11L 7s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 10L 6s ↑ 11L 6s 12L 6s ↗
← 10L 7s 11L 7s 12L 7s →
↙ 10L 8s ↓ 11L 8s 12L 8s ↘ 
┌╥╥┬╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬┐
│║║│║║│║│║║│║│║║│║││
││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLsLLsLsLLsLs
sLsLLsLsLLsLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\18 to 8\11 (866.7 ¢ to 872.7 ¢)
Dark 3\11 to 5\18 (327.3 ¢ to 333.3 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 7L 4s
Sister 7L 11s
Daughters 18L 11s, 11L 18s
Neutralized 4L 14s
2-Flought 29L 7s, 11L 25s
Equal tunings
Equalized (L:s = 1:1) 13\18 (866.7 ¢)
Supersoft (L:s = 4:3) 47\65 (867.7 ¢)
Soft (L:s = 3:2) 34\47 (868.1 ¢)
Semisoft (L:s = 5:3) 55\76 (868.4 ¢)
Basic (L:s = 2:1) 21\29 (869.0 ¢)
Semihard (L:s = 5:2) 50\69 (869.6 ¢)
Hard (L:s = 3:1) 29\40 (870.0 ¢)
Superhard (L:s = 4:1) 37\51 (870.6 ¢)
Collapsed (L:s = 1:0) 8\11 (872.7 ¢)

11L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 7 small steps, repeating every octave. 11L 7s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 866.7 ¢ to 872.7 ¢, or from 327.3 ¢ to 333.3 ¢.

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 11L 7s
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 66.7 ¢
Major 1-mosstep M1ms L 66.7 ¢ to 109.1 ¢
2-mosstep Minor 2-mosstep m2ms L + s 109.1 ¢ to 133.3 ¢
Major 2-mosstep M2ms 2L 133.3 ¢ to 218.2 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 109.1 ¢ to 200.0 ¢
Major 3-mosstep M3ms 2L + s 200.0 ¢ to 218.2 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 218.2 ¢ to 266.7 ¢
Major 4-mosstep M4ms 3L + s 266.7 ¢ to 327.3 ¢
5-mosstep Perfect 5-mosstep P5ms 3L + 2s 327.3 ¢ to 333.3 ¢
Augmented 5-mosstep A5ms 4L + s 333.3 ¢ to 436.4 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 327.3 ¢ to 400.0 ¢
Major 6-mosstep M6ms 4L + 2s 400.0 ¢ to 436.4 ¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 436.4 ¢ to 466.7 ¢
Major 7-mosstep M7ms 5L + 2s 466.7 ¢ to 545.5 ¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 436.4 ¢ to 533.3 ¢
Major 8-mosstep M8ms 5L + 3s 533.3 ¢ to 545.5 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 545.5 ¢ to 600.0 ¢
Major 9-mosstep M9ms 6L + 3s 600.0 ¢ to 654.5 ¢
10-mosstep Minor 10-mosstep m10ms 6L + 4s 654.5 ¢ to 666.7 ¢
Major 10-mosstep M10ms 7L + 3s 666.7 ¢ to 763.6 ¢
11-mosstep Minor 11-mosstep m11ms 6L + 5s 654.5 ¢ to 733.3 ¢
Major 11-mosstep M11ms 7L + 4s 733.3 ¢ to 763.6 ¢
12-mosstep Minor 12-mosstep m12ms 7L + 5s 763.6 ¢ to 800.0 ¢
Major 12-mosstep M12ms 8L + 4s 800.0 ¢ to 872.7 ¢
13-mosstep Diminished 13-mosstep d13ms 7L + 6s 763.6 ¢ to 866.7 ¢
Perfect 13-mosstep P13ms 8L + 5s 866.7 ¢ to 872.7 ¢
14-mosstep Minor 14-mosstep m14ms 8L + 6s 872.7 ¢ to 933.3 ¢
Major 14-mosstep M14ms 9L + 5s 933.3 ¢ to 981.8 ¢
15-mosstep Minor 15-mosstep m15ms 9L + 6s 981.8 ¢ to 1000.0 ¢
Major 15-mosstep M15ms 10L + 5s 1000.0 ¢ to 1090.9 ¢
16-mosstep Minor 16-mosstep m16ms 9L + 7s 981.8 ¢ to 1066.7 ¢
Major 16-mosstep M16ms 10L + 6s 1066.7 ¢ to 1090.9 ¢
17-mosstep Minor 17-mosstep m17ms 10L + 7s 1090.9 ¢ to 1133.3 ¢
Major 17-mosstep M17ms 11L + 6s 1133.3 ¢ to 1200.0 ¢
18-mosstep Perfect 18-mosstep P18ms 11L + 7s 1200.0 ¢

