6L 11s

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↖ 5L 10s↑ 6L 10s 7L 10s ↗
← 5L 11s6L 11s7L 11s →
↙ 5L 12s↓ 6L 12s 7L 12s ↘
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│║│║││║││║││║││║│││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLssLssLssLss
ssLssLssLssLssLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 14\17 to 5\6 (988.2¢ to 1000.0¢)
Dark 1\6 to 3\17 (200.0¢ to 211.8¢)
TAMNAMS information
Descends from 5L 1s (machinoid)
Ancestor's step ratio range 1:1 to 3:2 (soft)
Related MOS scales
Parent 6L 5s
Sister 11L 6s
Daughters 17L 6s, 6L 17s
Neutralized 12L 5s
2-Flought 23L 11s, 6L 28s
Equal tunings
Equalized (L:s = 1:1) 14\17 (988.2¢)
Supersoft (L:s = 4:3) 47\57 (989.5¢)
Soft (L:s = 3:2) 33\40 (990.0¢)
Semisoft (L:s = 5:3) 52\63 (990.5¢)
Basic (L:s = 2:1) 19\23 (991.3¢)
Semihard (L:s = 5:2) 43\52 (992.3¢)
Hard (L:s = 3:1) 24\29 (993.1¢)
Superhard (L:s = 4:1) 29\35 (994.3¢)
Collapsed (L:s = 1:0) 5\6 (1000.0¢)

6L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 11 small steps, repeating every octave. 6L 11s is a grandchild scale of 5L 1s, expanding it by 11 tones. Generators that produce this scale range from 988.2¢ to 1000¢, or from 200¢ to 211.8¢.

Modes

Modes of 6L 11s
UDP Cyclic
order
Step
pattern
16|0 1 LsLssLssLssLssLss
15|1 15 LssLsLssLssLssLss
14|2 12 LssLssLsLssLssLss
13|3 9 LssLssLssLsLssLss
12|4 6 LssLssLssLssLsLss
11|5 3 LssLssLssLssLssLs
10|6 17 sLsLssLssLssLssLs
9|7 14 sLssLsLssLssLssLs
8|8 11 sLssLssLsLssLssLs
7|9 8 sLssLssLssLsLssLs
6|10 5 sLssLssLssLssLsLs
5|11 2 sLssLssLssLssLssL
4|12 16 ssLsLssLssLssLssL
3|13 13 ssLssLsLssLssLssL
2|14 10 ssLssLssLsLssLssL
1|15 7 ssLssLssLssLsLssL
0|16 4 ssLssLssLssLssLsL

Scale tree

Scale Tree and Tuning Spectrum of 6L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
14\17 988.235 211.765 1:1 1.000 Equalized 6L 11s
75\91 989.011 210.989 6:5 1.200
61\74 989.189 210.811 5:4 1.250
108\131 989.313 210.687 9:7 1.286
47\57 989.474 210.526 4:3 1.333 Supersoft 6L 11s
127\154 989.610 210.390 11:8 1.375
80\97 989.691 210.309 7:5 1.400
113\137 989.781 210.219 10:7 1.429
33\40 990.000 210.000 3:2 1.500 Soft 6L 11s
118\143 990.210 209.790 11:7 1.571
85\103 990.291 209.709 8:5 1.600
137\166 990.361 209.639 13:8 1.625
52\63 990.476 209.524 5:3 1.667 Semisoft 6L 11s
123\149 990.604 209.396 12:7 1.714
71\86 990.698 209.302 7:4 1.750
90\109 990.826 209.174 9:5 1.800
19\23 991.304 208.696 2:1 2.000 Basic 6L 11s
Scales with tunings softer than this are proper
81\98 991.837 208.163 9:4 2.250
62\75 992.000 208.000 7:3 2.333
105\127 992.126 207.874 12:5 2.400
43\52 992.308 207.692 5:2 2.500 Semihard 6L 11s
110\133 992.481 207.519 13:5 2.600
67\81 992.593 207.407 8:3 2.667
91\110 992.727 207.273 11:4 2.750
24\29 993.103 206.897 3:1 3.000 Hard 6L 11s
77\93 993.548 206.452 10:3 3.333
53\64 993.750 206.250 7:2 3.500
82\99 993.939 206.061 11:3 3.667
29\35 994.286 205.714 4:1 4.000 Superhard 6L 11s
63\76 994.737 205.263 9:2 4.500
34\41 995.122 204.878 5:1 5.000
39\47 995.745 204.255 6:1 6.000
5\6 1000.000 200.000 1:0 → ∞ Collapsed 6L 11s
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