User:Ganaram inukshuk/4L 3s
| ↖ 3L 2s | ↑ 4L 2s | 5L 2s ↗ |
| ← 3L 3s | 4L 3s | 5L 3s → |
| ↙ 3L 4s | ↓ 4L 4s | 5L 4s ↘ |
sLsLsLL
- This is a test page. For the main page, see 4L 3s.
4L 3s, named smitonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 3 small steps, repeating every octave. Generators that produce this scale range from 857.1 ¢ to 900 ¢, or from 300 ¢ to 342.9 ¢.
Name
Description of the mos's name can be found here.
Theory
Anything related to theory, such as RTT-related info, can be found here.
Notation
Unless otherwise stated, diamond-MOS notation is used in this article, applying unaltered note names JKLMNOP to the mode 3|3 (step pattern LsLsLsL). Alterations by a chroma are denoted using the symbols & (pronounced "am" or "amp", which raises or "amplifies" a pitch by a chroma) and @ (pronounced "at", which rhymes with "flat").
The gamuts for 4L 3s in 11edo, 15edo, and 18edo are shown below.
J, J&/K@, K, L, L&/M@, M, N, N&/O@, O, P, P&/J@, J J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J J, J&, K@, K, K&/L@, L, L&, M@, M, M&/N@, N, N&, O@, O, O&/P@, P, P&, J@, J
Tuning ranges
Unless otherwise stated, TAMNAMS is used in this article to name 4L 3s step ratio sizes and ranges, and intervals and scale degrees. Intervals and scale degrees are indexed starting at 0 (0-smistep, 1-smistep, etc). 1-indexed terms (smi-1st, smi-2nd, etc) are discouraged for non-diatonic MOS scales.
Interval/degree tables for various tunings are then shown here, starting with the simple tunings of 2:1, 3:1, and 3:2, and extending to semi/supersoft and semi/superhard. These are separated into their own subsections.
Modes
A description of the mos's modes and mode names, if any, are written here. Also included are the interval qualities of each mode.
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 6|0 | 1 | LLsLsLs |
| 5|1 | 6 | LsLLsLs |
| 4|2 | 4 | LsLsLLs |
| 3|3 | 2 | LsLsLsL |
| 2|4 | 7 | sLLsLsL |
| 1|5 | 5 | sLsLLsL |
| 0|6 | 3 | sLsLsLL |
Related scales
Related scales mainly refers to its parent and child/daughter scales, but may also include modmosses.
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
}}
|
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\7 | 857.143 | 342.857 | 1:1 | 1.000 | Equalized 4L 3s | |||||
| 28\39 | 861.538 | 338.462 | 6:5 | 1.200 | ||||||
| 23\32 | 862.500 | 337.500 | 5:4 | 1.250 | ||||||
| 41\57 | 863.158 | 336.842 | 9:7 | 1.286 | ||||||
| 18\25 | 864.000 | 336.000 | 4:3 | 1.333 | Supersoft 4L 3s | |||||
| 49\68 | 864.706 | 335.294 | 11:8 | 1.375 | ||||||
| 31\43 | 865.116 | 334.884 | 7:5 | 1.400 | ||||||
| 44\61 | 865.574 | 334.426 | 10:7 | 1.429 | ||||||
| 13\18 | 866.667 | 333.333 | 3:2 | 1.500 | Soft 4L 3s | |||||
| 47\65 | 867.692 | 332.308 | 11:7 | 1.571 | ||||||
| 34\47 | 868.085 | 331.915 | 8:5 | 1.600 | ||||||
| 55\76 | 868.421 | 331.579 | 13:8 | 1.625 | ||||||
| 21\29 | 868.966 | 331.034 | 5:3 | 1.667 | Semisoft 4L 3s | |||||
| 50\69 | 869.565 | 330.435 | 12:7 | 1.714 | ||||||
| 29\40 | 870.000 | 330.000 | 7:4 | 1.750 | ||||||
| 37\51 | 870.588 | 329.412 | 9:5 | 1.800 | ||||||
| 8\11 | 872.727 | 327.273 | 2:1 | 2.000 | Basic 4L 3s Scales with tunings softer than this are proper | |||||
| 35\48 | 875.000 | 325.000 | 9:4 | 2.250 | ||||||
| 27\37 | 875.676 | 324.324 | 7:3 | 2.333 | ||||||
| 46\63 | 876.190 | 323.810 | 12:5 | 2.400 | ||||||
| 19\26 | 876.923 | 323.077 | 5:2 | 2.500 | Semihard 4L 3s | |||||
| 49\67 | 877.612 | 322.388 | 13:5 | 2.600 | ||||||
| 30\41 | 878.049 | 321.951 | 8:3 | 2.667 | ||||||
| 41\56 | 878.571 | 321.429 | 11:4 | 2.750 | ||||||
| 11\15 | 880.000 | 320.000 | 3:1 | 3.000 | Hard 4L 3s | |||||
| 36\49 | 881.633 | 318.367 | 10:3 | 3.333 | ||||||
| 25\34 | 882.353 | 317.647 | 7:2 | 3.500 | ||||||
| 39\53 | 883.019 | 316.981 | 11:3 | 3.667 | ||||||
| 14\19 | 884.211 | 315.789 | 4:1 | 4.000 | Superhard 4L 3s | |||||
| 31\42 | 885.714 | 314.286 | 9:2 | 4.500 | ||||||
| 17\23 | 886.957 | 313.043 | 5:1 | 5.000 | ||||||
| 20\27 | 888.889 | 311.111 | 6:1 | 6.000 | ||||||
| 3\4 | 900.000 | 300.000 | 1:0 | → ∞ | Collapsed 4L 3s | |||||
Music
Links to music that uses this mos are added here.
External links
Any links to outside material are linked here.