19L 6s

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↖ 18L 5s ↑ 19L 5s 20L 5s ↗
← 18L 6s 19L 6s 20L 6s →
↙ 18L 7s ↓ 19L 7s 20L 7s ↘
┌╥╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬┐
│║║║║│║║║│║║║│║║║│║║║│║║║││
│││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLsLLLsLLLsLLLsLLLs
sLLLsLLLsLLLsLLLsLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 21\25 to 16\19 (1008.0 ¢ to 1010.5 ¢)
Dark 3\19 to 4\25 (189.5 ¢ to 192.0 ¢)
TAMNAMS information
Descends from 6L 1s (archaeotonic)
Ancestor's step ratio range 3:1 to 4:1 (parahard)
Related MOS scales
Parent 6L 13s
Sister 6L 19s
Daughters 25L 19s, 19L 25s
Neutralized 13L 12s
2-Flought 44L 6s, 19L 31s
Equal tunings
Equalized (L:s = 1:1) 21\25 (1008.0 ¢)
Supersoft (L:s = 4:3) 79\94 (1008.5 ¢)
Soft (L:s = 3:2) 58\69 (1008.7 ¢)
Semisoft (L:s = 5:3) 95\113 (1008.8 ¢)
Basic (L:s = 2:1) 37\44 (1009.1 ¢)
Semihard (L:s = 5:2) 90\107 (1009.3 ¢)
Hard (L:s = 3:1) 53\63 (1009.5 ¢)
Superhard (L:s = 4:1) 69\82 (1009.8 ¢)
Collapsed (L:s = 1:0) 16\19 (1010.5 ¢)

19L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 6 small steps, repeating every octave. 19L 6s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 1008 ¢ to 1010.5 ¢, or from 189.5 ¢ to 192 ¢.

Modes

Modes of 19L 6s
UDP Cyclic
order
Step
pattern
24|0 1 LLLLsLLLsLLLsLLLsLLLsLLLs
23|1 22 LLLsLLLLsLLLsLLLsLLLsLLLs
22|2 18 LLLsLLLsLLLLsLLLsLLLsLLLs
21|3 14 LLLsLLLsLLLsLLLLsLLLsLLLs
20|4 10 LLLsLLLsLLLsLLLsLLLLsLLLs
19|5 6 LLLsLLLsLLLsLLLsLLLsLLLLs
18|6 2 LLLsLLLsLLLsLLLsLLLsLLLsL
17|7 23 LLsLLLLsLLLsLLLsLLLsLLLsL
16|8 19 LLsLLLsLLLLsLLLsLLLsLLLsL
15|9 15 LLsLLLsLLLsLLLLsLLLsLLLsL
14|10 11 LLsLLLsLLLsLLLsLLLLsLLLsL
13|11 7 LLsLLLsLLLsLLLsLLLsLLLLsL
12|12 3 LLsLLLsLLLsLLLsLLLsLLLsLL
11|13 24 LsLLLLsLLLsLLLsLLLsLLLsLL
10|14 20 LsLLLsLLLLsLLLsLLLsLLLsLL
9|15 16 LsLLLsLLLsLLLLsLLLsLLLsLL
8|16 12 LsLLLsLLLsLLLsLLLLsLLLsLL
7|17 8 LsLLLsLLLsLLLsLLLsLLLLsLL
6|18 4 LsLLLsLLLsLLLsLLLsLLLsLLL
5|19 25 sLLLLsLLLsLLLsLLLsLLLsLLL
4|20 21 sLLLsLLLLsLLLsLLLsLLLsLLL
3|21 17 sLLLsLLLsLLLLsLLLsLLLsLLL
2|22 13 sLLLsLLLsLLLsLLLLsLLLsLLL
1|23 9 sLLLsLLLsLLLsLLLsLLLLsLLL
0|24 5 sLLLsLLLsLLLsLLLsLLLsLLLL

