19L 8s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 18L 7s ↑ 19L 7s 20L 7s ↗
← 18L 8s 19L 8s 20L 8s →
↙ 18L 9s ↓ 19L 9s 20L 9s ↘
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐
│║║║│║║│║║║│║║│║║│║║║│║║│║║││
│││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLsLLLsLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\27 to 12\19 (755.6 ¢ to 757.9 ¢)
Dark 7\19 to 10\27 (442.1 ¢ to 444.4 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 4:3 to 3:2 (parasoft)
Related MOS scales
Parent 8L 11s
Sister 8L 19s
Daughters 27L 19s, 19L 27s
Neutralized 11L 16s
2-Flought 46L 8s, 19L 35s
Equal tunings
Equalized (L:s = 1:1) 17\27 (755.6 ¢)
Supersoft (L:s = 4:3) 63\100 (756.0 ¢)
Soft (L:s = 3:2) 46\73 (756.2 ¢)
Semisoft (L:s = 5:3) 75\119 (756.3 ¢)
Basic (L:s = 2:1) 29\46 (756.5 ¢)
Semihard (L:s = 5:2) 70\111 (756.8 ¢)
Hard (L:s = 3:1) 41\65 (756.9 ¢)
Superhard (L:s = 4:1) 53\84 (757.1 ¢)
Collapsed (L:s = 1:0) 12\19 (757.9 ¢)

19L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 8 small steps, repeating every octave. 19L 8s is a great-grandchild scale of 3L 5s, expanding it by 19 tones. Generators that produce this scale range from 755.6 ¢ to 757.9 ¢, or from 442.1 ¢ to 444.4 ¢. This scale is primarily associated with sensi and variants thereof, especially the more accurate sensipent extensions such as sensible and sendai.

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 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 44.4 ¢
Major 1-mosstep M1ms L 44.4 ¢ to 63.2 ¢
2-mosstep Minor 2-mosstep m2ms L + s 63.2 ¢ to 88.9 ¢
Major 2-mosstep M2ms 2L 88.9 ¢ to 126.3 ¢
3-mosstep Minor 3-mosstep m3ms 2L + s 126.3 ¢ to 133.3 ¢
Major 3-mosstep M3ms 3L 133.3 ¢ to 189.5 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 126.3 ¢ to 177.8 ¢
Major 4-mosstep M4ms 3L + s 177.8 ¢ to 189.5 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 189.5 ¢ to 222.2 ¢
Major 5-mosstep M5ms 4L + s 222.2 ¢ to 252.6 ¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 252.6 ¢ to 266.7 ¢
Major 6-mosstep M6ms 5L + s 266.7 ¢ to 315.8 ¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 252.6 ¢ to 311.1 ¢
Major 7-mosstep M7ms 5L + 2s 311.1 ¢ to 315.8 ¢
8-mosstep Minor 8-mosstep m8ms 5L + 3s 315.8 ¢ to 355.6 ¢
