8L 6s: Difference between revisions

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m Replaced content with "{{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum == Hedgehog range {{Scale tree}}"
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{{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Tuning spectrum ==
[[Hedgehog]] range
[[Hedgehog]] range
 
{{Scale tree}}
{| class="wikitable"
! colspan="8" | 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
| |
|}

Revision as of 20:49, 22 September 2024

↖ 7L 5s ↑ 8L 5s 9L 5s ↗
← 7L 6s 8L 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
Related to 6L 2s (ekic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 2s
Sister 6L 8s
Daughters 14L 8s, 8L 14s
Neutralized 2L 12s
2-Flought 22L 6s, 8L 20s
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 ¢)
View • Talk • Edit

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 Cyclic
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

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 8L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
5\14 428.571 171.429 1:1 1.000 Equalized 8L 6s
28\78 430.769 169.231 6:5 1.200
23\64 431.250 168.750 5:4 1.250
41\114 431.579 168.421 9:7 1.286
18\50 432.000 168.000 4:3 1.333 Supersoft 8L 6s
49\136 432.353 167.647 11:8 1.375
31\86 432.558 167.442 7:5 1.400
44\122 432.787 167.213 10:7 1.429
13\36 433.333 166.667 3:2 1.500 Soft 8L 6s
47\130 433.846 166.154 11:7 1.571
34\94 434.043 165.957 8:5 1.600
55\152 434.211 165.789 13:8 1.625
21\58 434.483 165.517 5:3 1.667 Semisoft 8L 6s
50\138 434.783 165.217 12:7 1.714
29\80 435.000 165.000 7:4 1.750
37\102 435.294 164.706 9:5 1.800
8\22 436.364 163.636 2:1 2.000 Basic 8L 6s
Scales with tunings softer than this are proper
35\96 437.500 162.500 9:4 2.250
27\74 437.838 162.162 7:3 2.333
46\126 438.095 161.905 12:5 2.400
19\52 438.462 161.538 5:2 2.500 Semihard 8L 6s
49\134 438.806 161.194 13:5 2.600
30\82 439.024 160.976 8:3 2.667
41\112 439.286 160.714 11:4 2.750
11\30 440.000 160.000 3:1 3.000 Hard 8L 6s
36\98 440.816 159.184 10:3 3.333
25\68 441.176 158.824 7:2 3.500
39\106 441.509 158.491 11:3 3.667
14\38 442.105 157.895 4:1 4.000 Superhard 8L 6s
31\84 442.857 157.143 9:2 4.500
17\46 443.478 156.522 5:1 5.000
20\54 444.444 155.556 6:1 6.000
3\8 450.000 150.000 1:0 → ∞ Collapsed 8L 6s
Retrieved from "https://en.xen.wiki/index.php?title=8L_6s&oldid=156151"