User:Moremajorthanmajor/5L 1s (11/6-equivalent)
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Scale structure
Step pattern
LLLLLs
sLLLLL
Equave
11/6 (1049.4¢)
Period
11/6 (1049.4¢)
Generator size(ed11/6)
Bright
1\6 to 1\5 (174.9¢ to 209.9¢)
Dark
4\5 to 5\6 (839.5¢ to 874.5¢)
Related MOS scales
Parent
1L 4s⟨11/6⟩
Sister
1L 5s⟨11/6⟩
Daughters
6L 5s⟨11/6⟩, 5L 6s⟨11/6⟩
Neutralized
4L 2s⟨11/6⟩
2-Flought
11L 1s⟨11/6⟩, 5L 7s⟨11/6⟩
Equal tunings(ed11/6)
Equalized (L:s = 1:1)
1\6 (174.9¢)
Supersoft (L:s = 4:3)
4\23 (182.5¢)
Soft (L:s = 3:2)
3\17 (185.2¢)
Semisoft (L:s = 5:3)
5\28 (187.4¢)
Basic (L:s = 2:1)
2\11 (190.8¢)
Semihard (L:s = 5:2)
5\27 (194.3¢)
Hard (L:s = 3:1)
3\16 (196.8¢)
Superhard (L:s = 4:1)
4\21 (199.9¢)
Collapsed (L:s = 1:0)
1\5 (209.9¢)
← 4L 1s⟨11/6⟩ | 5L 1s<11/6> | 6L 1s⟨11/6⟩ → |
↙ 4L 2s⟨11/6⟩ | ↓ 5L 2s⟨11/6⟩ | 6L 2s⟨11/6⟩ ↘ |
┌╥╥╥╥╥┬┐ │║║║║║││ ││││││││ └┴┴┴┴┴┴┘
sLLLLL
5L 1s⟨11/6⟩ is a 11/6-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 1 small step, repeating every interval of 11/6 (1049.4¢). Generators that produce this scale range from 174.9¢ to 209.9¢, or from 839.5¢ to 874.5¢. Scales of this form are always proper because there is only one small step. It is the rare simplest tuning of the greater whole tone scale with a major seventh.
The only notable low-harmonic-entropy scale with this MOS pattern is tetracot, in which the large step is 10/9 and four of them make a 3/2 since the seventh (septave) 11/6 is 1049.323¢.
Scales with this pattern are always proper, because there is only one small step.
Scale tree
Generator(ed11/6) | Cents | Step ratio | Comments(always proper) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
1\6 | 174.894 | 874.469 | 1:1 | 1.000 | Equalized 5L 1s⟨11/6⟩ | |||||
6\35 | 179.891 | 869.472 | 6:5 | 1.200 | ||||||
5\29 | 180.925 | 868.438 | 5:4 | 1.250 | ||||||
9\52 | 181.621 | 867.742 | 9:7 | 1.286 | ||||||
4\23 | 182.498 | 866.865 | 4:3 | 1.333 | Supersoft 5L 1s⟨11/6⟩ | |||||
11\63 | 183.222 | 866.141 | 11:8 | 1.375 | ||||||
7\40 | 183.639 | 865.724 | 7:5 | 1.400 | ||||||
10\57 | 184.099 | 865.264 | 10:7 | 1.429 | ||||||
3\17 | 185.182 | 864.181 | 3:2 | 1.500 | Soft 5L 1s⟨11/6⟩ | |||||
11\62 | 186.177 | 863.186 | 11:7 | 1.571 | ||||||
8\45 | 186.553 | 862.810 | 8:5 | 1.600 | ||||||
13\73 | 186.873 | 862.490 | 13:8 | 1.625 | ||||||
5\28 | 187.386 | 861.977 | 5:3 | 1.667 | Semisoft 5L 1s⟨11/6⟩ | |||||
12\67 | 187.946 | 861.417 | 12:7 | 1.714 | ||||||
7\39 | 188.347 | 861.016 | 7:4 | 1.750 | ||||||
9\50 | 188.885 | 860.478 | 9:5 | 1.800 | ||||||
2\11 | 190.793 | 858.570 | 2:1 | 2.000 | Basic 5L 1s⟨11/6⟩ | |||||
9\49 | 192.740 | 856.623 | 9:4 | 2.250 | ||||||
7\38 | 193.304 | 856.059 | 7:3 | 2.333 | ||||||
12\65 | 193.729 | 855.634 | 12:5 | 2.400 | ||||||
5\27 | 194.326 | 855.036 | 5:2 | 2.500 | Semihard 5L 1s⟨11/6⟩ | |||||
13\70 | 194.882 | 854.481 | 13:5 | 2.600 | ||||||
8\43 | 195.230 | 854.133 | 8:3 | 2.667 | ||||||
11\59 | 195.644 | 853.719 | 11:4 | 2.750 | ||||||
3\16 | 196.756 | 852.607 | 3:1 | 3.000 | Hard 5L 1s⟨11/6⟩ | |||||
10\53 | 197.993 | 851.370 | 10:3 | 3.333 | ||||||
7\37 | 198.528 | 850.835 | 7:2 | 3.500 | ||||||
11\58 | 199.017 | 850.346 | 11:3 | 3.667 | ||||||
4\21 | 199.879 | 849.484 | 4:1 | 4.000 | Superhard 5L 1s⟨11/6⟩ | |||||
9\47 | 200.942 | 848.421 | 9:2 | 4.500 | ||||||
5\26 | 201.801 | 847.562 | 5:1 | 5.000 | ||||||
6\31 | 203.103 | 846.260 | 6:1 | 6.000 | ||||||
1\5 | 209.873 | 839.490 | 1:0 | → ∞ | Collapsed 5L 1s⟨11/6⟩ |