3L 1s: Difference between revisions
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m Copying from Category:Abstract MOS patterns to Category:4-tone scales using Cat-a-lot |
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[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:4-tone scales]] | |||
Revision as of 16:09, 6 January 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 the MOS pattern LLLs, with generators ranging from 1\4 (one step of 4edo = 300¢) to 1\3 (one step of 3edo = 400¢).
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)
| Generator | Cents | Remainder | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1\4 | 300.000 | 300.000 | 1 | 1 | 1.000 | ||||||
| 6\23 | 313.043 | 260.870 | 6 | 5 | 1.200 | ||||||
| 5\19 | 315.789 | 252.632 | 5 | 4 | 1.250 | ||||||
| 9\34 | 317.647 | 247.059 | 9 | 7 | 1.286 | Hanson/keemun | |||||
| 4\15 | 320.000 | 240.000 | 4 | 3 | 1.333 | ||||||
| 11\41 | 321.951 | 234.146 | 11 | 8 | 1.375 | Superkleismic | |||||
| 7\26 | 323.077 | 230.769 | 7 | 5 | 1.400 | ||||||
| 10\37 | 324.324 | 227.027 | 10 | 7 | 1.429 | Hyperkleismic | |||||
| 3\11 | 327.273 | 218.182 | 3 | 2 | 1.500 | ||||||
| 11\40 | 330.000 | 210.000 | 11 | 7 | 1.571 | ||||||
| 8\29 | 331.034 | 206.897 | 8 | 5 | 1.600 | ||||||
| 13\47 | 331.915 | 204.255 | 13 | 8 | 1.625 | Golden dicot (331.6718¢) | |||||
| 5\18 | 333.333 | 200.000 | 5 | 3 | 1.667 | ||||||
| 12\43 | 334.884 | 195.348 | 12 | 7 | 1.714 | ||||||
| 7\25 | 336.000 | 192.000 | 7 | 4 | 1.750 | ||||||
| 9\32 | 337.500 | 187.500 | 9 | 5 | 1.800 | Sixix | |||||
| 2\7 | 342.857 | 171.429 | 2 | 1 | 2.000 | Basic 3L 1s | |||||
| 9\31 | 348.387 | 154.839 | 9 | 4 | 2.250 | Mohaha/mohajira | |||||
| 7\24 | 350.000 | 150.000 | 7 | 3 | 2.333 | ||||||
| 12\41 | 351.220 | 146.341 | 12 | 5 | 2.400 | Hemif/hemififths | |||||
| 5\17 | 352.941 | 141.176 | 5 | 2 | 2.500 | ||||||
| 13\44 | 354.545 | 136.364 | 13 | 5 | 2.600 | Golden suhajira (354.8232¢) | |||||
| 8\27 | 355.556 | 133.333 | 8 | 3 | 2.667 | ||||||
| 11\37 | 356.757 | 129.730 | 11 | 4 | 2.750 | Beatles | |||||
| 3\10 | 360.000 | 120.000 | 3 | 1 | 3.000 | ||||||
| 10\33 | 363.636 | 109.091 | 10 | 3 | 3.333 | ||||||
| 7\23 | 365.217 | 104.348 | 7 | 2 | 3.500 | ||||||
| 11\36 | 366.667 | 100.000 | 11 | 3 | 3.667 | ||||||
| 4\13 | 369.231 | 92.308 | 4 | 1 | 4.000 | ||||||
| 9\29 | 372.414 | 82.759 | 9 | 2 | 4.500 | Sephiroth | |||||
| 5\16 | 375.000 | 75.000 | 5 | 1 | 5.000 | ||||||
| 6\19 | 378.947 | 63.159 | 6 | 1 | 6.000 | Magic↓ | |||||
| 1\3 | 400.000 | 0.000 | 1 | 0 | → inf | ||||||