6L 14s

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↖ 5L 13s ↑ 6L 13s 7L 13s ↗
← 5L 14s 6L 14s 7L 14s →
↙ 5L 15s ↓ 6L 15s 7L 15s ↘ 
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Scale structure
Step pattern LssLssLsssLssLssLsss
sssLssLssLsssLssLssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 3\20 to 1\6 (180.0 ¢ to 200.0 ¢)
Dark 2\6 to 7\20 (400.0 ¢ to 420.0 ¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Ancestor's step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 6L 8s
Sister 14L 6s
Daughters 20L 6s, 6L 20s
Neutralized 12L 8s
2-Flought 26L 14s, 6L 34s
Equal tunings
Equalized (L:s = 1:1) 3\20 (180.0 ¢)
Supersoft (L:s = 4:3) 10\66 (181.8 ¢)
Soft (L:s = 3:2) 7\46 (182.6 ¢)
Semisoft (L:s = 5:3) 11\72 (183.3 ¢)
Basic (L:s = 2:1) 4\26 (184.6 ¢)
Semihard (L:s = 5:2) 9\58 (186.2 ¢)
Hard (L:s = 3:1) 5\32 (187.5 ¢)
Superhard (L:s = 4:1) 6\38 (189.5 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)

6L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 14 small steps, with a period of 3 large steps and 7 small steps that repeats every 600.0 ¢, or twice every octave. 6L 14s is a grandchild scale of 6L 2s, expanding it by 12 tones. Generators that produce this scale range from 180 ¢ to 200 ¢, or from 400 ¢ to 420 ¢.

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 diatonic interval categories.

Intervals

Intervals of 6L 14s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 60.0 ¢
Major 1-mosstep M1ms L 60.0 ¢ to 200.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 120.0 ¢
Major 2-mosstep M2ms L + s 120.0 ¢ to 200.0 ¢
3-mosstep Diminished 3-mosstep d3ms 3s 0.0 ¢ to 180.0 ¢
Perfect 3-mosstep P3ms L + 2s 180.0 ¢ to 200.0 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 200.0 ¢ to 240.0 ¢
Major 4-mosstep M4ms 2L + 2s 240.0 ¢ to 400.0 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 200.0 ¢ to 300.0 ¢
Major 5-mosstep M5ms 2L + 3s 300.0 ¢ to 400.0 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 200.0 ¢ to 360.0 ¢
Major 6-mosstep M6ms 2L + 4s 360.0 ¢ to 400.0 ¢
7-mosstep Perfect 7-mosstep P7ms 2L + 5s 400.0 ¢ to 420.0 ¢
Augmented 7-mosstep A7ms 3L + 4s 420.0 ¢ to 600.0 ¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 400.0 ¢ to 480.0 ¢
Major 8-mosstep M8ms 3L + 5s 480.0 ¢ to 600.0 ¢
9-mosstep Minor 9-mosstep m9ms 2L + 7s 400.0 ¢ to 540.0 ¢
Major 9-mosstep M9ms 3L + 6s 540.0 ¢ to 600.0 ¢
10-mosstep Perfect 10-mosstep P10ms 3L + 7s 600.0 ¢
11-mosstep Minor 11-mosstep m11ms 3L + 8s 600.0 ¢ to 660.0 ¢
Major 11-mosstep M11ms 4L + 7s 660.0 ¢ to 800.0 ¢
12-mosstep Minor 12-mosstep m12ms 3L + 9s 600.0 ¢ to 720.0 ¢
Major 12-mosstep M12ms 4L + 8s 720.0 ¢ to 800.0 ¢
13-mosstep Diminished 13-mosstep d13ms 3L + 10s 600.0 ¢ to 780.0 ¢
Perfect 13-mosstep P13ms 4L + 9s 780.0 ¢ to 800.0 ¢
14-mosstep Minor 14-mosstep m14ms 4L + 10s 800.0 ¢ to 840.0 ¢
Major 14-mosstep M14ms 5L + 9s 840.0 ¢ to 1000.0 ¢
15-mosstep Minor 15-mosstep m15ms 4L + 11s 800.0 ¢ to 900.0 ¢
Major 15-mosstep M15ms 5L + 10s 900.0 ¢ to 1000.0 ¢
16-mosstep Minor 16-mosstep m16ms 4L + 12s 800.0 ¢ to 960.0 ¢
Major 16-mosstep M16ms 5L + 11s 960.0 ¢ to 1000.0 ¢
17-mosstep Perfect 17-mosstep P17ms 5L + 12s 1000.0 ¢ to 1020.0 ¢
Augmented 17-mosstep A17ms 6L + 11s 1020.0 ¢ to 1200.0 ¢
18-mosstep Minor 18-mosstep m18ms 5L + 13s 1000.0 ¢ to 1080.0 ¢
Major 18-mosstep M18ms 6L + 12s 1080.0 ¢ to 1200.0 ¢
19-mosstep Minor 19-mosstep m19ms 5L + 14s 1000.0 ¢ to 1140.0 ¢
Major 19-mosstep M19ms 6L + 13s 1140.0 ¢ to 1200.0 ¢
20-mosstep Perfect 20-mosstep P20ms 6L + 14s 1200.0 ¢

