9L 8s

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← 8L 8s 9L 8s 10L 8s →
↙ 8L 9s ↓ 9L 9s 10L 9s ↘ 
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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 (subneutralic)
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 ¢.

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 diatonic interval categories.

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 ¢

Generator chain

Generator chain of 9L 8s
Bright gens Scale degree Abbrev.
25 Augmented 1-mosdegree A1md
24 Augmented 3-mosdegree A3md
23 Augmented 5-mosdegree A5md
22 Augmented 7-mosdegree A7md
21 Augmented 9-mosdegree A9md
20 Augmented 11-mosdegree A11md
19 Augmented 13-mosdegree A13md
18 Augmented 15-mosdegree A15md
17 Augmented 0-mosdegree A0md
16 Augmented 2-mosdegree A2md
15 Major 4-mosdegree M4md
14 Major 6-mosdegree M6md
13 Major 8-mosdegree M8md
12 Major 10-mosdegree M10md
11 Major 12-mosdegree M12md
10 Major 14-mosdegree M14md
9 Major 16-mosdegree M16md
8 Major 1-mosdegree M1md
7 Major 3-mosdegree M3md
6 Major 5-mosdegree M5md
5 Major 7-mosdegree M7md
4 Major 9-mosdegree M9md
3 Major 11-mosdegree M11md
2 Major 13-mosdegree M13md
1 Perfect 15-mosdegree P15md
0 Perfect 0-mosdegree
Perfect 17-mosdegree		 P0md
P17md
−1 Perfect 2-mosdegree P2md
−2 Minor 4-mosdegree m4md
−3 Minor 6-mosdegree m6md
−4 Minor 8-mosdegree m8md
−5 Minor 10-mosdegree m10md
−6 Minor 12-mosdegree m12md
−7 Minor 14-mosdegree m14md
−8 Minor 16-mosdegree m16md
−9 Minor 1-mosdegree m1md
−10 Minor 3-mosdegree m3md
−11 Minor 5-mosdegree m5md
−12 Minor 7-mosdegree m7md
−13 Minor 9-mosdegree m9md
−14 Minor 11-mosdegree m11md
−15 Minor 13-mosdegree m13md
−16 Diminished 15-mosdegree d15md
−17 Diminished 17-mosdegree d17md
−18 Diminished 2-mosdegree d2md
−19 Diminished 4-mosdegree d4md
−20 Diminished 6-mosdegree d6md
−21 Diminished 8-mosdegree d8md
−22 Diminished 10-mosdegree d10md
−23 Diminished 12-mosdegree d12md
−24 Diminished 14-mosdegree d14md
−25 Diminished 16-mosdegree d16md

Modes

Scale degrees of the modes of 9L 8s
UDP Cyclic
order		 Step
pattern		 Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
16|0 1 LLsLsLsLsLsLsLsLs Perf. Maj. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf.
15|1 16 LsLLsLsLsLsLsLsLs Perf. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf.
14|2 14 LsLsLLsLsLsLsLsLs Perf. Maj. Perf. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf.
13|3 12 LsLsLsLLsLsLsLsLs Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf.
12|4 10 LsLsLsLsLLsLsLsLs Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf.
11|5 8 LsLsLsLsLsLLsLsLs Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Perf.
10|6 6 LsLsLsLsLsLsLLsLs Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Perf. Maj. Perf.
9|7 4 LsLsLsLsLsLsLsLLs Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Maj. Perf.
8|8 2 LsLsLsLsLsLsLsLsL Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf.
7|9 17 sLLsLsLsLsLsLsLsL Perf. Min. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf.
6|10 15 sLsLLsLsLsLsLsLsL Perf. Min. Perf. Min. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf.
5|11 13 sLsLsLLsLsLsLsLsL Perf. Min. Perf. Min. Min. Min. Min. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf.
4|12 11 sLsLsLsLLsLsLsLsL Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf.
3|13 9 sLsLsLsLsLLsLsLsL Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Maj. Min. Maj. Min. Perf. Min. Perf.
2|14 7 sLsLsLsLsLsLLsLsL Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Maj. Min. Perf. Min. Perf.
1|15 5 sLsLsLsLsLsLsLLsL Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Perf.
0|16 3 sLsLsLsLsLsLsLsLL Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Dim. Min. Perf.

