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
Related to 6L 1s (archaeotonic)
With tunings 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 ¢.

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 interval regions.

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 ¢

Generator chain

Generator chain of 19L 6s
Bright gens Scale degree Abbrev.
43 Augmented 3-mosdegree A3md
42 Augmented 7-mosdegree A7md
41 Augmented 11-mosdegree A11md
40 Augmented 15-mosdegree A15md
39 Augmented 19-mosdegree A19md
38 Augmented 23-mosdegree A23md
37 Augmented 2-mosdegree A2md
36 Augmented 6-mosdegree A6md
35 Augmented 10-mosdegree A10md
34 Augmented 14-mosdegree A14md
33 Augmented 18-mosdegree A18md
32 Augmented 22-mosdegree A22md
31 Augmented 1-mosdegree A1md
30 Augmented 5-mosdegree A5md
29 Augmented 9-mosdegree A9md
28 Augmented 13-mosdegree A13md
27 Augmented 17-mosdegree A17md
26 Augmented 21-mosdegree A21md
25 Augmented 0-mosdegree A0md
24 Augmented 4-mosdegree A4md
23 Major 8-mosdegree M8md
22 Major 12-mosdegree M12md
21 Major 16-mosdegree M16md
20 Major 20-mosdegree M20md
19 Major 24-mosdegree M24md
18 Major 3-mosdegree M3md
17 Major 7-mosdegree M7md
16 Major 11-mosdegree M11md
15 Major 15-mosdegree M15md
14 Major 19-mosdegree M19md
13 Major 23-mosdegree M23md
12 Major 2-mosdegree M2md
11 Major 6-mosdegree M6md
10 Major 10-mosdegree M10md
9 Major 14-mosdegree M14md
8 Major 18-mosdegree M18md
7 Major 22-mosdegree M22md
6 Major 1-mosdegree M1md
5 Major 5-mosdegree M5md
4 Major 9-mosdegree M9md
3 Major 13-mosdegree M13md
2 Major 17-mosdegree M17md
1 Perfect 21-mosdegree P21md
0 Perfect 0-mosdegree
Perfect 25-mosdegree
P0md
P25md
−1 Perfect 4-mosdegree P4md
−2 Minor 8-mosdegree m8md
−3 Minor 12-mosdegree m12md
−4 Minor 16-mosdegree m16md
−5 Minor 20-mosdegree m20md
−6 Minor 24-mosdegree m24md
−7 Minor 3-mosdegree m3md
−8 Minor 7-mosdegree m7md
−9 Minor 11-mosdegree m11md
−10 Minor 15-mosdegree m15md
−11 Minor 19-mosdegree m19md
−12 Minor 23-mosdegree m23md
−13 Minor 2-mosdegree m2md
−14 Minor 6-mosdegree m6md
−15 Minor 10-mosdegree m10md
−16 Minor 14-mosdegree m14md
−17 Minor 18-mosdegree m18md
−18 Minor 22-mosdegree m22md
−19 Minor 1-mosdegree m1md
−20 Minor 5-mosdegree m5md
−21 Minor 9-mosdegree m9md
−22 Minor 13-mosdegree m13md
−23 Minor 17-mosdegree m17md
−24 Diminished 21-mosdegree d21md
−25 Diminished 25-mosdegree d25md
−26 Diminished 4-mosdegree d4md
−27 Diminished 8-mosdegree d8md
−28 Diminished 12-mosdegree d12md
−29 Diminished 16-mosdegree d16md
−30 Diminished 20-mosdegree d20md
−31 Diminished 24-mosdegree d24md
−32 Diminished 3-mosdegree d3md
−33 Diminished 7-mosdegree d7md
−34 Diminished 11-mosdegree d11md
−35 Diminished 15-mosdegree d15md
−36 Diminished 19-mosdegree d19md
−37 Diminished 23-mosdegree d23md
−38 Diminished 2-mosdegree d2md
−39 Diminished 6-mosdegree d6md
−40 Diminished 10-mosdegree d10md
−41 Diminished 14-mosdegree d14md
−42 Diminished 18-mosdegree d18md
−43 Diminished 22-mosdegree d22md

