8L 6s

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Adopt scale tree template, review entries

↖7L 5s ↑8L 5s 9L 5s↗
←7L 6s8L 6s 9L 6s→
↙7L 7s ↓8L 7s 9L 7s↘
┌╥╥┬╥┬╥┬╥╥┬╥┬╥┬┐
│║║│║│║│║║│║│║││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLLsLsLs
sLsLsLLsLsLsLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 5\14 to 3\8 (428.6¢ to 450.0¢)
Dark 1\8 to 2\14 (150.0¢ to 171.4¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Required step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 2s
Sister 6L 8s
Daughters 14L 8s
8L 14s
Equal tunings
Equalized (L:s = 1:1) 5\14 (428.6¢)
Supersoft (L:s = 4:3) 18\50 (432.0¢)
Soft (L:s = 3:2) 13\36 (433.3¢)
Semisoft (L:s = 5:3) 21\58 (434.5¢)
Basic (L:s = 2:1) 8\22 (436.4¢)
Semihard (L:s = 5:2) 19\52 (438.5¢)
Hard (L:s = 3:1) 11\30 (440.0¢)
Superhard (L:s = 4:1) 14\38 (442.1¢)
Collapsed (L:s = 1:0) 3\8 (450.0¢)

8L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 6 small steps, with a period of 4 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. 8L 6s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 428.6¢ to 450¢, or from 150¢ to 171.4¢.

Modes

Modes of 8L 6s
UDP Rotational order Step pattern
12|0(2) 1 LLsLsLsLLsLsLs
10|2(2) 6 LsLLsLsLsLLsLs
8|4(2) 4 LsLsLLsLsLsLLs
6|6(2) 2 LsLsLsLLsLsLsL
4|8(2) 7 sLLsLsLsLLsLsL
2|10(2) 5 sLsLLsLsLsLLsL
0|12(2) 3 sLsLsLLsLsLsLL

Tuning spectrum

Hedgehog range

generator L s L/s gen (cents) comment
1\8 1 0 150.000
9\70 8 1 8.000 154.286
8\62 7 1 7.000 154.839
15\116 13 2 6.500 155.172
7\54 6 1 6.000 155.556
13\100 11 2 5.500 156.000
19\146 16 3 5.333 156.164
6\46 5 1 5.000 156.522
17\130 14 3 4.667 156.923
11\84 9 2 4.500 157.143
16\122 13 3 4.333 157.377
5\38 4 1 4.000 157.895
19\144 15 4 3.750 158.333
14\106 11 3 3.667 158.491
9\68 7 2 3.500 158.824
13\98 10 3 3.333 159.184
17\128 13 4 3.250 159.375
4\30 3 1 3.000 160.000
19\142 14 5 2.800 160.563
15\112 11 4 2.750 160.714
11\82 8 3 2.667 160.976
18\134 13 5 2.600 161.194
7\52 5 2 2.500 161.538
17\126 12 5 2.400 161.905
10\74 7 3 2.333 162.162
13\96 9 4 2.250 162.500
16\118 11 5 2.200 162.712 Gwazy, Bisupermajor are around here
19\140 13 6 2.167 162.857 Urchin is around here
3\22 2 1 2.000 163.636
20\146 13 7 1.857 164.384 Hedgehog is optimal around here
17\124 11 6 1.833 164.516
14\102 9 5 1.800 164.706
11\80 7 4 1.750 165.000
19\138 12 7 1.714 165.217 Echidna is around here
8\58 5 3 1.667 165.517
13\94 8 5 1.600 165.957
18\130 11 7 1.571 166.154 Pogo is around here
5\36 3 2 1.500 166.667
17\122 10 7 1.429 167.213
12\86 7 5 1.400 167.442
19\136 11 8 1.375 167.647
7\50 4 3 1.333 168.000
16\114 9 7 1.286 168.421
9\64 5 4 1.250 168.750
20\142 11 9 1.222 169.014
11\78 6 5 1.200 169.231
13\92 7 6 1.167 169.565
15\106 8 7 1.143 169.811
2\14 1 1 1.000 171.429