Intervals

Intervals of 19L 6s
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 48.0 ¢
Major 1-mosstep M1ms L 48.0 ¢ to 63.2 ¢
2-mosstep Minor 2-mosstep m2ms L + s 63.2 ¢ to 96.0 ¢
Major 2-mosstep M2ms 2L 96.0 ¢ to 126.3 ¢
3-mosstep Minor 3-mosstep m3ms 2L + s 126.3 ¢ to 144.0 ¢
Major 3-mosstep M3ms 3L 144.0 ¢ to 189.5 ¢
4-mosstep Perfect 4-mosstep P4ms 3L + s 189.5 ¢ to 192.0 ¢
Augmented 4-mosstep A4ms 4L 192.0 ¢ to 252.6 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 189.5 ¢ to 240.0 ¢
Major 5-mosstep M5ms 4L + s 240.0 ¢ to 252.6 ¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 252.6 ¢ to 288.0 ¢
Major 6-mosstep M6ms 5L + s 288.0 ¢ to 315.8 ¢
7-mosstep Minor 7-mosstep m7ms 5L + 2s 315.8 ¢ to 336.0 ¢
Major 7-mosstep M7ms 6L + s 336.0 ¢ to 378.9 ¢
8-mosstep Minor 8-mosstep m8ms 6L + 2s 378.9 ¢ to 384.0 ¢
Major 8-mosstep M8ms 7L + s 384.0 ¢ to 442.1 ¢
9-mosstep Minor 9-mosstep m9ms 6L + 3s 378.9 ¢ to 432.0 ¢
Major 9-mosstep M9ms 7L + 2s 432.0 ¢ to 442.1 ¢
10-mosstep Minor 10-mosstep m10ms 7L + 3s 442.1 ¢ to 480.0 ¢
Major 10-mosstep M10ms 8L + 2s 480.0 ¢ to 505.3 ¢
11-mosstep Minor 11-mosstep m11ms 8L + 3s 505.3 ¢ to 528.0 ¢
Major 11-mosstep M11ms 9L + 2s 528.0 ¢ to 568.4 ¢
12-mosstep Minor 12-mosstep m12ms 9L + 3s 568.4 ¢ to 576.0 ¢
Major 12-mosstep M12ms 10L + 2s 576.0 ¢ to 631.6 ¢
13-mosstep Minor 13-mosstep m13ms 9L + 4s 568.4 ¢ to 624.0 ¢
Major 13-mosstep M13ms 10L + 3s 624.0 ¢ to 631.6 ¢
14-mosstep Minor 14-mosstep m14ms 10L + 4s 631.6 ¢ to 672.0 ¢
Major 14-mosstep M14ms 11L + 3s 672.0 ¢ to 694.7 ¢
15-mosstep Minor 15-mosstep m15ms 11L + 4s 694.7 ¢ to 720.0 ¢
Major 15-mosstep M15ms 12L + 3s 720.0 ¢ to 757.9 ¢
16-mosstep Minor 16-mosstep m16ms 12L + 4s 757.9 ¢ to 768.0 ¢
Major 16-mosstep M16ms 13L + 3s 768.0 ¢ to 821.1 ¢
17-mosstep Minor 17-mosstep m17ms 12L + 5s 757.9 ¢ to 816.0 ¢
Major 17-mosstep M17ms 13L + 4s 816.0 ¢ to 821.1 ¢
18-mosstep Minor 18-mosstep m18ms 13L + 5s 821.1 ¢ to 864.0 ¢
Major 18-mosstep M18ms 14L + 4s 864.0 ¢ to 884.2 ¢
19-mosstep Minor 19-mosstep m19ms 14L + 5s 884.2 ¢ to 912.0 ¢
Major 19-mosstep M19ms 15L + 4s 912.0 ¢ to 947.4 ¢
20-mosstep Minor 20-mosstep m20ms 15L + 5s 947.4 ¢ to 960.0 ¢
Major 20-mosstep M20ms 16L + 4s 960.0 ¢ to 1010.5 ¢
21-mosstep Diminished 21-mosstep d21ms 15L + 6s 947.4 ¢ to 1008.0 ¢
Perfect 21-mosstep P21ms 16L + 5s 1008.0 ¢ to 1010.5 ¢
22-mosstep Minor 22-mosstep m22ms 16L + 6s 1010.5 ¢ to 1056.0 ¢
Major 22-mosstep M22ms 17L + 5s 1056.0 ¢ to 1073.7 ¢
23-mosstep Minor 23-mosstep m23ms 17L + 6s 1073.7 ¢ to 1104.0 ¢
Major 23-mosstep M23ms 18L + 5s 1104.0 ¢ to 1136.8 ¢
24-mosstep Minor 24-mosstep m24ms 18L + 6s 1136.8 ¢ to 1152.0 ¢
Major 24-mosstep M24ms 19L + 5s 1152.0 ¢ to 1200.0 ¢
25-mosstep Perfect 25-mosstep P25ms 19L + 6s 1200.0 ¢

Scale tree

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 19L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
21\25 1008.000 192.000 1:1 1.000 Equalized 19L 6s
121\144 1008.333 191.667 6:5 1.200
100\119 1008.403 191.597 5:4 1.250
179\213 1008.451 191.549 9:7 1.286
79\94 1008.511 191.489 4:3 1.333 Supersoft 19L 6s
216\257 1008.560 191.440 11:8 1.375
137\163 1008.589 191.411 7:5 1.400
195\232 1008.621 191.379 10:7 1.429
58\69 1008.696 191.304 3:2 1.500 Soft 19L 6s
211\251 1008.765 191.235 11:7 1.571
153\182 1008.791 191.209 8:5 1.600
248\295 1008.814 191.186 13:8 1.625
95\113 1008.850 191.150 5:3 1.667 Semisoft 19L 6s
227\270 1008.889 191.111 12:7 1.714
132\157 1008.917 191.083 7:4 1.750
169\201 1008.955 191.045 9:5 1.800
37\44 1009.091 190.909 2:1 2.000 Basic 19L 6s
Scales with tunings softer than this are proper
164\195 1009.231 190.769 9:4 2.250
127\151 1009.272 190.728 7:3 2.333
217\258 1009.302 190.698 12:5 2.400
90\107 1009.346 190.654 5:2 2.500 Semihard 19L 6s
233\277 1009.386 190.614 13:5 2.600
143\170 1009.412 190.588 8:3 2.667
196\233 1009.442 190.558 11:4 2.750
53\63 1009.524 190.476 3:1 3.000 Hard 19L 6s
175\208 1009.615 190.385 10:3 3.333
122\145 1009.655 190.345 7:2 3.500
191\227 1009.692 190.308 11:3 3.667
69\82 1009.756 190.244 4:1 4.000 Superhard 19L 6s
154\183 1009.836 190.164 9:2 4.500
85\101 1009.901 190.099 5:1 5.000
101\120 1010.000 190.000 6:1 6.000
16\19 1010.526 189.474 1:0 → ∞ Collapsed 19L 6s


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