6L 8s

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Adopt scale tree template, review entries
↖ 5L 7s ↑6L 7s 7L 7s ↗
← 5L 8s6L 8s 7L 8s →
↙ 5L 9s ↓6L 9s 7L 9s ↘
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│║│║│║││║│║│║│││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLssLsLsLss
ssLsLsLssLsLsL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 2\14 to 1\6 (171.4¢ to 200.0¢)
Dark 2\6 to 5\14 (400.0¢ to 428.6¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Required step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 6L 2s
Sister 8L 6s
Daughters 14L 6s, 6L 14s
Neutralized 12L 2s
2-Flought 20L 8s, 6L 22s
Equal tunings
Equalized (L:s = 1:1) 2\14 (171.4¢)
Supersoft (L:s = 4:3) 7\48 (175.0¢)
Soft (L:s = 3:2) 5\34 (176.5¢)
Semisoft (L:s = 5:3) 8\54 (177.8¢)
Basic (L:s = 2:1) 3\20 (180.0¢)
Semihard (L:s = 5:2) 7\46 (182.6¢)
Hard (L:s = 3:1) 4\26 (184.6¢)
Superhard (L:s = 4:1) 5\32 (187.5¢)
Collapsed (L:s = 1:0) 1\6 (200.0¢)

6L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 8 small steps, with a period of 3 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 6L 8s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 171.4¢ to 200¢, or from 400¢ to 428.6¢.

Modes

Modes of 6L 8s
UDP Rotational order Step pattern
12|0(2) 1 LsLsLssLsLsLss
10|2(2) 3 LsLssLsLsLssLs
8|4(2) 5 LssLsLsLssLsLs
6|6(2) 7 sLsLsLssLsLsLs
4|8(2) 2 sLsLssLsLsLssL
2|10(2) 4 sLssLsLsLssLsL
0|12(2) 6 ssLsLsLssLsLsL

Tuning spectrum

generator L s L/s gen (cents) comment
1\6 1 0 200.000
8\50 7 1 7.000 192.000
7\44 6 1 6.000 190.909
6\38 5 1 5.000 189.474
11\70 9 2 4.500 188.571
5\32 4 1 4.000 187.500
14\90 11 3 3.667 186.667
9\58 7 2 3.500 186.207
13\84 10 3 3.333 185.714 Secant is around here
4\26 3 1 3.000 184.615
15\98 11 4 2.750 183.673
11\72 8 3 2.667 183.333 Hendec, Unidec are around here
18\118 13 5 2.600 183.051
7\46 5 2 2.500 182.609
17\112 12 5 2.400 182.143
10\66 7 3 2.333 181.818
13\86 9 4 2.250 181.395
3\20 2 1 2.000 180.000
14\94 9 5 1.800 178.723
11\74 7 4 1.750 178.378
19\128 12 7 1.714 178.125
8\54 5 3 1.667 177.778
13\88 8 5 1.600 177.273
18\122 11 7 1.571 177.049
5\34 3 2 1.500 176.471
17\116 10 7 1.429 175.862
12\82 7 5 1.400 175.610
19\130 11 8 1.375 175.385
7\48 4 3 1.333 175.000
16\110 9 7 1.286 174.545
9\62 5 4 1.250 174.194
11\76 6 5 1.200 173.684
13\90 7 6 1.167 173.333
2\14 1 1 1.000 171.429