7L 19s

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↖ 6L 18s ↑ 7L 18s 8L 18s ↗
← 6L 19s 7L 19s 8L 19s →
↙ 6L 20s ↓ 7L 20s 8L 20s ↘ 
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLsssLsssLssLsssLsssLsss
sssLsssLsssLssLsssLsssLssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 11\26 to 3\7 (507.7¢ to 514.3¢)
Dark 4\7 to 15\26 (685.7¢ to 692.3¢)
TAMNAMS information
Descends from 5L 2s (diatonic)
Ancestor's step ratio range 1:1 to 4:3 (ultrasoft)
Related MOS scales
Parent 7L 12s
Sister 19L 7s
Daughters 26L 7s, 7L 26s
Neutralized 14L 12s
2-Flought 33L 19s, 7L 45s
Equal tunings
Equalized (L:s = 1:1) 11\26 (507.7¢)
Supersoft (L:s = 4:3) 36\85 (508.2¢)
Soft (L:s = 3:2) 25\59 (508.5¢)
Semisoft (L:s = 5:3) 39\92 (508.7¢)
Basic (L:s = 2:1) 14\33 (509.1¢)
Semihard (L:s = 5:2) 31\73 (509.6¢)
Hard (L:s = 3:1) 17\40 (510.0¢)
Superhard (L:s = 4:1) 20\47 (510.6¢)
Collapsed (L:s = 1:0) 3\7 (514.3¢)

7L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 19 small steps, repeating every octave. 7L 19s is a great-grandchild scale of 5L 2s, expanding it by 19 tones. Generators that produce this scale range from 507.7¢ to 514.3¢, or from 685.7¢ to 692.3¢.

Modes

Modes of 7L 19s
UDP Cyclic
order		 Step
pattern
25|0 1 LssLsssLsssLssLsssLsssLsss
24|1 12 LssLsssLsssLsssLssLsssLsss
23|2 23 LsssLssLsssLsssLssLsssLsss
22|3 8 LsssLssLsssLsssLsssLssLsss
21|4 19 LsssLsssLssLsssLsssLssLsss
20|5 4 LsssLsssLssLsssLsssLsssLss
19|6 15 LsssLsssLsssLssLsssLsssLss
18|7 26 sLssLsssLsssLssLsssLsssLss
17|8 11 sLssLsssLsssLsssLssLsssLss
16|9 22 sLsssLssLsssLsssLssLsssLss
15|10 7 sLsssLssLsssLsssLsssLssLss
14|11 18 sLsssLsssLssLsssLsssLssLss
13|12 3 sLsssLsssLssLsssLsssLsssLs
12|13 14 sLsssLsssLsssLssLsssLsssLs
11|14 25 ssLssLsssLsssLssLsssLsssLs
10|15 10 ssLssLsssLsssLsssLssLsssLs
9|16 21 ssLsssLssLsssLsssLssLsssLs
8|17 6 ssLsssLssLsssLsssLsssLssLs
7|18 17 ssLsssLsssLssLsssLsssLssLs
6|19 2 ssLsssLsssLssLsssLsssLsssL
5|20 13 ssLsssLsssLsssLssLsssLsssL
4|21 24 sssLssLsssLsssLssLsssLsssL
3|22 9 sssLssLsssLsssLsssLssLsssL
2|23 20 sssLsssLssLsssLsssLssLsssL
1|24 5 sssLsssLssLsssLsssLsssLssL
0|25 16 sssLsssLsssLssLsssLsssLssL