Major 8-mosstep M8ms 6L + 2s 355.6 ¢ to 378.9 ¢
9-mosstep Minor 9-mosstep m9ms 6L + 3s 378.9 ¢ to 400.0 ¢
Major 9-mosstep M9ms 7L + 2s 400.0 ¢ to 442.1 ¢
10-mosstep Perfect 10-mosstep P10ms 7L + 3s 442.1 ¢ to 444.4 ¢
Augmented 10-mosstep A10ms 8L + 2s 444.4 ¢ to 505.3 ¢
11-mosstep Minor 11-mosstep m11ms 7L + 4s 442.1 ¢ to 488.9 ¢
Major 11-mosstep M11ms 8L + 3s 488.9 ¢ to 505.3 ¢
12-mosstep Minor 12-mosstep m12ms 8L + 4s 505.3 ¢ to 533.3 ¢
Major 12-mosstep M12ms 9L + 3s 533.3 ¢ to 568.4 ¢
13-mosstep Minor 13-mosstep m13ms 9L + 4s 568.4 ¢ to 577.8 ¢
Major 13-mosstep M13ms 10L + 3s 577.8 ¢ to 631.6 ¢
14-mosstep Minor 14-mosstep m14ms 9L + 5s 568.4 ¢ to 622.2 ¢
Major 14-mosstep M14ms 10L + 4s 622.2 ¢ to 631.6 ¢
15-mosstep Minor 15-mosstep m15ms 10L + 5s 631.6 ¢ to 666.7 ¢
Major 15-mosstep M15ms 11L + 4s 666.7 ¢ to 694.7 ¢
16-mosstep Minor 16-mosstep m16ms 11L + 5s 694.7 ¢ to 711.1 ¢
Major 16-mosstep M16ms 12L + 4s 711.1 ¢ to 757.9 ¢
17-mosstep Diminished 17-mosstep d17ms 11L + 6s 694.7 ¢ to 755.6 ¢
Perfect 17-mosstep P17ms 12L + 5s 755.6 ¢ to 757.9 ¢
18-mosstep Minor 18-mosstep m18ms 12L + 6s 757.9 ¢ to 800.0 ¢
Major 18-mosstep M18ms 13L + 5s 800.0 ¢ to 821.1 ¢
19-mosstep Minor 19-mosstep m19ms 13L + 6s 821.1 ¢ to 844.4 ¢
Major 19-mosstep M19ms 14L + 5s 844.4 ¢ to 884.2 ¢
20-mosstep Minor 20-mosstep m20ms 14L + 6s 884.2 ¢ to 888.9 ¢
Major 20-mosstep M20ms 15L + 5s 888.9 ¢ to 947.4 ¢
21-mosstep Minor 21-mosstep m21ms 14L + 7s 884.2 ¢ to 933.3 ¢
Major 21-mosstep M21ms 15L + 6s 933.3 ¢ to 947.4 ¢
22-mosstep Minor 22-mosstep m22ms 15L + 7s 947.4 ¢ to 977.8 ¢
Major 22-mosstep M22ms 16L + 6s 977.8 ¢ to 1010.5 ¢
23-mosstep Minor 23-mosstep m23ms 16L + 7s 1010.5 ¢ to 1022.2 ¢
Major 23-mosstep M23ms 17L + 6s 1022.2 ¢ to 1073.7 ¢
24-mosstep Minor 24-mosstep m24ms 16L + 8s 1010.5 ¢ to 1066.7 ¢
Major 24-mosstep M24ms 17L + 7s 1066.7 ¢ to 1073.7 ¢
25-mosstep Minor 25-mosstep m25ms 17L + 8s 1073.7 ¢ to 1111.1 ¢
Major 25-mosstep M25ms 18L + 7s 1111.1 ¢ to 1136.8 ¢
26-mosstep Minor 26-mosstep m26ms 18L + 8s 1136.8 ¢ to 1155.6 ¢
Major 26-mosstep M26ms 19L + 7s 1155.6 ¢ to 1200.0 ¢
27-mosstep Perfect 27-mosstep P27ms 19L + 8s 1200.0 ¢

Generator chain

Generator chain of 19L 8s
Bright gens Scale degree Abbrev.
