2L 14s

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↖ 1L 13s ↑ 2L 13s 3L 13s ↗
← 1L 14s 2L 14s 3L 14s →
↙ 1L 15s ↓ 2L 15s 3L 15s ↘ 
┌╥┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┐
│║│││││││║││││││││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsssssssLsssssss
sssssssLsssssssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 7\16 to 1\2 (525.0 ¢ to 600.0 ¢)
Dark 0\2 to 1\16 (0.0 ¢ to 75.0 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 4:1 to 1:0 (ultrahard)
Related MOS scales
Parent 2L 12s
Sister 14L 2s
Daughters 16L 2s, 2L 16s
Neutralized 4L 12s
2-Flought 18L 14s, 2L 30s
Equal tunings
Equalized (L:s = 1:1) 7\16 (525.0 ¢)
Supersoft (L:s = 4:3) 22\50 (528.0 ¢)
Soft (L:s = 3:2) 15\34 (529.4 ¢)
Semisoft (L:s = 5:3) 23\52 (530.8 ¢)
Basic (L:s = 2:1) 8\18 (533.3 ¢)
Semihard (L:s = 5:2) 17\38 (536.8 ¢)
Hard (L:s = 3:1) 9\20 (540.0 ¢)
Superhard (L:s = 4:1) 10\22 (545.5 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)

2L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 14 small steps, with a period of 1 large step and 7 small steps that repeats every 600.0 ¢, or twice every octave. 2L 14s is a great-grandchild scale of 2L 8s, expanding it by 6 tones. Generators that produce this scale range from 525 ¢ to 600 ¢, or from 0 ¢ to 75 ¢.

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 14s
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 75.0 ¢
Augmented 1-mosstep A1ms L 75.0 ¢ to 600.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 150.0 ¢
Major 2-mosstep M2ms L + s 150.0 ¢ to 600.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 225.0 ¢
Major 3-mosstep M3ms L + 2s 225.0 ¢ to 600.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 300.0 ¢
Major 4-mosstep M4ms L + 3s 300.0 ¢ to 600.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 375.0 ¢
Major 5-mosstep M5ms L + 4s 375.0 ¢ to 600.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 450.0 ¢
Major 6-mosstep M6ms L + 5s 450.0 ¢ to 600.0 ¢
7-mosstep Diminished 7-mosstep d7ms 7s 0.0 ¢ to 525.0 ¢
Perfect 7-mosstep P7ms L + 6s 525.0 ¢ to 600.0 ¢
8-mosstep Perfect 8-mosstep P8ms L + 7s 600.0 ¢
9-mosstep Perfect 9-mosstep P9ms L + 8s 600.0 ¢ to 675.0 ¢
Augmented 9-mosstep A9ms 2L + 7s 675.0 ¢ to 1200.0 ¢
10-mosstep Minor 10-mosstep m10ms L + 9s 600.0 ¢ to 750.0 ¢
Major 10-mosstep M10ms 2L + 8s 750.0 ¢ to 1200.0 ¢
11-mosstep Minor 11-mosstep m11ms L + 10s 600.0 ¢ to 825.0 ¢
Major 11-mosstep M11ms 2L + 9s 825.0 ¢ to 1200.0 ¢
12-mosstep Minor 12-mosstep m12ms L + 11s 600.0 ¢ to 900.0 ¢
Major 12-mosstep M12ms 2L + 10s 900.0 ¢ to 1200.0 ¢
13-mosstep Minor 13-mosstep m13ms L + 12s 600.0 ¢ to 975.0 ¢
Major 13-mosstep M13ms 2L + 11s 975.0 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms L + 13s 600.0 ¢ to 1050.0 ¢
Major 14-mosstep M14ms 2L + 12s 1050.0 ¢ to 1200.0 ¢
15-mosstep Diminished 15-mosstep d15ms L + 14s 600.0 ¢ to 1125.0 ¢
Perfect 15-mosstep P15ms 2L + 13s 1125.0 ¢ to 1200.0 ¢
16-mosstep Perfect 16-mosstep P16ms 2L + 14s 1200.0 ¢

