11L 6s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 10L 5s ↑ 11L 5s 12L 5s ↗
← 10L 6s 11L 6s 12L 6s →
↙ 10L 7s ↓ 11L 7s 12L 7s ↘ 
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║║│║║│║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLLsLLsLs
sLsLLsLLsLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\17 to 2\11 (211.8 ¢ to 218.2 ¢)
Dark 9\11 to 14\17 (981.8 ¢ to 988.2 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 6L 5s
Sister 6L 11s
Daughters 17L 11s, 11L 17s
Neutralized 5L 12s
2-Flought 28L 6s, 11L 23s
Equal tunings
Equalized (L:s = 1:1) 3\17 (211.8 ¢)
Supersoft (L:s = 4:3) 11\62 (212.9 ¢)
Soft (L:s = 3:2) 8\45 (213.3 ¢)
Semisoft (L:s = 5:3) 13\73 (213.7 ¢)
Basic (L:s = 2:1) 5\28 (214.3 ¢)
Semihard (L:s = 5:2) 12\67 (214.9 ¢)
Hard (L:s = 3:1) 7\39 (215.4 ¢)
Superhard (L:s = 4:1) 9\50 (216.0 ¢)
Collapsed (L:s = 1:0) 2\11 (218.2 ¢)

11L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 6 small steps, repeating every octave. 11L 6s is a grandchild scale of 5L 1s, expanding it by 11 tones. Generators that produce this scale range from 211.8 ¢ to 218.2 ¢, or from 981.8 ¢ to 988.2 ¢.

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 11L 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 70.6 ¢
Major 1-mosstep M1ms L 70.6 ¢ to 109.1 ¢
2-mosstep Minor 2-mosstep m2ms L + s 109.1 ¢ to 141.2 ¢
Major 2-mosstep M2ms 2L 141.2 ¢ to 218.2 ¢
3-mosstep Diminished 3-mosstep d3ms L + 2s 109.1 ¢ to 211.8 ¢
Perfect 3-mosstep P3ms 2L + s 211.8 ¢ to 218.2 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 218.2 ¢ to 282.4 ¢
Major 4-mosstep M4ms 3L + s 282.4 ¢ to 327.3 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 327.3 ¢ to 352.9 ¢
Major 5-mosstep M5ms 4L + s 352.9 ¢ to 436.4 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 327.3 ¢ to 423.5 ¢
Major 6-mosstep M6ms 4L + 2s 423.5 ¢ to 436.4 ¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 436.4 ¢ to 494.1 ¢
Major 7-mosstep M7ms 5L + 2s 494.1 ¢ to 545.5 ¢
8-mosstep Minor 8-mosstep m8ms 5L + 3s 545.5 ¢ to 564.7 ¢
Major 8-mosstep M8ms 6L + 2s 564.7 ¢ to 654.5 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 545.5 ¢ to 635.3 ¢
Major 9-mosstep M9ms 6L + 3s 635.3 ¢ to 654.5 ¢
10-mosstep Minor 10-mosstep m10ms 6L + 4s 654.5 ¢ to 705.9 ¢
Major 10-mosstep M10ms 7L + 3s 705.9 ¢ to 763.6 ¢
11-mosstep Minor 11-mosstep m11ms 7L + 4s 763.6 ¢ to 776.5 ¢
Major 11-mosstep M11ms 8L + 3s 776.5 ¢ to 872.7 ¢
12-mosstep Minor 12-mosstep m12ms 7L + 5s 763.6 ¢ to 847.1 ¢
Major 12-mosstep M12ms 8L + 4s 847.1 ¢ to 872.7 ¢
13-mosstep Minor 13-mosstep m13ms 8L + 5s 872.7 ¢ to 917.6 ¢
Major 13-mosstep M13ms 9L + 4s 917.6 ¢ to 981.8 ¢
14-mosstep Perfect 14-mosstep P14ms 9L + 5s 981.8 ¢ to 988.2 ¢
Augmented 14-mosstep A14ms 10L + 4s 988.2 ¢ to 1090.9 ¢
15-mosstep Minor 15-mosstep m15ms 9L + 6s 981.8 ¢ to 1058.8 ¢
Major 15-mosstep M15ms 10L + 5s 1058.8 ¢ to 1090.9 ¢
16-mosstep Minor 16-mosstep m16ms 10L + 6s 1090.9 ¢ to 1129.4 ¢
Major 16-mosstep M16ms 11L + 5s 1129.4 ¢ to 1200.0 ¢
17-mosstep Perfect 17-mosstep P17ms 11L + 6s 1200.0 ¢

