847.1¢ to 933.3¢
13-mosstep Minor 13-mosstep m13ms 6L + 7s 800.0¢ to 917.6¢
Major 13-mosstep M13ms 7L + 6s 917.6¢ to 933.3¢
14-mosstep Minor 14-mosstep m14ms 7L + 7s 933.3¢ to 988.2¢
Major 14-mosstep M14ms 8L + 6s 988.2¢ to 1066.7¢
15-mosstep Diminished 15-mosstep d15ms 7L + 8s 933.3¢ to 1058.8¢
Perfect 15-mosstep P15ms 8L + 7s 1058.8¢ to 1066.7¢
16-mosstep Minor 16-mosstep m16ms 8L + 8s 1066.7¢ to 1129.4¢
Major 16-mosstep M16ms 9L + 7s 1129.4¢ to 1200.0¢
17-mosstep Perfect 17-mosstep P17ms 9L + 8s 1200.0¢

Tuning spectrum

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the scale tree.
Scale Tree and Tuning Spectrum of 9L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
15\17 1058.824 141.176 1:1 1.000 Equalized 9L 8s
83\94 1059.574 140.426 6:5 1.200
68\77 1059.740 140.260 5:4 1.250
121\137 1059.854 140.146 9:7 1.286
53\60 1060.000 140.000 4:3 1.333 Supersoft 9L 8s
144\163 1060.123 139.877 11:8 1.375
91\103 1060.194 139.806 7:5 1.400
129\146 1060.274 139.726 10:7 1.429
38\43 1060.465 139.535 3:2 1.500 Soft 9L 8s
137\155 1060.645 139.355 11:7 1.571
99\112 1060.714 139.286 8:5 1.600
160\181 1060.773 139.227 13:8 1.625
61\69 1060.870 139.130 5:3 1.667 Semisoft 9L 8s
145\164 1060.976 139.024 12:7 1.714
84\95 1061.053 138.947 7:4 1.750
107\121 1061.157 138.843 9:5 1.800
23\26 1061.538 138.462 2:1 2.000 Basic 9L 8s
Scales with tunings softer than this are proper
100\113 1061.947 138.053 9:4 2.250
77\87 1062.069 137.931 7:3 2.333
131\148 1062.162 137.838 12:5 2.400
54\61 1062.295 137.705 5:2 2.500 Semihard 9L 8s
139\157 1062.420 137.580 13:5 2.600
85\96 1062.500 137.500 8:3 2.667
116\131 1062.595 137.405 11:4 2.750
31\35 1062.857 137.143 3:1 3.000 Hard 9L 8s
101\114 1063.158 136.842 10:3 3.333
70\79 1063.291 136.709 7:2 3.500
109\123 1063.415 136.585 11:3 3.667
39\44 1063.636 136.364 4:1 4.000 Superhard 9L 8s
86\97 1063.918 136.082 9:2 4.500
47\53 1064.151 135.849 5:1 5.000
55\62 1064.516 135.484 6:1 6.000
8\9 1066.667 133.333 1:0 → ∞ Collapsed 9L 8s


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