11L 8s: Difference between revisions

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== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Scale tree==
== Intervals ==
{{MOS intervals}}
== Scale tree ==
{{Scale tree}}
{{Scale tree}}
{{Stub}}
{{Stub}}
[[category:todo:expand]]

Revision as of 00:18, 15 December 2024

↖ 10L 7s ↑ 11L 7s 12L 7s ↗
← 10L 8s 11L 8s 12L 8s →
↙ 10L 9s ↓ 11L 9s 12L 9s ↘
Scale structure
Step pattern LLsLsLLsLsLsLLsLsLs
sLsLsLLsLsLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 12\19 to 7\11 (757.9 ¢ to 763.6 ¢)
Dark 4\11 to 7\19 (436.4 ¢ to 442.1 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 8L 3s
Sister 8L 11s
Daughters 19L 11s, 11L 19s
Neutralized 3L 16s
2-Flought 30L 8s, 11L 27s
Equal tunings
Equalized (L:s = 1:1) 12\19 (757.9 ¢)
Supersoft (L:s = 4:3) 43\68 (758.8 ¢)
Soft (L:s = 3:2) 31\49 (759.2 ¢)
Semisoft (L:s = 5:3) 50\79 (759.5 ¢)
Basic (L:s = 2:1) 19\30 (760.0 ¢)
Semihard (L:s = 5:2) 45\71 (760.6 ¢)
Hard (L:s = 3:1) 26\41 (761.0 ¢)
Superhard (L:s = 4:1) 33\52 (761.5 ¢)
Collapsed (L:s = 1:0) 7\11 (763.6 ¢)
ViewTalkEdit

11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9 ¢ to 763.6 ¢, or from 436.4 ¢ to 442.1 ¢.

Modes

Modes of 11L 8s
UDP Cyclic
order
Step
pattern
18|0 1 LLsLsLLsLsLsLLsLsLs
17|1 13 LLsLsLsLLsLsLLsLsLs
16|2 6 LLsLsLsLLsLsLsLLsLs
15|3 18 LsLLsLsLLsLsLsLLsLs
14|4 11 LsLLsLsLsLLsLsLLsLs
13|5 4 LsLLsLsLsLLsLsLsLLs
12|6 16 LsLsLLsLsLLsLsLsLLs
11|7 9 LsLsLLsLsLsLLsLsLLs
10|8 2 LsLsLLsLsLsLLsLsLsL
9|9 14 LsLsLsLLsLsLLsLsLsL
8|10 7 LsLsLsLLsLsLsLLsLsL
7|11 19 sLLsLsLLsLsLsLLsLsL
6|12 12 sLLsLsLsLLsLsLLsLsL
5|13 5 sLLsLsLsLLsLsLsLLsL
4|14 17 sLsLLsLsLLsLsLsLLsL
3|15 10 sLsLLsLsLsLLsLsLLsL
2|16 3 sLsLLsLsLsLLsLsLsLL
1|17 15 sLsLsLLsLsLLsLsLsLL
0|18 8 sLsLsLLsLsLsLLsLsLL

