3L 2s
(Redirected from Antipentic)
Jump to navigation
Jump to search
- For the 3/2-equivalent 3L 2s pattern, see 3L 2s (fifth-equivalent).
| Brightest mode | LLsLs | |
| Period | 2/1 | |
| Range for bright generator | 3\5 (720.0¢) to 2\3 (800.0¢) | |
| Range for dark generator | 1\3 (400.0¢) to 2\5 (480.0¢) | |
| Parent MOS | 2L 1s | |
| Daughter MOSes | 5L 3s, 3L 5s | |
| Sister MOS | 2L 3s | |
| TAMNAMS name | antipentic | |
| Equal tunings | ||
| Supersoft (L:s = 4:3) | 11\18 (733.3¢) | |
| Soft (L:s = 3:2) | 8\13 (738.5¢) | |
| Semisoft (L:s = 5:3) | 13\21 (742.9¢) | |
| Basic (L:s = 2:1) | 5\8 (750.0¢) | |
| Semihard (L:s = 5:2) | 12\19 (757.9¢) | |
| Hard (L:s = 3:1) | 7\11 (763.6¢) | |
| Superhard (L:s = 4:1) | 9\14 (771.4¢) | |
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 applies the name antipentic as the scale utilizes 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 | ||||||