45 Augmented 9-mosdegree A9md
44 Augmented 19-mosdegree A19md
43 Augmented 2-mosdegree A2md
42 Augmented 12-mosdegree A12md
41 Augmented 22-mosdegree A22md
40 Augmented 5-mosdegree A5md
39 Augmented 15-mosdegree A15md
38 Augmented 25-mosdegree A25md
37 Augmented 8-mosdegree A8md
36 Augmented 18-mosdegree A18md
35 Augmented 1-mosdegree A1md
34 Augmented 11-mosdegree A11md
33 Augmented 21-mosdegree A21md
32 Augmented 4-mosdegree A4md
31 Augmented 14-mosdegree A14md
30 Augmented 24-mosdegree A24md
29 Augmented 7-mosdegree A7md
28 Augmented 17-mosdegree A17md
27 Augmented 0-mosdegree A0md
26 Augmented 10-mosdegree A10md
25 Major 20-mosdegree M20md
24 Major 3-mosdegree M3md
23 Major 13-mosdegree M13md
22 Major 23-mosdegree M23md
21 Major 6-mosdegree M6md
20 Major 16-mosdegree M16md
19 Major 26-mosdegree M26md
18 Major 9-mosdegree M9md
17 Major 19-mosdegree M19md
16 Major 2-mosdegree M2md
15 Major 12-mosdegree M12md
14 Major 22-mosdegree M22md
13 Major 5-mosdegree M5md
12 Major 15-mosdegree M15md
11 Major 25-mosdegree M25md
10 Major 8-mosdegree M8md
9 Major 18-mosdegree M18md
8 Major 1-mosdegree M1md
7 Major 11-mosdegree M11md
6 Major 21-mosdegree M21md
5 Major 4-mosdegree M4md
4 Major 14-mosdegree M14md
3 Major 24-mosdegree M24md
2 Major 7-mosdegree M7md
1 Perfect 17-mosdegree P17md
0 Perfect 0-mosdegree
Perfect 27-mosdegree
P0md
P27md
−1 Perfect 10-mosdegree P10md
−2 Minor 20-mosdegree m20md
−3 Minor 3-mosdegree m3md
−4 Minor 13-mosdegree m13md
−5 Minor 23-mosdegree m23md
−6 Minor 6-mosdegree m6md
−7 Minor 16-mosdegree m16md
−8 Minor 26-mosdegree m26md
−9 Minor 9-mosdegree m9md
−10 Minor 19-mosdegree m19md
−11 Minor 2-mosdegree m2md
−12 Minor 12-mosdegree m12md
−13 Minor 22-mosdegree m22md
−14 Minor 5-mosdegree m5md
−15 Minor 15-mosdegree m15md
−16 Minor 25-mosdegree m25md
−17 Minor 8-mosdegree m8md
−18 Minor 18-mosdegree m18md
−19 Minor 1-mosdegree m1md
−20 Minor 11-mosdegree m11md
−21 Minor 21-mosdegree m21md
−22 Minor 4-mosdegree m4md
−23 Minor 14-mosdegree m14md
−24 Minor 24-mosdegree m24md
−25 Minor 7-mosdegree m7md
−26 Diminished 17-mosdegree d17md
−27 Diminished 27-mosdegree d27md
−28 Diminished 10-mosdegree d10md
−29 Diminished 20-mosdegree d20md
−30 Diminished 3-mosdegree d3md
−31 Diminished 13-mosdegree d13md
−32 Diminished 23-mosdegree d23md
−33 Diminished 6-mosdegree d6md
−34 Diminished 16-mosdegree d16md
−35 Diminished 26-mosdegree d26md
−36 Diminished 9-mosdegree d9md
−37 Diminished 19-mosdegree d19md
−38 Diminished 2-mosdegree d2md
−39 Diminished 12-mosdegree d12md
−40 Diminished 22-mosdegree d22md
−41 Diminished 5-mosdegree d5md
−42 Diminished 15-mosdegree d15md
−43 Diminished 25-mosdegree d25md
−44 Diminished 8-mosdegree d8md
−45 Diminished 18-mosdegree d18md

Modes

Scale degrees of the modes of 19L 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 18 19 20 21 22 23 24 25 26 27
26|0 1 LLLsLLsLLLsLLsLLsLLLsLLsLLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
25|1 18 LLLsLLsLLsLLLsLLsLLLsLLsLLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
24|2 8 LLLsLLsLLsLLLsLLsLLsLLLsLLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
23|3 25 LLsLLLsLLsLLLsLLsLLsLLLsLLs Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
22|4 15 LLsLLLsLLsLLsLLLsLLsLLLsLLs Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
21|5 5 LLsLLLsLLsLLsLLLsLLsLLsLLLs Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Perf.
20|6 22 LLsLLsLLLsLLsLLLsLLsLLsLLLs Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Perf.
19|7 12 LLsLLsLLLsLLsLLsLLLsLLsLLLs Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Perf.
18|8 2 LLsLLsLLLsLLsLLsLLLsLLsLLsL Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Perf.
17|9 19 LLsLLsLLsLLLsLLsLLLsLLsLLsL Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Perf.
16|10 9 LLsLLsLLsLLLsLLsLLsLLLsLLsL Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Maj. Min. Maj. Maj. Min. Perf.
15|11 26 LsLLLsLLsLLLsLLsLLsLLLsLLsL Perf. Maj. Min. Min. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Maj. Min. Maj. Maj. Min. Perf.