Generator chain

Generator chain of 11L 6s
Bright gens Scale degree Abbrev.
27 Augmented 13-mosdegree A13md
26 Augmented 10-mosdegree A10md
25 Augmented 7-mosdegree A7md
24 Augmented 4-mosdegree A4md
23 Augmented 1-mosdegree A1md
22 Augmented 15-mosdegree A15md
21 Augmented 12-mosdegree A12md
20 Augmented 9-mosdegree A9md
19 Augmented 6-mosdegree A6md
18 Augmented 3-mosdegree A3md
17 Augmented 0-mosdegree A0md
16 Augmented 14-mosdegree A14md
15 Major 11-mosdegree M11md
14 Major 8-mosdegree M8md
13 Major 5-mosdegree M5md
12 Major 2-mosdegree M2md
11 Major 16-mosdegree M16md
10 Major 13-mosdegree M13md
9 Major 10-mosdegree M10md
8 Major 7-mosdegree M7md
7 Major 4-mosdegree M4md
6 Major 1-mosdegree M1md
5 Major 15-mosdegree M15md
4 Major 12-mosdegree M12md
3 Major 9-mosdegree M9md
2 Major 6-mosdegree M6md
1 Perfect 3-mosdegree P3md
0 Perfect 0-mosdegree
Perfect 17-mosdegree		 P0md
P17md
−1 Perfect 14-mosdegree P14md
−2 Minor 11-mosdegree m11md
−3 Minor 8-mosdegree m8md
−4 Minor 5-mosdegree m5md
−5 Minor 2-mosdegree m2md
−6 Minor 16-mosdegree m16md
−7 Minor 13-mosdegree m13md
−8 Minor 10-mosdegree m10md
−9 Minor 7-mosdegree m7md
−10 Minor 4-mosdegree m4md
−11 Minor 1-mosdegree m1md
−12 Minor 15-mosdegree m15md
−13 Minor 12-mosdegree m12md
−14 Minor 9-mosdegree m9md
−15 Minor 6-mosdegree m6md
−16 Diminished 3-mosdegree d3md
−17 Diminished 17-mosdegree d17md
−18 Diminished 14-mosdegree d14md
−19 Diminished 11-mosdegree d11md
−20 Diminished 8-mosdegree d8md
−21 Diminished 5-mosdegree d5md
−22 Diminished 2-mosdegree d2md
−23 Diminished 16-mosdegree d16md
−24 Diminished 13-mosdegree d13md
−25 Diminished 10-mosdegree d10md
−26 Diminished 7-mosdegree d7md
−27 Diminished 4-mosdegree d4md

