2L 20s
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Scale structure
Step pattern
LssssssssssLssssssssss
ssssssssssLssssssssssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
10\22 to 1\2 (545.5¢ to 600.0¢)
Dark
0\2 to 1\22 (0.0¢ to 54.5¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Related MOS scales
Parent
2L 18s
Sister
20L 2s
Daughters
22L 2s
2L 22s
Equal tunings
Equalized (L:s = 1:1)
10\22 (545.5¢)
Supersoft (L:s = 4:3)
31\68 (547.1¢)
Soft (L:s = 3:2)
21\46 (547.8¢)
Semisoft (L:s = 5:3)
32\70 (548.6¢)
Basic (L:s = 2:1)
11\24 (550.0¢)
Semihard (L:s = 5:2)
23\50 (552.0¢)
Hard (L:s = 3:1)
12\26 (553.8¢)
Superhard (L:s = 4:1)
13\28 (557.1¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖1L 19s | ↑2L 19s | 3L 19s↗ |
| ←1L 20s | 2L 20s | 3L 20s→ |
| ↙1L 21s | ↓2L 21s | 3L 21s↘ |
┌╥┬┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││║│││││││││││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssssLssssssssssL
2L 22s
2L 20s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 20 small steps, with a period of 1 large step and 10 small steps that repeats every 600.0¢, or twice every octave. 2L 20s is related to 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 545.5¢ to 600¢, or from 0¢ to 54.5¢.
This scale is the quarter tone scale of Shrutar temperament.
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 10\22 | 545.455 | 54.545 | 1:1 | 1.000 | Equalized 2L 20s | |||||
| 51\112 | 546.429 | 53.571 | 6:5 | 1.200 | ||||||
| 41\90 | 546.667 | 53.333 | 5:4 | 1.250 | ||||||
| 72\158 | 546.835 | 53.165 | 9:7 | 1.286 | ||||||
| 31\68 | 547.059 | 52.941 | 4:3 | 1.333 | Supersoft 2L 20s | |||||
| 83\182 | 547.253 | 52.747 | 11:8 | 1.375 | ||||||
| 52\114 | 547.368 | 52.632 | 7:5 | 1.400 | ||||||
| 73\160 | 547.500 | 52.500 | 10:7 | 1.429 | ||||||
| 21\46 | 547.826 | 52.174 | 3:2 | 1.500 | Soft 2L 20s | |||||
| 74\162 | 548.148 | 51.852 | 11:7 | 1.571 | ||||||
| 53\116 | 548.276 | 51.724 | 8:5 | 1.600 | ||||||
| 85\186 | 548.387 | 51.613 | 13:8 | 1.625 | ||||||
| 32\70 | 548.571 | 51.429 | 5:3 | 1.667 | Semisoft 2L 20s | |||||
| 75\164 | 548.780 | 51.220 | 12:7 | 1.714 | ||||||
| 43\94 | 548.936 | 51.064 | 7:4 | 1.750 | ||||||
| 54\118 | 549.153 | 50.847 | 9:5 | 1.800 | ||||||
| 11\24 | 550.000 | 50.000 | 2:1 | 2.000 | Basic 2L 20s Scales with tunings softer than this are proper | |||||
| 45\98 | 551.020 | 48.980 | 9:4 | 2.250 | ||||||
| 34\74 | 551.351 | 48.649 | 7:3 | 2.333 | ||||||
| 57\124 | 551.613 | 48.387 | 12:5 | 2.400 | ||||||
| 23\50 | 552.000 | 48.000 | 5:2 | 2.500 | Semihard 2L 20s | |||||
| 58\126 | 552.381 | 47.619 | 13:5 | 2.600 | ||||||
| 35\76 | 552.632 | 47.368 | 8:3 | 2.667 | ||||||
| 47\102 | 552.941 | 47.059 | 11:4 | 2.750 | ||||||
| 12\26 | 553.846 | 46.154 | 3:1 | 3.000 | Hard 2L 20s | |||||
| 37\80 | 555.000 | 45.000 | 10:3 | 3.333 | ||||||
| 25\54 | 555.556 | 44.444 | 7:2 | 3.500 | ||||||
| 38\82 | 556.098 | 43.902 | 11:3 | 3.667 | ||||||
| 13\28 | 557.143 | 42.857 | 4:1 | 4.000 | Superhard 2L 20s | |||||
| 27\58 | 558.621 | 41.379 | 9:2 | 4.500 | ||||||
| 14\30 | 560.000 | 40.000 | 5:1 | 5.000 | ||||||
| 15\32 | 562.500 | 37.500 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 0.000 | 1:0 | → ∞ | Collapsed 2L 20s | |||||