Generator chain

Generator chain of 6L 14s
Bright gens Scale degree Abbrev. Scale degree Abbrev.
12 Augmented 6-mosdegree A6md Augmented 16-mosdegree A16md
11 Augmented 3-mosdegree A3md Augmented 13-mosdegree A13md
10 Augmented 0-mosdegree A0md Augmented 10-mosdegree A10md
9 Augmented 7-mosdegree A7md Augmented 17-mosdegree A17md
8 Major 4-mosdegree M4md Major 14-mosdegree M14md
7 Major 1-mosdegree M1md Major 11-mosdegree M11md
6 Major 8-mosdegree M8md Major 18-mosdegree M18md
5 Major 5-mosdegree M5md Major 15-mosdegree M15md
4 Major 2-mosdegree M2md Major 12-mosdegree M12md
3 Major 9-mosdegree M9md Major 19-mosdegree M19md
2 Major 6-mosdegree M6md Major 16-mosdegree M16md
1 Perfect 3-mosdegree P3md Perfect 13-mosdegree P13md
0 Perfect 0-mosdegree
Perfect 10-mosdegree		 P0md
P10md		 Perfect 10-mosdegree
Perfect 20-mosdegree		 P10md
P20md
−1 Perfect 7-mosdegree P7md Perfect 17-mosdegree P17md
−2 Minor 4-mosdegree m4md Minor 14-mosdegree m14md
−3 Minor 1-mosdegree m1md Minor 11-mosdegree m11md
−4 Minor 8-mosdegree m8md Minor 18-mosdegree m18md
−5 Minor 5-mosdegree m5md Minor 15-mosdegree m15md
−6 Minor 2-mosdegree m2md Minor 12-mosdegree m12md
−7 Minor 9-mosdegree m9md Minor 19-mosdegree m19md
−8 Minor 6-mosdegree m6md Minor 16-mosdegree m16md
−9 Diminished 3-mosdegree d3md Diminished 13-mosdegree d13md
−10 Diminished 10-mosdegree d10md Diminished 20-mosdegree d20md
−11 Diminished 7-mosdegree d7md Diminished 17-mosdegree d17md
−12 Diminished 4-mosdegree d4md Diminished 14-mosdegree d14md

