6L 14s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 5L 13s ↑ 6L 13s 7L 13s ↗
← 5L 14s 6L 14s 7L 14s →
↙ 5L 15s ↓ 6L 15s 7L 15s ↘
┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬╥┬┬┬┐
│║││║││║│││║││║││║││││
││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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¢.

Modes

Modes of 6L 14s
UDP Cyclic
order
Step
pattern
18|0(2) 1 LssLssLsssLssLssLsss
16|2(2) 4 LssLsssLssLssLsssLss
14|4(2) 7 LsssLssLssLsssLssLss
12|6(2) 10 sLssLssLsssLssLssLss
10|8(2) 3 sLssLsssLssLssLsssLs
8|10(2) 6 sLsssLssLssLsssLssLs
6|12(2) 9 ssLssLssLsssLssLssLs
4|14(2) 2 ssLssLsssLssLssLsssL
2|16(2) 5 ssLsssLssLssLsssLssL
0|18(2) 8 sssLssLssLsssLssLssL

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