16L 2s

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16L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 2 small steps, with a period of 8 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. 16L 2s is related to 2L 8s, expanding it by 8 tones. Generators that produce this scale range from 66.7 ¢ to 75 ¢, or from 525 ¢ to 533.3 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

↖ 15L 1s ↑ 16L 1s 17L 1s ↗
← 15L 2s 16L 2s 17L 2s →
↙ 15L 3s ↓ 16L 3s 17L 3s ↘
Scale structure
Step pattern LLLLLLLLsLLLLLLLLs
sLLLLLLLLsLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\18 to 1\16 (66.7 ¢ to 75.0 ¢)
Dark 7\16 to 8\18 (525.0 ¢ to 533.3 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 4:1 to 5:1
Related MOS scales
Parent 2L 14s
Sister 2L 16s
Daughters 18L 16s, 16L 18s
Neutralized 14L 4s
2-Flought 34L 2s, 16L 20s
Equal tunings
Equalized (L:s = 1:1) 1\18 (66.7 ¢)
Supersoft (L:s = 4:3) 4\70 (68.6 ¢)
Soft (L:s = 3:2) 3\52 (69.2 ¢)
Semisoft (L:s = 5:3) 5\86 (69.8 ¢)
Basic (L:s = 2:1) 2\34 (70.6 ¢)
Semihard (L:s = 5:2) 5\84 (71.4 ¢)
Hard (L:s = 3:1) 3\50 (72.0 ¢)
Superhard (L:s = 4:1) 4\66 (72.7 ¢)
Collapsed (L:s = 1:0) 1\16 (75.0 ¢)
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Modes

Modes of 16L 2s
UDP Cyclic
order
Step
pattern
16|0(2) 1 LLLLLLLLsLLLLLLLLs
14|2(2) 2 LLLLLLLsLLLLLLLLsL
12|4(2) 3 LLLLLLsLLLLLLLLsLL
10|6(2) 4 LLLLLsLLLLLLLLsLLL
8|8(2) 5 LLLLsLLLLLLLLsLLLL
6|10(2) 6 LLLsLLLLLLLLsLLLLL
4|12(2) 7 LLsLLLLLLLLsLLLLLL
2|14(2) 8 LsLLLLLLLLsLLLLLLL
0|16(2) 9 sLLLLLLLLsLLLLLLLL

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 16L 2s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\18 66.667 533.333 1:1 1.000 Equalized 16L 2s
6\106 67.925 532.075 6:5 1.200
5\88 68.182 531.818 5:4 1.250
9\158 68.354 531.646 9:7 1.286
4\70 68.571 531.429 4:3 1.333 Supersoft 16L 2s
11\192 68.750 531.250 11:8 1.375
7\122 68.852 531.148 7:5 1.400
10\174 68.966 531.034 10:7 1.429
3\52 69.231 530.769 3:2 1.500 Soft 16L 2s
11\190 69.474 530.526 11:7 1.571
8\138 69.565 530.435 8:5 1.600
13\224 69.643 530.357 13:8 1.625
5\86 69.767 530.233 5:3 1.667 Semisoft 16L 2s
12\206 69.903 530.097 12:7 1.714
7\120 70.000 530.000 7:4 1.750
9\154 70.130 529.870 9:5 1.800
2\34 70.588 529.412 2:1 2.000 Basic 16L 2s
9\152 71.053 528.947 9:4 2.250
7\118 71.186 528.814 7:3 2.333
12\202 71.287 528.713 12:5 2.400
5\84 71.429 528.571 5:2 2.500 Semihard 16L 2s
13\218 71.560 528.440 13:5 2.600
8\134 71.642 528.358 8:3 2.667
11\184 71.739 528.261 11:4 2.750
3\50 72.000 528.000 3:1 3.000 Hard 16L 2s
10\166 72.289 527.711 10:3 3.333
7\116 72.414 527.586 7:2 3.500
11\182 72.527 527.473 11:3 3.667
4\66 72.727 527.273 4:1 4.000 Superhard 16L 2s
9\148 72.973 527.027 9:2 4.500
5\82 73.171 526.829 5:1 5.000
6\98 73.469 526.531 6:1 6.000
1\16 75.000 525.000 1:0 → ∞ Collapsed 16L 2s