2L 18s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsssssssssLsssssssss
sssssssssLsssssssssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
9\20 to 1\2 (540.0¢ to 600.0¢)
Dark
0\2 to 1\20 (0.0¢ to 60.0¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Ancestor's step ratio range
6:1 to 1:0
Related MOS scales
Parent
2L 16s
Sister
18L 2s
Daughters
20L 2s, 2L 20s
Neutralized
4L 16s
2-Flought
22L 18s, 2L 38s
Equal tunings
Equalized (L:s = 1:1)
9\20 (540.0¢)
Supersoft (L:s = 4:3)
28\62 (541.9¢)
Soft (L:s = 3:2)
19\42 (542.9¢)
Semisoft (L:s = 5:3)
29\64 (543.8¢)
Basic (L:s = 2:1)
10\22 (545.5¢)
Semihard (L:s = 5:2)
21\46 (547.8¢)
Hard (L:s = 3:1)
11\24 (550.0¢)
Superhard (L:s = 4:1)
12\26 (553.8¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖ 1L 17s | ↑ 2L 17s | 3L 17s ↗ |
| ← 1L 18s | 2L 18s | 3L 18s → |
| ↙ 1L 19s | ↓ 2L 19s | 3L 19s ↘ |
┌╥┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┐ │║│││││││││║││││││││││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssLsssssssssL
2L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 18 small steps, with a period of 1 large step and 9 small steps that repeats every 600.0¢, or twice every octave. 2L 18s is related to 2L 8s, expanding it by 10 tones. Generators that produce this scale range from 540¢ to 600¢, or from 0¢ to 60¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 18|0(2) | 1 | LsssssssssLsssssssss |
| 16|2(2) | 10 | sLsssssssssLssssssss |
| 14|4(2) | 9 | ssLsssssssssLsssssss |
| 12|6(2) | 8 | sssLsssssssssLssssss |
| 10|8(2) | 7 | ssssLsssssssssLsssss |
| 8|10(2) | 6 | sssssLsssssssssLssss |
| 6|12(2) | 5 | ssssssLsssssssssLsss |
| 4|14(2) | 4 | sssssssLsssssssssLss |
| 2|16(2) | 3 | ssssssssLsssssssssLs |
| 0|18(2) | 2 | sssssssssLsssssssssL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 9\20 | 540.000 | 60.000 | 1:1 | 1.000 | Equalized 2L 18s | |||||
| 46\102 | 541.176 | 58.824 | 6:5 | 1.200 | ||||||
| 37\82 | 541.463 | 58.537 | 5:4 | 1.250 | ||||||
| 65\144 | 541.667 | 58.333 | 9:7 | 1.286 | ||||||
| 28\62 | 541.935 | 58.065 | 4:3 | 1.333 | Supersoft 2L 18s | |||||
| 75\166 | 542.169 | 57.831 | 11:8 | 1.375 | ||||||
| 47\104 | 542.308 | 57.692 | 7:5 | 1.400 | ||||||
| 66\146 | 542.466 | 57.534 | 10:7 | 1.429 | ||||||
| 19\42 | 542.857 | 57.143 | 3:2 | 1.500 | Soft 2L 18s | |||||
| 67\148 | 543.243 | 56.757 | 11:7 | 1.571 | ||||||
| 48\106 | 543.396 | 56.604 | 8:5 | 1.600 | ||||||
| 77\170 | 543.529 | 56.471 | 13:8 | 1.625 | ||||||
| 29\64 | 543.750 | 56.250 | 5:3 | 1.667 | Semisoft 2L 18s | |||||
| 68\150 | 544.000 | 56.000 | 12:7 | 1.714 | ||||||
| 39\86 | 544.186 | 55.814 | 7:4 | 1.750 | ||||||
| 49\108 | 544.444 | 55.556 | 9:5 | 1.800 | ||||||
| 10\22 | 545.455 | 54.545 | 2:1 | 2.000 | Basic 2L 18s Scales with tunings softer than this are proper | |||||
| 41\90 | 546.667 | 53.333 | 9:4 | 2.250 | ||||||
| 31\68 | 547.059 | 52.941 | 7:3 | 2.333 | ||||||
| 52\114 | 547.368 | 52.632 | 12:5 | 2.400 | ||||||
| 21\46 | 547.826 | 52.174 | 5:2 | 2.500 | Semihard 2L 18s | |||||
| 53\116 | 548.276 | 51.724 | 13:5 | 2.600 | ||||||
| 32\70 | 548.571 | 51.429 | 8:3 | 2.667 | ||||||
| 43\94 | 548.936 | 51.064 | 11:4 | 2.750 | ||||||
| 11\24 | 550.000 | 50.000 | 3:1 | 3.000 | Hard 2L 18s | |||||
| 34\74 | 551.351 | 48.649 | 10:3 | 3.333 | ||||||
| 23\50 | 552.000 | 48.000 | 7:2 | 3.500 | ||||||
| 35\76 | 552.632 | 47.368 | 11:3 | 3.667 | ||||||
| 12\26 | 553.846 | 46.154 | 4:1 | 4.000 | Superhard 2L 18s | |||||
| 25\54 | 555.556 | 44.444 | 9:2 | 4.500 | ||||||
| 13\28 | 557.143 | 42.857 | 5:1 | 5.000 | ||||||
| 14\30 | 560.000 | 40.000 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 0.000 | 1:0 | → ∞ | Collapsed 2L 18s | |||||