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
Lafayette, Progression
98\111 1059.459 140.541 7:6 1.167
83\94 1059.574 140.426 6:5 1.200
151\171 1059.649 140.351 11:9 1.222
68\77 1059.740 140.260 5:4 1.250 Tsaharuk
189\214 1059.813 140.187 14:11 1.273
121\137 1059.854 140.146 9:7 1.286
174\197 1059.898 140.102 13:10 1.300
53\60 1060.000 140.000 4:3 1.333 Supersoft 9L 8s
Bleu
197\223 1060.090 139.910 15:11 1.364
144\163 1060.123 139.877 11:8 1.375
235\266 1060.150 139.850 18:13 1.385
91\103 1060.194 139.806 7:5 1.400
220\249 1060.241 139.759 17:12 1.417
129\146 1060.274 139.726 10:7 1.429
167\189 1060.317 139.683 13:9 1.444
38\43 1060.465 139.535 3:2 1.500 Soft 9L 8s
175\198 1060.606 139.394 14:9 1.556
137\155 1060.645 139.355 11:7 1.571
236\267 1060.674 139.326 19:12 1.583
99\112 1060.714 139.286 8:5 1.600 Jerome
259\293 1060.751 139.249 21:13 1.615
160\181 1060.773 139.227 13:8 1.625
221\250 1060.800 139.200 18:11 1.636
61\69 1060.870 139.130 5:3 1.667 Semisoft 9L 8s
206\233 1060.944 139.056 17:10 1.700
145\164 1060.976 139.024 12:7 1.714
229\259 1061.004 138.996 19:11 1.727
84\95 1061.053 138.947 7:4 1.750
191\216 1061.111 138.889 16:9 1.778
107\121 1061.157 138.843 9:5 1.800
130\147 1061.224 138.776 11:6 1.833
23\26 1061.538 138.462 2:1 2.000 Basic 9L 8s
Scales with tunings softer than this are proper
123\139 1061.871 138.129 11:5 2.200
100\113 1061.947 138.053 9:4 2.250
177\200 1062.000 138.000 16:7 2.286
77\87 1062.069 137.931 7:3 2.333 Secund(ly)
208\235 1062.128 137.872 19:8 2.375
131\148 1062.162 137.838 12:5 2.400
185\209 1062.201 137.799 17:7 2.429
54\61 1062.295 137.705 5:2 2.500 Semihard 9L 8s
193\218 1062.385 137.615 18:7 2.571
139\157 1062.420 137.580 13:5 2.600
224\253 1062.451 137.549 21:8 2.625
85\96 1062.500 137.500 8:3 2.667
201\227 1062.555 137.445 19:7 2.714
116\131 1062.595 137.405 11:4 2.750
147\166 1062.651 137.349 14:5 2.800
31\35 1062.857 137.143 3:1 3.000 Hard 9L 8s
132\149 1063.087 136.913 13:4 3.250
101\114 1063.158 136.842 10:3 3.333
171\193 1063.212 136.788 17:5 3.400
70\79 1063.291 136.709 7:2 3.500
179\202 1063.366 136.634 18:5 3.600
109\123 1063.415 136.585 11:3 3.667
148\167 1063.473 136.527 15:4 3.750
39\44 1063.636 136.364 4:1 4.000 Superhard 9L 8s
125\141 1063.830 136.170 13:3 4.333
86\97 1063.918 136.082 9:2 4.500
133\150 1064.000 136.000 14:3 4.667
47\53 1064.151 135.849 5:1 5.000
102\115 1064.348 135.652 11:2 5.500 Doublethink
55\62 1064.516 135.484 6:1 6.000
63\71 1064.789 135.211 7:1 7.000 Kryptonite
8\9 1066.667 133.333 1:0 → ∞ Collapsed 9L 8s
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