6L 9s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 5L 8s ↑ 6L 8s 7L 8s ↗
← 5L 9s 6L 9s 7L 9s →
↙ 5L 10s ↓ 6L 10s 7L 10s ↘
┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬┐
│║│║││║│║││║│║│││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLsLssLsLss
ssLsLssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 2\15 to 1\6 (160.0 ¢ to 200.0 ¢)
Dark 1\6 to 3\15 (200.0 ¢ to 240.0 ¢)
TAMNAMS information
Descends from 6L 3s (hyrulic)
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 6L 3s
Sister 9L 6s
Daughters 15L 6s, 6L 15s
Neutralized 12L 3s
2-Flought 21L 9s, 6L 24s
Equal tunings
Equalized (L:s = 1:1) 2\15 (160.0 ¢)
Supersoft (L:s = 4:3) 7\51 (164.7 ¢)
Soft (L:s = 3:2) 5\36 (166.7 ¢)
Semisoft (L:s = 5:3) 8\57 (168.4 ¢)
Basic (L:s = 2:1) 3\21 (171.4 ¢)
Semihard (L:s = 5:2) 7\48 (175.0 ¢)
Hard (L:s = 3:1) 4\27 (177.8 ¢)
Superhard (L:s = 4:1) 5\33 (181.8 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)

6L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 9 small steps, with a period of 2 large steps and 3 small steps that repeats every 400.0 ¢, or 3 times every octave. 6L 9s is a child scale of 6L 3s, expanding it by 6 tones. Generators that produce this scale range from 160 ¢ to 200 ¢, or from 200 ¢ to 240 ¢.

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.

{{subst:MOS data temporary}}

Scale tree

Scale tree and tuning spectrum of 6L 9s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\15 160.000 240.000 1:1 1.000 Equalized 6L 9s
11\81 162.963 237.037 6:5 1.200
9\66 163.636 236.364 5:4 1.250
16\117 164.103 235.897 9:7 1.286
7\51 164.706 235.294 4:3 1.333 Supersoft 6L 9s
19\138 165.217 234.783 11:8 1.375
12\87 165.517 234.483 7:5 1.400
17\123 165.854 234.146 10:7 1.429
5\36 166.667 233.333 3:2 1.500 Soft 6L 9s
18\129 167.442 232.558 11:7 1.571
13\93 167.742 232.258 8:5 1.600
21\150 168.000 232.000 13:8 1.625
8\57 168.421 231.579 5:3 1.667 Semisoft 6L 9s
Ternary is around here
19\135 168.889 231.111 12:7 1.714
11\78 169.231 230.769 7:4 1.750
14\99 169.697 230.303 9:5 1.800
3\21 171.429 228.571 2:1 2.000 Basic 6L 9s
Scales with tunings softer than this are proper
13\90 173.333 226.667 9:4 2.250
10\69 173.913 226.087 7:3 2.333 Oodako is around here
17\117 174.359 225.641 12:5 2.400
7\48 175.000 225.000 5:2 2.500 Semihard 6L 9s
18\123 175.610 224.390 13:5 2.600
11\75 176.000 224.000 8:3 2.667
15\102 176.471 223.529 11:4 2.750
4\27 177.778 222.222 3:1 3.000 Hard 6L 9s
13\87 179.310 220.690 10:3 3.333
9\60 180.000 220.000 7:2 3.500
14\93 180.645 219.355 11:3 3.667
5\33 181.818 218.182 4:1 4.000 Superhard 6L 9s
Terrain is around here
11\72 183.333 216.667 9:2 4.500 Mirkat is around here
6\39 184.615 215.385 5:1 5.000
7\45 186.667 213.333 6:1 6.000
1\6 200.000 200.000 1:0 → ∞ Collapsed 6L 9s
Icon-Stub.png This page is a stub. You can help the Xenharmonic Wiki by expanding it.