6L 8s: Difference between revisions

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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 ==
{| class="wikitable"
{{Scale tree}}
! colspan="7" | 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
| |
|}

Revision as of 20:46, 22 September 2024

↖ 5L 7s ↑ 6L 7s 7L 7s ↗
← 5L 8s 6L 8s 7L 8s →
↙ 5L 9s ↓ 6L 9s 7L 9s ↘
┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬┐
│║│║│║││║│║│║│││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Related to 6L 2s (ekic)
With tunings 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 Cyclic
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

Template:Scale tree