3L 1s: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
m Removed redundant "basic 3L 1s" comment |
||
| Line 11: | Line 11: | ||
* Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3) | * Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3) | ||
* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4) | * Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4) | ||
{{Scale tree|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:[[Sixix]] | {{Scale tree|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:[[Sixix]];9/4:[[Mohaha]]/[[mohajira]];12/5:[[Hemif]]/[[hemififths]];13/5;Golden suhajira (354.823 cents);11/4:[[Beatles]];9/2:[[Sephiroth]];6/1:[[Magic]]↓}} | ||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:4-tone scales]] | [[Category:4-tone scales]] | ||
Revision as of 17:28, 11 October 2023
| ← 2L 1s | 3L 1s | 4L 1s → |
| ↙ 2L 2s | ↓ 3L 2s | 4L 2s ↘ |
Scale structure
sLLL
Generator size
Related MOS scales
Equal tunings
3L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 300 ¢ to 400 ¢, or from 800 ¢ to 900 ¢. Scales of this form are always proper because there is only one small step.
Modes
- 3|0 LLLs
- 2|1 LLsL
- 1|2 LsLL
- 0|3 sLLL
Scale tree
Generator ranges:
- Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
- Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)
|
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
}}
|
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\4 | 300.000 | 900.000 | 1:1 | 1.000 | Equalized 3L 1s | |||||
| 6\23 | 313.043 | 886.957 | 6:5 | 1.200 | ||||||
| 5\19 | 315.789 | 884.211 | 5:4 | 1.250 | ||||||
| 9\34 | 317.647 | 882.353 | 9:7 | 1.286 | ||||||
| 4\15 | 320.000 | 880.000 | 4:3 | 1.333 | Supersoft 3L 1s | |||||
| 11\41 | 321.951 | 878.049 | 11:8 | 1.375 | ||||||
| 7\26 | 323.077 | 876.923 | 7:5 | 1.400 | ||||||
| 10\37 | 324.324 | 875.676 | 10:7 | 1.429 | ||||||
| 3\11 | 327.273 | 872.727 | 3:2 | 1.500 | Soft 3L 1s | |||||
| 11\40 | 330.000 | 870.000 | 11:7 | 1.571 | ||||||
| 8\29 | 331.034 | 868.966 | 8:5 | 1.600 | ||||||
| 13\47 | 331.915 | 868.085 | 13:8 | 1.625 | ||||||
| 5\18 | 333.333 | 866.667 | 5:3 | 1.667 | Semisoft 3L 1s | |||||
| 12\43 | 334.884 | 865.116 | 12:7 | 1.714 | ||||||
| 7\25 | 336.000 | 864.000 | 7:4 | 1.750 | ||||||
| 9\32 | 337.500 | 862.500 | 9:5 | 1.800 | ||||||
| 2\7 | 342.857 | 857.143 | 2:1 | 2.000 | Basic 3L 1s | |||||
| 9\31 | 348.387 | 851.613 | 9:4 | 2.250 | ||||||
| 7\24 | 350.000 | 850.000 | 7:3 | 2.333 | ||||||
| 12\41 | 351.220 | 848.780 | 12:5 | 2.400 | ||||||
| 5\17 | 352.941 | 847.059 | 5:2 | 2.500 | Semihard 3L 1s | |||||
| 13\44 | 354.545 | 845.455 | 13:5 | 2.600 | ||||||
| 8\27 | 355.556 | 844.444 | 8:3 | 2.667 | ||||||
| 11\37 | 356.757 | 843.243 | 11:4 | 2.750 | ||||||
| 3\10 | 360.000 | 840.000 | 3:1 | 3.000 | Hard 3L 1s | |||||
| 10\33 | 363.636 | 836.364 | 10:3 | 3.333 | ||||||
| 7\23 | 365.217 | 834.783 | 7:2 | 3.500 | ||||||
| 11\36 | 366.667 | 833.333 | 11:3 | 3.667 | ||||||
| 4\13 | 369.231 | 830.769 | 4:1 | 4.000 | Superhard 3L 1s | |||||
| 9\29 | 372.414 | 827.586 | 9:2 | 4.500 | ||||||
| 5\16 | 375.000 | 825.000 | 5:1 | 5.000 | ||||||
| 6\19 | 378.947 | 821.053 | 6:1 | 6.000 | ||||||
| 1\3 | 400.000 | 800.000 | 1:0 | → ∞ | Collapsed 3L 1s | |||||