Intervals

Intervals of 7L 19s
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 46.2¢
Major 1-mosstep M1ms L 46.2¢ to 171.4¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0¢ to 92.3¢
Major 2-mosstep M2ms L + s 92.3¢ to 171.4¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0¢ to 138.5¢
Major 3-mosstep M3ms L + 2s 138.5¢ to 171.4¢
4-mosstep Minor 4-mosstep m4ms L + 3s 171.4¢ to 184.6¢
Major 4-mosstep M4ms 2L + 2s 184.6¢ to 342.9¢
5-mosstep Minor 5-mosstep m5ms L + 4s 171.4¢ to 230.8¢
Major 5-mosstep M5ms 2L + 3s 230.8¢ to 342.9¢
6-mosstep Minor 6-mosstep m6ms L + 5s 171.4¢ to 276.9¢
Major 6-mosstep M6ms 2L + 4s 276.9¢ to 342.9¢
7-mosstep Minor 7-mosstep m7ms L + 6s 171.4¢ to 323.1¢
Major 7-mosstep M7ms 2L + 5s 323.1¢ to 342.9¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 342.9¢ to 369.2¢
Major 8-mosstep M8ms 3L + 5s 369.2¢ to 514.3¢
9-mosstep Minor 9-mosstep m9ms 2L + 7s 342.9¢ to 415.4¢
Major 9-mosstep M9ms 3L + 6s 415.4¢ to 514.3¢
10-mosstep Minor 10-mosstep m10ms 2L + 8s 342.9¢ to 461.5¢
Major 10-mosstep M10ms 3L + 7s 461.5¢ to 514.3¢
11-mosstep Diminished 11-mosstep d11ms 2L + 9s 342.9¢ to 507.7¢
Perfect 11-mosstep P11ms 3L + 8s 507.7¢ to 514.3¢
12-mosstep Minor 12-mosstep m12ms 3L + 9s 514.3¢ to 553.8¢
Major 12-mosstep M12ms 4L + 8s 553.8¢ to 685.7¢
13-mosstep Minor 13-mosstep m13ms 3L + 10s 514.3¢ to 600.0¢
Major 13-mosstep M13ms 4L + 9s 600.0¢ to 685.7¢
14-mosstep Minor 14-mosstep m14ms 3L + 11s 514.3¢ to 646.2¢
Major 14-mosstep M14ms 4L + 10s 646.2¢ to 685.7¢
15-mosstep Perfect 15-mosstep P15ms 4L + 11s 685.7¢ to 692.3¢
Augmented 15-mosstep A15ms 5L + 10s 692.3¢ to 857.1¢
16-mosstep Minor 16-mosstep m16ms 4L + 12s 685.7¢ to 738.5¢
Major 16-mosstep M16ms 5L + 11s 738.5¢ to 857.1¢
17-mosstep Minor 17-mosstep m17ms 4L + 13s 685.7¢ to 784.6¢
Major 17-mosstep M17ms 5L + 12s 784.6¢ to 857.1¢
18-mosstep Minor 18-mosstep m18ms 4L + 14s 685.7¢ to 830.8¢
Major 18-mosstep M18ms 5L + 13s 830.8¢ to 857.1¢
19-mosstep Minor 19-mosstep m19ms 5L + 14s 857.1¢ to 876.9¢
Major 19-mosstep M19ms 6L + 13s 876.9¢ to 1028.6¢
20-mosstep Minor 20-mosstep m20ms 5L + 15s 857.1¢ to 923.1¢
Major 20-mosstep M20ms 6L + 14s 923.1¢ to 1028.6¢
21-mosstep Minor 21-mosstep m21ms 5L + 16s 857.1¢ to 969.2¢
Major 21-mosstep M21ms 6L + 15s 969.2¢ to 1028.6¢
22-mosstep Minor 22-mosstep m22ms 5L + 17s 857.1¢ to 1015.4¢
Major 22-mosstep M22ms 6L + 16s 1015.4¢ to 1028.6¢
23-mosstep Minor 23-mosstep m23ms 6L + 17s 1028.6¢ to 1061.5¢
Major 23-mosstep M23ms 7L + 16s 1061.5¢ to 1200.0¢
24-mosstep Minor 24-mosstep m24ms 6L + 18s 1028.6¢ to 1107.7¢
Major 24-mosstep M24ms 7L + 17s 1107.7¢ to 1200.0¢
25-mosstep Minor 25-mosstep m25ms 6L + 19s 1028.6¢ to 1153.8¢
