3L 2s
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.
| ↖ 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
Names
The TAMNAMS system suggests the name antipentic, in opposition to pentic used for 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 | ||||||