Modes

Scale degrees of the modes of 19L 6s
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 18 19 20 21 22 23 24 25
24|0 1 LLLLsLLLsLLLsLLLsLLLsLLLs Perf. Maj. Maj. Maj. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Perf.
23|1 22 LLLsLLLLsLLLsLLLsLLLsLLLs Perf. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Perf.
22|2 18 LLLsLLLsLLLLsLLLsLLLsLLLs Perf. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Perf.
21|3 14 LLLsLLLsLLLsLLLLsLLLsLLLs Perf. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Perf.
20|4 10 LLLsLLLsLLLsLLLsLLLLsLLLs Perf. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Perf.
19|5 6 LLLsLLLsLLLsLLLsLLLsLLLLs Perf. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Perf. Maj. Maj. Maj. Perf.
18|6 2 LLLsLLLsLLLsLLLsLLLsLLLsL Perf. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Perf. Maj. Maj. Min. Perf.
17|7 23 LLsLLLLsLLLsLLLsLLLsLLLsL Perf. Maj. Maj. Min. Perf. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Perf. Maj. Maj. Min. Perf.
16|8 19 LLsLLLsLLLLsLLLsLLLsLLLsL Perf. Maj. Maj. Min. Perf. Maj. Maj. Min. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Perf. Maj. Maj. Min. Perf.
15|9 15 LLsLLLsLLLsLLLLsLLLsLLLsL Perf. Maj. Maj. Min. Perf. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Maj. Min. Maj. Maj. Maj. Min. Perf. Maj. Maj. Min. Perf.
14|10 11 LLsLLLsLLLsLLLsLLLLsLLLsL Perf. Maj. Maj. Min. Perf. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Maj. Min. Perf. Maj. Maj. Min. Perf.
13|11 7 LLsLLLsLLLsLLLsLLLsLLLLsL Perf. Maj. Maj. Min. Perf. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Perf. Maj. Maj. Min. Perf.
12|12 3 LLsLLLsLLLsLLLsLLLsLLLsLL Perf. Maj. Maj. Min. Perf. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Perf. Maj. Min. Min. Perf.
11|13 24 LsLLLLsLLLsLLLsLLLsLLLsLL Perf. Maj. Min. Min. Perf. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Perf. Maj. Min. Min. Perf.
10|14 20 LsLLLsLLLLsLLLsLLLsLLLsLL Perf. Maj. Min. Min. Perf. Maj. Min. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Perf. Maj. Min. Min. Perf.
9|15 16 LsLLLsLLLsLLLLsLLLsLLLsLL Perf. Maj. Min. Min. Perf. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Maj. Min. Min. Maj. Maj. Min. Min. Perf. Maj. Min. Min. Perf.
8|16 12 LsLLLsLLLsLLLsLLLLsLLLsLL Perf. Maj. Min. Min. Perf. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Maj. Min. Min. Perf. Maj. Min. Min. Perf.
7|17 8 LsLLLsLLLsLLLsLLLsLLLLsLL Perf. Maj. Min. Min. Perf. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Perf. Maj. Min. Min. Perf.
6|18 4 LsLLLsLLLsLLLsLLLsLLLsLLL Perf. Maj. Min. Min. Perf. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Perf. Min. Min. Min. Perf.
5|19 25 sLLLLsLLLsLLLsLLLsLLLsLLL Perf. Min. Min. Min. Perf. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Perf. Min. Min. Min. Perf.
4|20 21 sLLLsLLLLsLLLsLLLsLLLsLLL Perf. Min. Min. Min. Perf. Min. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Perf. Min. Min. Min. Perf.
3|21 17 sLLLsLLLsLLLLsLLLsLLLsLLL Perf. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Min. Maj. Min. Min. Min. Perf. Min. Min. Min. Perf.
2|22 13 sLLLsLLLsLLLsLLLLsLLLsLLL Perf. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Min. Perf. Min. Min. Min. Perf.
1|23 9 sLLLsLLLsLLLsLLLsLLLLsLLL Perf. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Perf.
0|24 5 sLLLsLLLsLLLsLLLsLLLsLLLL Perf. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Dim. Min. Min. Min. Perf.

Scale tree

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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