1L 1s (3/2-equivalent)
| 1L 1s (3/2-equivalent) | 2L 1s⟨3/2⟩→ | |
| ↓1L 2s⟨3/2⟩ | 2L 2s⟨3/2⟩↘ |
┌╥┬┐ │║││ ││││ └┴┴┘
sL
1L 2s⟨3/2⟩
1L 1s<3/2> is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is perfect fifth of 3/2, disambiguating it from octave-repeating 1L 1s.
This MOS scale makes root-3rd-P5 triads with pure perfect fifth (e.g. 4:5:6, 6:7:9, 10:12:15 and 14:18:21).
The chroma-positive generator is between 351 cents (square root of 3/2) and 702 cents (pure 3/2), which makes various major triads such as 4:5:6, 10:13:15 and 14:18:21.
Tuning ranges
Soft tunings (hyposoft, parasoft and ultrasoft) make root-3rd-P5 triads including 4:5:6, 6:7:9, 10:12:15, 10:13:15, 14:17:21, 14:18:21, 16:19:24, 18:22:27 and 18:23:27. The chroma-positive generator is a major third (or hemisixth), and the chroma-negative generator is a minor third (or hemifourth).
Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.
Scale tree
Generator ranges:
- Chroma-positive generator: 350.9775 cents (1\2ed3/2) to 701.9550 cents (1\1ed3/2)
- Chroma-negative generator: 0 cents (0\1ed3/2) to 350.9775 cents (1\2ed3/2)
| Generator | Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\2 | 350.978 | 1 | 1 | 1.000 | ||||||
| 6\11 | 382.885 | 6 | 5 | 1.200 | Carlos Beta | |||||
| 5\9 | 389.975 | 5 | 4 | 1.250 | Carlos Alpha | |||||
| 9\16 | 394.850 | 9 | 7 | 1.286 | ||||||
| 4\7 | 401.117 | 4 | 3 | 1.333 | 12edo-esque triad | |||||
| 11\19 | 406.395 | 11 | 8 | 1.375 | ||||||
| 7\12 | 409.474 | 7 | 5 | 1.400 | ||||||
| 10\17 | 412.915 | 10 | 7 | 1.429 | ||||||
| 3\5 | 421.173 | 3 | 2 | 1.500 | ||||||
| 11\18 | 428.973 | 11 | 7 | 1.571 | ||||||
| 8\13 | 431.972 | 8 | 5 | 1.600 | ||||||
| 13\21 | 434.544 | 13 | 8 | 1.625 | Unnamed golden tuning (433.8320¢) | |||||
| 5\8 | 438.722 | 5 | 3 | 1.667 | ||||||
| 12\19 | 443.340 | 12 | 7 | 1.714 | ||||||
| 7\11 | 446.699 | 7 | 4 | 1.750 | ||||||
| 9\14 | 451.257 | 9 | 5 | 1.800 | ||||||
| 2\3 | 467.970 | 2 | 1 | 2.000 | Gamelan tuning (Basic 1L 1s<3/2>) | |||||
| 9\13 | 485.969 | 9 | 4 | 2.250 | ||||||
| 7\10 | 491.369 | 7 | 3 | 2.333 | ||||||
| 12\17 | 495.498 | 12 | 5 | 2.400 | ||||||
| 5\7 | 501.396 | 5 | 2 | 2.500 | Sus4 chord | |||||
| 13\18 | 506.968 | 13 | 5 | 2.600 | Unnamed golden tuning (507.9394¢) | |||||
| 8\11 | 510.513 | 8 | 3 | 2.667 | ||||||
| 11\15 | 514.767 | 11 | 4 | 2.750 | ||||||
| 3\4 | 526.466 | 3 | 1 | 3.000 | ||||||
| 10\13 | 539.965 | 10 | 3 | 3.333 | ||||||
| 7\9 | 545.965 | 7 | 2 | 3.500 | ||||||
| 11\14 | 551.536 | 11 | 3 | 3.667 | ||||||
| 4\5 | 561.564 | 4 | 1 | 4.000 | ||||||
| 9\11 | 574.327 | 9 | 2 | 4.500 | ||||||
| 5\6 | 584.963 | 5 | 1 | 5.000 | ||||||
| 6\7 | 601.676 | 6 | 1 | 6.000 | ||||||
| 1\1 | 701.955 | 1 | 0 | → inf | ||||||