2L 18s

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↖ 1L 17s ↑ 2L 17s 3L 17s ↗
← 1L 18s 2L 18s 3L 18s →
↙ 1L 19s ↓ 2L 19s 3L 19s ↘ 
┌╥┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┐
│║│││││││││║││││││││││
││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Related to 2L 8s (jaric)
With tunings 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 ¢)

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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 2L 18s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Perfect 1-mosstep P1ms s 0.0 ¢ to 60.0 ¢
Augmented 1-mosstep A1ms L 60.0 ¢ to 600.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 120.0 ¢
Major 2-mosstep M2ms L + s 120.0 ¢ to 600.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 180.0 ¢
Major 3-mosstep M3ms L + 2s 180.0 ¢ to 600.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 240.0 ¢
Major 4-mosstep M4ms L + 3s 240.0 ¢ to 600.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 300.0 ¢
Major 5-mosstep M5ms L + 4s 300.0 ¢ to 600.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 360.0 ¢
Major 6-mosstep M6ms L + 5s 360.0 ¢ to 600.0 ¢
7-mosstep Minor 7-mosstep m7ms 7s 0.0 ¢ to 420.0 ¢
Major 7-mosstep M7ms L + 6s 420.0 ¢ to 600.0 ¢
8-mosstep Minor 8-mosstep m8ms 8s 0.0 ¢ to 480.0 ¢
Major 8-mosstep M8ms L + 7s 480.0 ¢ to 600.0 ¢
9-mosstep Diminished 9-mosstep d9ms 9s 0.0 ¢ to 540.0 ¢
Perfect 9-mosstep P9ms L + 8s 540.0 ¢ to 600.0 ¢
10-mosstep Perfect 10-mosstep P10ms L + 9s 600.0 ¢
11-mosstep Perfect 11-mosstep P11ms L + 10s 600.0 ¢ to 660.0 ¢
Augmented 11-mosstep A11ms 2L + 9s 660.0 ¢ to 1200.0 ¢
12-mosstep Minor 12-mosstep m12ms L + 11s 600.0 ¢ to 720.0 ¢
Major 12-mosstep M12ms 2L + 10s 720.0 ¢ to 1200.0 ¢
13-mosstep Minor 13-mosstep m13ms L + 12s 600.0 ¢ to 780.0 ¢
Major 13-mosstep M13ms 2L + 11s 780.0 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms L + 13s 600.0 ¢ to 840.0 ¢
Major 14-mosstep M14ms 2L + 12s 840.0 ¢ to 1200.0 ¢
15-mosstep Minor 15-mosstep m15ms L + 14s 600.0 ¢ to 900.0 ¢
Major 15-mosstep M15ms 2L + 13s 900.0 ¢ to 1200.0 ¢
16-mosstep Minor 16-mosstep m16ms L + 15s 600.0 ¢ to 960.0 ¢
Major 16-mosstep M16ms 2L + 14s 960.0 ¢ to 1200.0 ¢
17-mosstep Minor 17-mosstep m17ms L + 16s 600.0 ¢ to 1020.0 ¢
Major 17-mosstep M17ms 2L + 15s 1020.0 ¢ to 1200.0 ¢
18-mosstep Minor 18-mosstep m18ms L + 17s 600.0 ¢ to 1080.0 ¢
Major 18-mosstep M18ms 2L + 16s 1080.0 ¢ to 1200.0 ¢
19-mosstep Diminished 19-mosstep d19ms L + 18s 600.0 ¢ to 1140.0 ¢
Perfect 19-mosstep P19ms 2L + 17s 1140.0 ¢ to 1200.0 ¢
20-mosstep Perfect 20-mosstep P20ms 2L + 18s 1200.0 ¢

Generator chain

Generator chain of 2L 18s
Bright gens Scale degree Abbrev. Scale degree Abbrev.
10 Augmented 0-mosdegree A0md Augmented 10-mosdegree A10md
9 Augmented 1-mosdegree A1md Augmented 11-mosdegree A11md
8 Major 2-mosdegree M2md Major 12-mosdegree M12md
7 Major 3-mosdegree M3md Major 13-mosdegree M13md
6 Major 4-mosdegree M4md Major 14-mosdegree M14md
5 Major 5-mosdegree M5md Major 15-mosdegree M15md
4 Major 6-mosdegree M6md Major 16-mosdegree M16md
3 Major 7-mosdegree M7md Major 17-mosdegree M17md
2 Major 8-mosdegree M8md Major 18-mosdegree M18md
1 Perfect 9-mosdegree P9md Perfect 19-mosdegree P19md
0 Perfect 0-mosdegree
Perfect 10-mosdegree		 P0md
P10md		 Perfect 10-mosdegree
Perfect 20-mosdegree		 P10md
P20md
−1 Perfect 1-mosdegree P1md Perfect 11-mosdegree P11md
−2 Minor 2-mosdegree m2md Minor 12-mosdegree m12md
−3 Minor 3-mosdegree m3md Minor 13-mosdegree m13md
−4 Minor 4-mosdegree m4md Minor 14-mosdegree m14md
−5 Minor 5-mosdegree m5md Minor 15-mosdegree m15md
−6 Minor 6-mosdegree m6md Minor 16-mosdegree m16md
−7 Minor 7-mosdegree m7md Minor 17-mosdegree m17md
−8 Minor 8-mosdegree m8md Minor 18-mosdegree m18md
−9 Diminished 9-mosdegree d9md Diminished 19-mosdegree d19md
−10 Diminished 10-mosdegree d10md Diminished 20-mosdegree d20md

Modes

Scale degrees of the modes of 2L 18s
UDP Cyclic
order 		Step
pattern 		Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
18|0(2) 1 LsssssssssLsssssssss Perf. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
16|2(2) 10 sLsssssssssLssssssss Perf. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
14|4(2) 9 ssLsssssssssLsssssss Perf. Perf. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf. Perf. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
12|6(2) 8 sssLsssssssssLssssss Perf. Perf. Min. Min. Maj. Maj. Maj. Maj. Maj. Perf. Perf. Perf. Min. Min. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
10|8(2) 7 ssssLsssssssssLsssss Perf. Perf. Min. Min. Min. Maj. Maj. Maj. Maj. Perf. Perf. Perf. Min. Min. Min. Maj. Maj. Maj. Maj. Perf. Perf.
8|10(2) 6 sssssLsssssssssLssss Perf. Perf. Min. Min. Min. Min. Maj. Maj. Maj. Perf. Perf. Perf. Min. Min. Min. Min. Maj. Maj. Maj. Perf. Perf.
6|12(2) 5 ssssssLsssssssssLsss Perf. Perf. Min. Min. Min. Min. Min. Maj. Maj. Perf. Perf. Perf. Min. Min. Min. Min. Min. Maj. Maj. Perf. Perf.
4|14(2) 4 sssssssLsssssssssLss Perf. Perf. Min. Min. Min. Min. Min. Min. Maj. Perf. Perf. Perf. Min. Min. Min. Min. Min. Min. Maj. Perf. Perf.
2|16(2) 3 ssssssssLsssssssssLs Perf. Perf. Min. Min. Min. Min. Min. Min. Min. Perf. Perf. Perf. Min. Min. Min. Min. Min. Min. Min. Perf. Perf.
0|18(2) 2 sssssssssLsssssssssL Perf. Perf. Min. Min. Min. Min. Min. Min. Min. Dim. Perf. Perf. Min. Min. Min. Min. Min. Min. Min. Dim. Perf.

Scale tree

Scale tree and tuning spectrum of 2L 18s
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
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