3L 2s: Difference between revisions
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→Names: link related scale |
Intro with main and alias lemma in bold. I wouldn't say that 3L 2s is really a name |
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The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[Sensipent_family|sensi]], in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper. | '''3L 2s''' or '''antipentic''' is a 5-tone scale. The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[Sensipent_family|sensi]], in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper. | ||
== | == Name == | ||
The TAMNAMS system uses the name | The TAMNAMS system uses the name antipentic as it uses opposite step sizes to the “classic” pentatonic scale ([[2L 3s]]). | ||
== Modes == | == Modes == | ||
Revision as of 14:26, 12 November 2022
- For the 3/2-equivalent 3L 2s pattern, see 3L 2s (fifth-equivalent).
| ↖ 2L 1s | ↑ 3L 1s | 4L 1s ↗ |
| ← 2L 2s | 3L 2s | 4L 2s → |
| ↙ 2L 3s | ↓ 3L 3s | 4L 3s ↘ |
┌╥╥┬╥┬┐ │║║│║││ │││││││ └┴┴┴┴┴┘
Scale structure
sLsLL
Generator size
Related MOS scales
Equal tunings
3L 2s or antipentic is a 5-tone scale. The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.
Name
The TAMNAMS system uses the name antipentic as it uses opposite step sizes to the “classic” pentatonic scale (2L 3s).
Modes
- 4|0 LLsLs
- 3|1 LsLLs
- 2|2 LsLsL
- 1|3 sLLsL
- 0|4 sLsLL
Scale tree
Generator ranges:
- Chroma-positive generator: 720 cents (3\5) to 800 cents (2\3)
- Chroma-negative generator: 400 cents (1\3) to 480 cents (2\5)
| Generator | Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 3\5 | 720.000 | 1 | 1 | 1.000 | ||||||
| 17\28 | 728.571 | 6 | 5 | 1.200 | ||||||
| 14\23 | 730.435 | 5 | 4 | 1.250 | ||||||
| 25\41 | 731.707 | 9 | 7 | 1.286 | ||||||
| 11\18 | 733.333 | 4 | 3 | 1.333 | ||||||
| 30\49 | 734.694 | 11 | 8 | 1.375 | Semisept | |||||
| 19\31 | 735.484 | 7 | 5 | 1.400 | ||||||
| 27\44 | 736.364 | 10 | 7 | 1.429 | ||||||
| 8\13 | 738.462 | 3 | 2 | 1.500 | ||||||
| 29\47 | 740.426 | 11 | 7 | 1.571 | ||||||
| 21\34 | 741.176 | 8 | 5 | 1.600 | ||||||
| 34\55 | 741.818 | 13 | 8 | 1.625 | Golden father/petritri/aurora (741.6408¢) | |||||
| 13\21 | 742.857 | 5 | 3 | 1.667 | ||||||
| 31\50 | 744.000 | 12 | 7 | 1.714 | ||||||
| 18\29 | 744.828 | 7 | 4 | 1.750 | ||||||
| 23\37 | 745.946 | 9 | 5 | 1.800 | ||||||
| 5\8 | 750.000 | 2 | 1 | 2.000 | Basic antipentic (Generators smaller than this are proper) | |||||
| 22\35 | 754.286 | 9 | 4 | 2.250 | ||||||
| 17\27 | 755.556 | 7 | 3 | 2.333 | ||||||
| 29\46 | 756.522 | 12 | 5 | 2.400 | Sensi | |||||
| 12\19 | 757.895 | 5 | 2 | 2.500 | ||||||
| 31\49 | 759.184 | 13 | 5 | 2.600 | Golden sentry (759.4078¢) | |||||
| 19\30 | 760.000 | 8 | 3 | 2.667 | ||||||
| 26\41 | 760.976 | 11 | 4 | 2.750 | ||||||
| 7\11 | 763.636 | 3 | 1 | 3.000 | ||||||
| 23\36 | 766.667 | 10 | 3 | 3.333 | ||||||
| 16\25 | 768.000 | 7 | 2 | 3.500 | ||||||
| 25\39 | 769.231 | 11 | 3 | 3.667 | ||||||
| 9\14 | 771.429 | 4 | 1 | 4.000 | ||||||
| 20\31 | 774.194 | 9 | 2 | 4.500 | Squares/skwares | |||||
| 11\17 | 776.471 | 5 | 1 | 5.000 | ||||||
| 13\20 | 780.000 | 6 | 1 | 6.000 | ||||||
| 2\3 | 800.000 | 1 | 0 | → inf | ||||||