Generator chain

Generator chain of 11L 7s
Bright gens Scale degree Abbrev.
28 Augmented 4-mosdegree A4md
27 Augmented 9-mosdegree A9md
26 Augmented 14-mosdegree A14md
25 Augmented 1-mosdegree A1md
24 Augmented 6-mosdegree A6md
23 Augmented 11-mosdegree A11md
22 Augmented 16-mosdegree A16md
21 Augmented 3-mosdegree A3md
20 Augmented 8-mosdegree A8md
19 Augmented 13-mosdegree A13md
18 Augmented 0-mosdegree A0md
17 Augmented 5-mosdegree A5md
16 Major 10-mosdegree M10md
15 Major 15-mosdegree M15md
14 Major 2-mosdegree M2md
13 Major 7-mosdegree M7md
12 Major 12-mosdegree M12md
11 Major 17-mosdegree M17md
10 Major 4-mosdegree M4md
9 Major 9-mosdegree M9md
8 Major 14-mosdegree M14md
7 Major 1-mosdegree M1md
6 Major 6-mosdegree M6md
5 Major 11-mosdegree M11md
4 Major 16-mosdegree M16md
3 Major 3-mosdegree M3md
2 Major 8-mosdegree M8md
1 Perfect 13-mosdegree P13md
0 Perfect 0-mosdegree
Perfect 18-mosdegree		 P0md
P18md
−1 Perfect 5-mosdegree P5md
−2 Minor 10-mosdegree m10md
−3 Minor 15-mosdegree m15md
−4 Minor 2-mosdegree m2md
−5 Minor 7-mosdegree m7md
−6 Minor 12-mosdegree m12md
−7 Minor 17-mosdegree m17md
−8 Minor 4-mosdegree m4md
−9 Minor 9-mosdegree m9md
−10 Minor 14-mosdegree m14md
−11 Minor 1-mosdegree m1md
−12 Minor 6-mosdegree m6md
−13 Minor 11-mosdegree m11md
−14 Minor 16-mosdegree m16md
−15 Minor 3-mosdegree m3md
−16 Minor 8-mosdegree m8md
−17 Diminished 13-mosdegree d13md
−18 Diminished 18-mosdegree d18md
−19 Diminished 5-mosdegree d5md
−20 Diminished 10-mosdegree d10md
−21 Diminished 15-mosdegree d15md
−22 Diminished 2-mosdegree d2md
−23 Diminished 7-mosdegree d7md
−24 Diminished 12-mosdegree d12md
−25 Diminished 17-mosdegree d17md
−26 Diminished 4-mosdegree d4md
−27 Diminished 9-mosdegree d9md
−28 Diminished 14-mosdegree d14md

Modes

Scale degrees of the modes of 11L 7s
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
17|0 1 LLsLLsLsLLsLsLLsLs Perf. Maj. Maj. Maj. Maj. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Perf.
16|1 14 LLsLsLLsLLsLsLLsLs Perf. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Perf.
15|2 9 LLsLsLLsLsLLsLLsLs Perf. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Min. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Perf.
14|3 4 LLsLsLLsLsLLsLsLLs Perf. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Perf.
13|4 17 LsLLsLLsLsLLsLsLLs Perf. Maj. Min. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Perf.
12|5 12 LsLLsLsLLsLLsLsLLs Perf. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Perf.
11|6 7 LsLLsLsLLsLsLLsLLs Perf. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Maj. Perf.
10|7 2 LsLLsLsLLsLsLLsLsL Perf. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Perf.
9|8 15 LsLsLLsLLsLsLLsLsL Perf. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Perf.
8|9 10 LsLsLLsLsLLsLLsLsL Perf. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Perf.
7|10 5 LsLsLLsLsLLsLsLLsL Perf. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Perf.
6|11 18 sLLsLLsLsLLsLsLLsL Perf. Min. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Perf.
5|12 13 sLLsLsLLsLLsLsLLsL Perf. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Perf.
4|13 8 sLLsLsLLsLsLLsLLsL Perf. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Min. Min. Min. Perf. Min. Min. Maj. Min. Perf.
3|14 3 sLLsLsLLsLsLLsLsLL Perf. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Perf.
2|15 16 sLsLLsLLsLsLLsLsLL Perf. Min. Min. Min. Min. Perf. Min. Min. Maj. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Perf.
1|16 11 sLsLLsLsLLsLLsLsLL Perf. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Perf.
0|17 6 sLsLLsLsLLsLsLLsLL Perf. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Dim. Min. Min. Min. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 11L 7s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
13\18 866.667 333.333 1:1 1.000 Equalized 11L 7s
73\101 867.327 332.673 6:5 1.200
60\83 867.470 332.530 5:4 1.250
107\148 867.568 332.432 9:7 1.286
47\65 867.692 332.308 4:3 1.333 Supersoft 11L 7s
128\177 867.797 332.203 11:8 1.375
81\112 867.857 332.143 7:5 1.400
115\159 867.925 332.075 10:7 1.429
34\47 868.085 331.915 3:2 1.500 Soft 11L 7s
123\170 868.235 331.765 11:7 1.571
89\123 868.293 331.707 8:5 1.600
144\199 868.342 331.658 13:8 1.625
55\76 868.421 331.579 5:3 1.667 Semisoft 11L 7s
131\181 868.508 331.492 12:7 1.714
76\105 868.571 331.429 7:4 1.750
97\134 868.657 331.343 9:5 1.800
21\29 868.966 331.034 2:1 2.000 Basic 11L 7s
Scales with tunings softer than this are proper
92\127 869.291 330.709 9:4 2.250
71\98 869.388 330.612 7:3 2.333
121\167 869.461 330.539 12:5 2.400
50\69 869.565 330.435 5:2 2.500 Semihard 11L 7s
129\178 869.663 330.337 13:5 2.600
79\109 869.725 330.275 8:3 2.667
108\149 869.799 330.201 11:4 2.750
29\40 870.000 330.000 3:1 3.000 Hard 11L 7s
95\131 870.229 329.771 10:3 3.333
66\91 870.330 329.670 7:2 3.500
103\142 870.423 329.577 11:3 3.667
37\51 870.588 329.412 4:1 4.000 Superhard 11L 7s
82\113 870.796 329.204 9:2 4.500
45\62 870.968 329.032 5:1 5.000
53\73 871.233 328.767 6:1 6.000
8\11 872.727 327.273 1:0 → ∞ Collapsed 11L 7s
Icon-Stub.png This page is a stub. You can help the Xenharmonic Wiki by expanding it.
Retrieved from "https://en.xen.wiki/index.php?title=11L_7s&oldid=184294"