14|12 16 LsLLLsLLsLLsLLLsLLsLLLsLLsL Perf. Maj. Min. Min. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Maj. Min. Maj. Maj. Min. Perf.
13|13 6 LsLLLsLLsLLsLLLsLLsLLsLLLsL Perf. Maj. Min. Min. Maj. Maj. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Min. Min. Maj. Maj. Min. Perf.
12|14 23 LsLLsLLLsLLsLLLsLLsLLsLLLsL Perf. Maj. Min. Min. Maj. Min. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Min. Min. Maj. Maj. Min. Perf.
11|15 13 LsLLsLLLsLLsLLsLLLsLLsLLLsL Perf. Maj. Min. Min. Maj. Min. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Min. Min. Perf. Maj. Min. Min. Maj. Min. Min. Maj. Maj. Min. Perf.
10|16 3 LsLLsLLLsLLsLLsLLLsLLsLLsLL Perf. Maj. Min. Min. Maj. Min. Min. Maj. Maj. Min. Perf. Maj. Min. Min. Maj. Min. Min. Perf. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf.
9|17 20 LsLLsLLsLLLsLLsLLLsLLsLLsLL Perf. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Maj. Min. Min. Maj. Min. Min. Perf. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf.
8|18 10 LsLLsLLsLLLsLLsLLsLLLsLLsLL Perf. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf.
7|19 27 sLLLsLLsLLLsLLsLLsLLLsLLsLL Perf. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf.
6|20 17 sLLLsLLsLLsLLLsLLsLLLsLLsLL Perf. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf.
5|21 7 sLLLsLLsLLsLLLsLLsLLsLLLsLL Perf. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf.
4|22 24 sLLsLLLsLLsLLLsLLsLLsLLLsLL Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf.
3|23 14 sLLsLLLsLLsLLsLLLsLLsLLLsLL Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf.
2|24 4 sLLsLLLsLLsLLsLLLsLLsLLsLLL Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf.
1|25 21 sLLsLLsLLLsLLsLLLsLLsLLsLLL Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf.
0|26 11 sLLsLLsLLLsLLsLLsLLLsLLsLLL Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Dim. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 19L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
17\27 755.556 444.444 1:1 1.000 Equalized 19L 8s
97\154 755.844 444.156 6:5 1.200
80\127 755.906 444.094 5:4 1.250
143\227 755.947 444.053 9:7 1.286
63\100 756.000 444.000 4:3 1.333 Supersoft 19L 8s
172\273 756.044 443.956 11:8 1.375
109\173 756.069 443.931 7:5 1.400
155\246 756.098 443.902 10:7 1.429
46\73 756.164 443.836 3:2 1.500 Soft 19L 8s
167\265 756.226 443.774 11:7 1.571
121\192 756.250 443.750 8:5 1.600
196\311 756.270 443.730 13:8 1.625
75\119 756.303 443.697 5:3 1.667 Semisoft 19L 8s
179\284 756.338 443.662 12:7 1.714
104\165 756.364 443.636 7:4 1.750
133\211 756.398 443.602 9:5 1.800
29\46 756.522 443.478 2:1 2.000 Basic 19L 8s
Scales with tunings softer than this are proper
128\203 756.650 443.350 9:4 2.250
99\157 756.688 443.312 7:3 2.333
169\268 756.716 443.284 12:5 2.400
70\111 756.757 443.243 5:2 2.500 Semihard 19L 8s
181\287 756.794 443.206 13:5 2.600
111\176 756.818 443.182 8:3 2.667
152\241 756.846 443.154 11:4 2.750
41\65 756.923 443.077 3:1 3.000 Hard 19L 8s
135\214 757.009 442.991 10:3 3.333
94\149 757.047 442.953 7:2 3.500
147\233 757.082 442.918 11:3 3.667
53\84 757.143 442.857 4:1 4.000 Superhard 19L 8s
118\187 757.219 442.781 9:2 4.500
65\103 757.282 442.718 5:1 5.000
77\122 757.377 442.623 6:1 6.000
12\19 757.895 442.105 1:0 → ∞ Collapsed 19L 8s
This page is a stub. You can help the Xenharmonic Wiki by expanding it.