Intervals

Intervals of 11L 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 63.2 ¢
Major 1-mosstep M1ms L 63.2 ¢ to 109.1 ¢
2-mosstep Minor 2-mosstep m2ms L + s 109.1 ¢ to 126.3 ¢
Major 2-mosstep M2ms 2L 126.3 ¢ to 218.2 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 109.1 ¢ to 189.5 ¢
Major 3-mosstep M3ms 2L + s 189.5 ¢ to 218.2 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 218.2 ¢ to 252.6 ¢
Major 4-mosstep M4ms 3L + s 252.6 ¢ to 327.3 ¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 218.2 ¢ to 315.8 ¢
Major 5-mosstep M5ms 3L + 2s 315.8 ¢ to 327.3 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 327.3 ¢ to 378.9 ¢
Major 6-mosstep M6ms 4L + 2s 378.9 ¢ to 436.4 ¢
7-mosstep Perfect 7-mosstep P7ms 4L + 3s 436.4 ¢ to 442.1 ¢
Augmented 7-mosstep A7ms 5L + 2s 442.1 ¢ to 545.5 ¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 436.4 ¢ to 505.3 ¢
Major 8-mosstep M8ms 5L + 3s 505.3 ¢ to 545.5 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 545.5 ¢ to 568.4 ¢
Major 9-mosstep M9ms 6L + 3s 568.4 ¢ to 654.5 ¢
10-mosstep Minor 10-mosstep m10ms 5L + 5s 545.5 ¢ to 631.6 ¢
Major 10-mosstep M10ms 6L + 4s 631.6 ¢ to 654.5 ¢
11-mosstep Minor 11-mosstep m11ms 6L + 5s 654.5 ¢ to 694.7 ¢
Major 11-mosstep M11ms 7L + 4s 694.7 ¢ to 763.6 ¢
12-mosstep Diminished 12-mosstep d12ms 6L + 6s 654.5 ¢ to 757.9 ¢
Perfect 12-mosstep P12ms 7L + 5s 757.9 ¢ to 763.6 ¢
13-mosstep Minor 13-mosstep m13ms 7L + 6s 763.6 ¢ to 821.1 ¢
Major 13-mosstep M13ms 8L + 5s 821.1 ¢ to 872.7 ¢
14-mosstep Minor 14-mosstep m14ms 8L + 6s 872.7 ¢ to 884.2 ¢
Major 14-mosstep M14ms 9L + 5s 884.2 ¢ to 981.8 ¢
15-mosstep Minor 15-mosstep m15ms 8L + 7s 872.7 ¢ to 947.4 ¢
Major 15-mosstep M15ms 9L + 6s 947.4 ¢ to 981.8 ¢
16-mosstep Minor 16-mosstep m16ms 9L + 7s 981.8 ¢ to 1010.5 ¢
Major 16-mosstep M16ms 10L + 6s 1010.5 ¢ to 1090.9 ¢
17-mosstep Minor 17-mosstep m17ms 9L + 8s 981.8 ¢ to 1073.7 ¢
Major 17-mosstep M17ms 10L + 7s 1073.7 ¢ to 1090.9 ¢
18-mosstep Minor 18-mosstep m18ms 10L + 8s 1090.9 ¢ to 1136.8 ¢
Major 18-mosstep M18ms 11L + 7s 1136.8 ¢ to 1200.0 ¢
19-mosstep Perfect 19-mosstep P19ms 11L + 8s 1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
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 11L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
12\19 757.895 442.105 1:1 1.000 Equalized 11L 8s
67\106 758.491 441.509 6:5 1.200
55\87 758.621 441.379 5:4 1.250
98\155 758.710 441.290 9:7 1.286
43\68 758.824 441.176 4:3 1.333 Supersoft 11L 8s
117\185 758.919 441.081 11:8 1.375
74\117 758.974 441.026 7:5 1.400
105\166 759.036 440.964 10:7 1.429
31\49 759.184 440.816 3:2 1.500 Soft 11L 8s
112\177 759.322 440.678 11:7 1.571
81\128 759.375 440.625 8:5 1.600
131\207 759.420 440.580 13:8 1.625
50\79 759.494 440.506 5:3 1.667 Semisoft 11L 8s
119\188 759.574 440.426 12:7 1.714
69\109 759.633 440.367 7:4 1.750
88\139 759.712 440.288 9:5 1.800
19\30 760.000 440.000 2:1 2.000 Basic 11L 8s
Scales with tunings softer than this are proper
83\131 760.305 439.695 9:4 2.250
64\101 760.396 439.604 7:3 2.333
109\172 760.465 439.535 12:5 2.400
45\71 760.563 439.437 5:2 2.500 Semihard 11L 8s
116\183 760.656 439.344 13:5 2.600
71\112 760.714 439.286 8:3 2.667
97\153 760.784 439.216 11:4 2.750
26\41 760.976 439.024 3:1 3.000 Hard 11L 8s
85\134 761.194 438.806 10:3 3.333
59\93 761.290 438.710 7:2 3.500
92\145 761.379 438.621 11:3 3.667
33\52 761.538 438.462 4:1 4.000 Superhard 11L 8s
73\115 761.739 438.261 9:2 4.500
40\63 761.905 438.095 5:1 5.000
47\74 762.162 437.838 6:1 6.000
7\11 763.636 436.364 1:0 → ∞ Collapsed 11L 8s


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