Modes

Scale degrees of the modes of 6L 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 17 18 19 20
18|0(2) 1 LssLssLsssLssLssLsss Perf. Maj. Maj. Perf. Maj. Maj. Maj. Aug. Maj. Maj. Perf. Maj. Maj. Perf. Maj. Maj. Maj. Aug. Maj. Maj. Perf.
16|2(2) 4 LssLsssLssLssLsssLss Perf. Maj. Maj. Perf. Maj. Maj. Maj. Perf. Maj. Maj. Perf. Maj. Maj. Perf. Maj. Maj. Maj. Perf. Maj. Maj. Perf.
14|4(2) 7 LsssLssLssLsssLssLss Perf. Maj. Maj. Perf. Min. Maj. Maj. Perf. Maj. Maj. Perf. Maj. Maj. Perf. Min. Maj. Maj. Perf. Maj. Maj. Perf.
12|6(2) 10 sLssLssLsssLssLssLss Perf. Min. Maj. Perf. Min. Maj. Maj. Perf. Maj. Maj. Perf. Min. Maj. Perf. Min. Maj. Maj. Perf. Maj. Maj. Perf.
10|8(2) 3 sLssLsssLssLssLsssLs Perf. Min. Maj. Perf. Min. Maj. Maj. Perf. Min. Maj. Perf. Min. Maj. Perf. Min. Maj. Maj. Perf. Min. Maj. Perf.
8|10(2) 6 sLsssLssLssLsssLssLs Perf. Min. Maj. Perf. Min. Min. Maj. Perf. Min. Maj. Perf. Min. Maj. Perf. Min. Min. Maj. Perf. Min. Maj. Perf.
6|12(2) 9 ssLssLssLsssLssLssLs Perf. Min. Min. Perf. Min. Min. Maj. Perf. Min. Maj. Perf. Min. Min. Perf. Min. Min. Maj. Perf. Min. Maj. Perf.
4|14(2) 2 ssLssLsssLssLssLsssL Perf. Min. Min. Perf. Min. Min. Maj. Perf. Min. Min. Perf. Min. Min. Perf. Min. Min. Maj. Perf. Min. Min. Perf.
2|16(2) 5 ssLsssLssLssLsssLssL Perf. Min. Min. Perf. Min. Min. Min. Perf. Min. Min. Perf. Min. Min. Perf. Min. Min. Min. Perf. Min. Min. Perf.
0|18(2) 8 sssLssLssLsssLssLssL Perf. Min. Min. Dim. Min. Min. Min. Perf. Min. Min. Perf. Min. Min. Dim. Min. Min. Min. Perf. Min. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 6L 14s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\20 180.000 420.000 1:1 1.000 Equalized 6L 14s
16\106 181.132 418.868 6:5 1.200
13\86 181.395 418.605 5:4 1.250
23\152 181.579 418.421 9:7 1.286
10\66 181.818 418.182 4:3 1.333 Supersoft 6L 14s
27\178 182.022 417.978 11:8 1.375
17\112 182.143 417.857 7:5 1.400
24\158 182.278 417.722 10:7 1.429
7\46 182.609 417.391 3:2 1.500 Soft 6L 14s
25\164 182.927 417.073 11:7 1.571
18\118 183.051 416.949 8:5 1.600
29\190 183.158 416.842 13:8 1.625
11\72 183.333 416.667 5:3 1.667 Semisoft 6L 14s
26\170 183.529 416.471 12:7 1.714
15\98 183.673 416.327 7:4 1.750
19\124 183.871 416.129 9:5 1.800
4\26 184.615 415.385 2:1 2.000 Basic 6L 14s
Scales with tunings softer than this are proper
17\110 185.455 414.545 9:4 2.250
13\84 185.714 414.286 7:3 2.333
22\142 185.915 414.085 12:5 2.400
9\58 186.207 413.793 5:2 2.500 Semihard 6L 14s
23\148 186.486 413.514 13:5 2.600
14\90 186.667 413.333 8:3 2.667
19\122 186.885 413.115 11:4 2.750
5\32 187.500 412.500 3:1 3.000 Hard 6L 14s
16\102 188.235 411.765 10:3 3.333
11\70 188.571 411.429 7:2 3.500
17\108 188.889 411.111 11:3 3.667
6\38 189.474 410.526 4:1 4.000 Superhard 6L 14s
13\82 190.244 409.756 9:2 4.500
7\44 190.909 409.091 5:1 5.000
8\50 192.000 408.000 6:1 6.000
1\6 200.000 400.000 1:0 → ∞ Collapsed 6L 14s
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