9L 8s
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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¢)
↖ 8L 7s | ↑ 9L 7s | 10L 7s ↗ |
← 8L 8s | 9L 8s | 10L 8s → |
↙ 8L 9s | ↓ 9L 9s | 10L 9s ↘ |
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLsLL
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
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 | 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
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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