Modes

Scale degrees of the modes of 11L 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
16|0 1 LLsLLsLLsLLsLLsLs Perf. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Aug. Maj. Maj. Perf.
15|1 4 LLsLLsLLsLLsLsLLs Perf. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Perf.
14|2 7 LLsLLsLLsLsLLsLLs Perf. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Min. Maj. Maj. Perf. Maj. Maj. Perf.
13|3 10 LLsLLsLsLLsLLsLLs Perf. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Perf. Maj. Maj. Perf.
12|4 13 LLsLsLLsLLsLLsLLs Perf. Maj. Maj. Perf. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Perf. Maj. Maj. Perf.
11|5 16 LsLLsLLsLLsLLsLLs Perf. Maj. Min. Perf. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Perf. Maj. Maj. Perf.
10|6 2 LsLLsLLsLLsLLsLsL Perf. Maj. Min. Perf. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Perf. Maj. Min. Perf.
9|7 5 LsLLsLLsLLsLsLLsL Perf. Maj. Min. Perf. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Min. Perf. Maj. Min. Perf.
8|8 8 LsLLsLLsLsLLsLLsL Perf. Maj. Min. Perf. Maj. Min. Maj. Maj. Min. Maj. Min. Min. Maj. Min. Perf. Maj. Min. Perf.
7|9 11 LsLLsLsLLsLLsLLsL Perf. Maj. Min. Perf. Maj. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Perf. Maj. Min. Perf.
6|10 14 LsLsLLsLLsLLsLLsL Perf. Maj. Min. Perf. Min. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Perf. Maj. Min. Perf.
5|11 17 sLLsLLsLLsLLsLLsL Perf. Min. Min. Perf. Min. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Perf. Maj. Min. Perf.
4|12 3 sLLsLLsLLsLLsLsLL Perf. Min. Min. Perf. Min. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Perf. Min. Min. Perf.
3|13 6 sLLsLLsLLsLsLLsLL Perf. Min. Min. Perf. Min. Min. Maj. Min. Min. Maj. Min. Min. Min. Min. Perf. Min. Min. Perf.
2|14 9 sLLsLLsLsLLsLLsLL Perf. Min. Min. Perf. Min. Min. Maj. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Perf.
1|15 12 sLLsLsLLsLLsLLsLL Perf. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Perf.
0|16 15 sLsLLsLLsLLsLLsLL Perf. Min. Min. Dim. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 11L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\17 211.765 988.235 1:1 1.000 Equalized 11L 6s
17\96 212.500 987.500 6:5 1.200
14\79 212.658 987.342 5:4 1.250
25\141 212.766 987.234 9:7 1.286
11\62 212.903 987.097 4:3 1.333 Supersoft 11L 6s
30\169 213.018 986.982 11:8 1.375
19\107 213.084 986.916 7:5 1.400
27\152 213.158 986.842 10:7 1.429
8\45 213.333 986.667 3:2 1.500 Soft 11L 6s
29\163 213.497 986.503 11:7 1.571
21\118 213.559 986.441 8:5 1.600
34\191 213.613 986.387 13:8 1.625
13\73 213.699 986.301 5:3 1.667 Semisoft 11L 6s
31\174 213.793 986.207 12:7 1.714
18\101 213.861 986.139 7:4 1.750
23\129 213.953 986.047 9:5 1.800
5\28 214.286 985.714 2:1 2.000 Basic 11L 6s
Scales with tunings softer than this are proper
22\123 214.634 985.366 9:4 2.250
17\95 214.737 985.263 7:3 2.333
29\162 214.815 985.185 12:5 2.400
12\67 214.925 985.075 5:2 2.500 Semihard 11L 6s
31\173 215.029 984.971 13:5 2.600
19\106 215.094 984.906 8:3 2.667
26\145 215.172 984.828 11:4 2.750
7\39 215.385 984.615 3:1 3.000 Hard 11L 6s
23\128 215.625 984.375 10:3 3.333
16\89 215.730 984.270 7:2 3.500
25\139 215.827 984.173 11:3 3.667
9\50 216.000 984.000 4:1 4.000 Superhard 11L 6s
20\111 216.216 983.784 9:2 4.500
11\61 216.393 983.607 5:1 5.000
13\72 216.667 983.333 6:1 6.000
2\11 218.182 981.818 1:0 → ∞ Collapsed 11L 6s
This page is a stub. You can help the Xenharmonic Wiki by expanding it.
Retrieved from "https://en.xen.wiki/index.php?title=11L_6s&oldid=195355"