Generator chain

Generator chain of 2L 14s
Bright gens Scale degree Abbrev. Scale degree Abbrev.
8 Augmented 0-mosdegree A0md Augmented 8-mosdegree A8md
7 Augmented 1-mosdegree A1md Augmented 9-mosdegree A9md
6 Major 2-mosdegree M2md Major 10-mosdegree M10md
5 Major 3-mosdegree M3md Major 11-mosdegree M11md
4 Major 4-mosdegree M4md Major 12-mosdegree M12md
3 Major 5-mosdegree M5md Major 13-mosdegree M13md
2 Major 6-mosdegree M6md Major 14-mosdegree M14md
1 Perfect 7-mosdegree P7md Perfect 15-mosdegree P15md
0 Perfect 0-mosdegree
Perfect 8-mosdegree		 P0md
P8md		 Perfect 8-mosdegree
Perfect 16-mosdegree		 P8md
P16md
−1 Perfect 1-mosdegree P1md Perfect 9-mosdegree P9md
−2 Minor 2-mosdegree m2md Minor 10-mosdegree m10md
−3 Minor 3-mosdegree m3md Minor 11-mosdegree m11md
−4 Minor 4-mosdegree m4md Minor 12-mosdegree m12md
−5 Minor 5-mosdegree m5md Minor 13-mosdegree m13md
−6 Minor 6-mosdegree m6md Minor 14-mosdegree m14md
−7 Diminished 7-mosdegree d7md Diminished 15-mosdegree d15md
−8 Diminished 8-mosdegree d8md Diminished 16-mosdegree d16md

Modes

Scale degrees of the modes of 2L 14s
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
14|0(2) 1 LsssssssLsssssss Perf. Aug. Maj. Maj. Maj. Maj. Maj. Perf. Perf. Aug. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
12|2(2) 8 sLsssssssLssssss Perf. Perf. Maj. Maj. Maj. Maj. Maj. Perf. Perf. Perf. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
10|4(2) 7 ssLsssssssLsssss Perf. Perf. Min. Maj. Maj. Maj. Maj. Perf. Perf. Perf. Min. Maj. Maj. Maj. Maj. Perf. Perf.
8|6(2) 6 sssLsssssssLssss Perf. Perf. Min. Min. Maj. Maj. Maj. Perf. Perf. Perf. Min. Min. Maj. Maj. Maj. Perf. Perf.
6|8(2) 5 ssssLsssssssLsss Perf. Perf. Min. Min. Min. Maj. Maj. Perf. Perf. Perf. Min. Min. Min. Maj. Maj. Perf. Perf.
4|10(2) 4 sssssLsssssssLss Perf. Perf. Min. Min. Min. Min. Maj. Perf. Perf. Perf. Min. Min. Min. Min. Maj. Perf. Perf.
2|12(2) 3 ssssssLsssssssLs Perf. Perf. Min. Min. Min. Min. Min. Perf. Perf. Perf. Min. Min. Min. Min. Min. Perf. Perf.
0|14(2) 2 sssssssLsssssssL Perf. Perf. Min. Min. Min. Min. Min. Dim. Perf. Perf. Min. Min. Min. Min. Min. Dim. Perf.

Scale tree

Scale tree and tuning spectrum of 2L 14s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
7\16 525.000 75.000 1:1 1.000 Equalized 2L 14s
36\82 526.829 73.171 6:5 1.200
29\66 527.273 72.727 5:4 1.250
51\116 527.586 72.414 9:7 1.286
22\50 528.000 72.000 4:3 1.333 Supersoft 2L 14s
59\134 528.358 71.642 11:8 1.375
37\84 528.571 71.429 7:5 1.400
52\118 528.814 71.186 10:7 1.429
15\34 529.412 70.588 3:2 1.500 Soft 2L 14s
53\120 530.000 70.000 11:7 1.571
38\86 530.233 69.767 8:5 1.600
61\138 530.435 69.565 13:8 1.625
23\52 530.769 69.231 5:3 1.667 Semisoft 2L 14s
54\122 531.148 68.852 12:7 1.714
31\70 531.429 68.571 7:4 1.750
39\88 531.818 68.182 9:5 1.800
8\18 533.333 66.667 2:1 2.000 Basic 2L 14s
Scales with tunings softer than this are proper
33\74 535.135 64.865 9:4 2.250
25\56 535.714 64.286 7:3 2.333
42\94 536.170 63.830 12:5 2.400
17\38 536.842 63.158 5:2 2.500 Semihard 2L 14s
43\96 537.500 62.500 13:5 2.600
26\58 537.931 62.069 8:3 2.667
35\78 538.462 61.538 11:4 2.750
9\20 540.000 60.000 3:1 3.000 Hard 2L 14s
28\62 541.935 58.065 10:3 3.333
19\42 542.857 57.143 7:2 3.500
29\64 543.750 56.250 11:3 3.667
10\22 545.455 54.545 4:1 4.000 Superhard 2L 14s
21\46 547.826 52.174 9:2 4.500
11\24 550.000 50.000 5:1 5.000
12\26 553.846 46.154 6:1 6.000
1\2 600.000 0.000 1:0 → ∞ Collapsed 2L 14s
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