6L 3s: Difference between revisions
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'''6L 3s''' is a MOS pattern with period 1\3. | '''6L 3s''' is a MOS pattern with period 1\3. | ||
The tiny region between 26\171 and 281\1848 is the ''terrain'' region, giving the [[terrain9|abitonic scale]] for the remarkable terrain temperament [[chromatic pair]]. If you feel that is too small a region to allocate or prefer EDOs of a more usual size, you can call it the region between 5 | The tiny region between 26\171 and 281\1848 is the ''terrain'' region, giving the [[terrain9|abitonic scale]] for the remarkable terrain temperament [[chromatic pair]]. If you feel that is too small a region to allocate or prefer EDOs of a more usual size, you can call it the region between 5\33 and 6\39, but that misses the extreme accuracy of this temperament. | ||
For a more down-to-earth temperament, try [[triforce]]. | For a more down-to-earth temperament, try [[triforce]]. | ||
== Modes == | == Modes == | ||
* 6|0 LLsLLsLLs | * 6|0(3) LLsLLsLLs | ||
* 3|3 LsLLsLLsL | * 3|3(3) LsLLsLLsL | ||
* 0|6 sLLsLLsLL | * 0|6(3) sLLsLLsLL | ||
== Scales == | == Scales == | ||
Revision as of 11:59, 18 May 2022
| ↖ 5L 2s | ↑ 6L 2s | 7L 2s ↗ |
| ← 5L 3s | 6L 3s | 7L 3s → |
| ↙ 5L 4s | ↓ 6L 4s | 7L 4s ↘ |
Scale structure
sLLsLLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
6L 3s is a MOS pattern with period 1\3.
The tiny region between 26\171 and 281\1848 is the terrain region, giving the abitonic scale for the remarkable terrain temperament chromatic pair. If you feel that is too small a region to allocate or prefer EDOs of a more usual size, you can call it the region between 5\33 and 6\39, but that misses the extreme accuracy of this temperament.
For a more down-to-earth temperament, try triforce.
Modes
- 6|0(3) LLsLLsLLs
- 3|3(3) LsLLsLLsL
- 0|6(3) sLLsLLsLL
Scales
Scale tree
Generator ranges:
- Chroma-positive generator: 133.3333 cents (1\9) to 200 cents (1\6)
- Chroma-negative generator: 200 cents (1\6) to 266.6667 cents (2\9)
| Generator | Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\9 | 133.333 | 1 | 1 | 1.000 | ||||||
| 6\51 | 141.176 | 6 | 5 | 1.200 | ||||||
| 5\42 | 142.857 | 5 | 4 | 1.250 | ||||||
| 9\75 | 144.000 | 9 | 7 | 1.286 | ||||||
| 4\33 | 145.455 | 4 | 3 | 1.333 | ||||||
| 11\90 | 146.667 | 11 | 8 | 1.375 | ||||||
| 7\57 | 147.368 | 7 | 5 | 1.400 | ||||||
| 10\81 | 148.148 | 10 | 7 | 1.429 | ||||||
| 3\24 | 150.000 | 3 | 2 | 1.500 | ||||||
| 11\87 | 151.724 | 11 | 7 | 1.571 | Hemimist | |||||
| 8\63 | 152.381 | 8 | 5 | 1.600 | ||||||
| 13\102 | 152.911 | 13 | 8 | 1.625 | Golden triforce (152.7864¢) | |||||
| 5\39 | 153.846 | 5 | 3 | 1.667 | ||||||
| 12\93 | 154.839 | 12 | 7 | 1.714 | ||||||
| 7\54 | 155.556 | 7 | 4 | 1.750 | ||||||
| 9\69 | 156.522 | 9 | 5 | 1.800 | ||||||
| 2\15 | 160.000 | 2 | 1 | 2.000 | Basic hyrulic | |||||
| 9\66 | 163.636 | 9 | 4 | 2.250 | ||||||
| 7\51 | 164.706 | 7 | 3 | 2.333 | ||||||
| 12\87 | 165.517 | 12 | 5 | 2.400 | ||||||
| 5\36 | 166.667 | 5 | 2 | 2.500 | ||||||
| 13\93 | 167.742 | 13 | 5 | 2.600 | Unnamed golden tuning (167.9285¢) | |||||
| 8\57 | 168.421 | 8 | 3 | 2.667 | ||||||
| 11\78 | 169.231 | 11 | 4 | 2.750 | ||||||
| 3\21 | 171.439 | 3 | 1 | 3.000 | ||||||
| 10\69 | 173.913 | 10 | 3 | 3.333 | ||||||
| 7\48 | 175.000 | 7 | 2 | 3.500 | ||||||
| 11\75 | 176.000 | 11 | 3 | 3.667 | Oodako | |||||
| 4\27 | 177.778 | 4 | 1 | 4.000 | ||||||
| 9\60 | 180.000 | 9 | 2 | 4.500 | ||||||
| 5\33 | 181.818 | 5 | 1 | 5.000 | ||||||
| 6\39 | 184.615 | 6 | 1 | 6.000 | Mirkat | |||||
| 1\6 | 200.000 | 1 | 0 | → inf | ||||||