Major 25-mosstep M25ms 7L + 18s 1153.8¢ to 1200.0¢
26-mosstep Perfect 26-mosstep P26ms 7L + 19s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 7L 19s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\26 507.692 692.308 1:1 1.000 Equalized 7L 19s
69\163 507.975 692.025 7:6 1.167
58\137 508.029 691.971 6:5 1.200
105\248 508.065 691.935 11:9 1.222
47\111 508.108 691.892 5:4 1.250
130\307 508.143 691.857 14:11 1.273
83\196 508.163 691.837 9:7 1.286
119\281 508.185 691.815 13:10 1.300
36\85 508.235 691.765 4:3 1.333 Supersoft 7L 19s
133\314 508.280 691.720 15:11 1.364
97\229 508.297 691.703 11:8 1.375
158\373 508.311 691.689 18:13 1.385
61\144 508.333 691.667 7:5 1.400
147\347 508.357 691.643 17:12 1.417
86\203 508.374 691.626 10:7 1.429
111\262 508.397 691.603 13:9 1.444
25\59 508.475 691.525 3:2 1.500 Soft 7L 19s
114\269 508.550 691.450 14:9 1.556
89\210 508.571 691.429 11:7 1.571
153\361 508.587 691.413 19:12 1.583
64\151 508.609 691.391 8:5 1.600
167\394 508.629 691.371 21:13 1.615
103\243 508.642 691.358 13:8 1.625
142\335 508.657 691.343 18:11 1.636
39\92 508.696 691.304 5:3 1.667 Semisoft 7L 19s
131\309 508.738 691.262 17:10 1.700
92\217 508.756 691.244 12:7 1.714
145\342 508.772 691.228 19:11 1.727
53\125 508.800 691.200 7:4 1.750
120\283 508.834 691.166 16:9 1.778
67\158 508.861 691.139 9:5 1.800
81\191 508.901 691.099 11:6 1.833
14\33 509.091 690.909 2:1 2.000 Basic 7L 19s
Scales with tunings softer than this are proper
73\172 509.302 690.698 11:5 2.200
59\139 509.353 690.647 9:4 2.250
104\245 509.388 690.612 16:7 2.286
45\106 509.434 690.566 7:3 2.333
121\285 509.474 690.526 19:8 2.375
76\179 509.497 690.503 12:5 2.400
107\252 509.524 690.476 17:7 2.429
31\73 509.589 690.411 5:2 2.500 Semihard 7L 19s
110\259 509.653 690.347 18:7 2.571
79\186 509.677 690.323 13:5 2.600
127\299 509.699 690.301 21:8 2.625
48\113 509.735 690.265 8:3 2.667
113\266 509.774 690.226 19:7 2.714
65\153 509.804 690.196 11:4 2.750
82\193 509.845 690.155 14:5 2.800
17\40 510.000 690.000 3:1 3.000 Hard 7L 19s
71\167 510.180 689.820 13:4 3.250
54\127 510.236 689.764 10:3 3.333
91\214 510.280 689.720 17:5 3.400
37\87 510.345 689.655 7:2 3.500
94\221 510.407 689.593 18:5 3.600
57\134 510.448 689.552 11:3 3.667
77\181 510.497 689.503 15:4 3.750
20\47 510.638 689.362 4:1 4.000 Superhard 7L 19s
63\148 510.811 689.189 13:3 4.333
43\101 510.891 689.109 9:2 4.500
66\155 510.968 689.032 14:3 4.667
23\54 511.111 688.889 5:1 5.000
49\115 511.304 688.696 11:2 5.500
26\61 511.475 688.525 6:1 6.000
29\68 511.765 688.235 7:1 7.000
3\7 514.286 685.714 1:0 → ∞ Collapsed 7L 19s


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