7L 6s: 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 ==
Enipucrop range. See also [[7L 6s 7L 13s and 13L 7s]].
Enipucrop range. See also [[7L 6s 7L 13s and 13L 7s]].
 
{{Scale tree}}
{| class="wikitable"
! colspan="7" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\7
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 171.429
| |
|-
|
|
|
|
|
|
|8\55
|7
|1
|7.000
|174.5455
|
|-
| |
| |
| |
| |
| |
| | 7\48
| |
| | 6
| | 1
| | 6.000
| | 175.000
| |
|-
| |
| |
| |
| |
| | 6\41
| |
| |
| | 5
| | 1
| | 5.000
| | 175.610
| | Sesquiquartififths, Monkey, Bunya
|-
| |
| |
| |
| |
| |
| | 11\75
| |
| | 9
| | 2
| | 4.500
| | 176.000
| | Tetracot
|-
| |
| |
| |
| | 5\34
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 176.471
| |
|-
| |
| |
| |
| |
| |
| | 14\95
| |
| | 11
| | 3
| | 3.667
| | 176.842
| |
|-
| |
| |
| |
| |
| | 9\61
| |
| |
| | 7
| | 2
| | 3.500
| | 177.049
| | Modus
|-
| |
| |
| |
| |
| |
| | 13\88
| |
| | 10
| | 3
| | 3.333
| | 177.273
| | Wollemia, Ponens
|-
| |
| |
| | 4\27
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 177.778
| |
|-
| |
| |
| |
| |
| |
| | 15\101
| |
| | 11
| | 4
| | 2.750
| | 178.218
| |
|-
| |
| |
| |
| |
| | 11\74
| |
| |
| | 8
| | 3
| | 2.667
| | 178.378
| |
|-
| |
| |
| |
| | 7\47
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 178.723
| |
|-
| |
| |
| |
| |
| |
| | 17\114
| |
| | 12
| | 5
| | 2.400
| | 178.947
| |
|-
| |
| |
| |
| |
| | 10\67
| |
| |
| | 7
| | 3
| | 2.333
| | 179.104
| |
|-
| |
| |
| |
| |
| |
| | 13\87
| |
| | 9
| | 4
| | 2.250
| | 179.310
| |
|-
| |
| | 3\20
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 180.000
| |
|-
| |
| |
| |
| |
| |
| | 14\93
| |
| | 9
| | 5
| | 1.800
| | 180.645
| |
|-
| |
| |
| |
| |
| | 11\73
| |
| |
| | 7
| | 4
| | 1.750
| | 180.822
| |
|-
| |
| |
| |
| | 8\53
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 181.132
| |
|-
| |
| |
| |
| |
| | 13\86
| |
| |
| | 8
| | 5
| | 1.600
| | 181.395
| |
|-
| |
| |
| |
| |
| |
| | 18\119
| |
| | 11
| | 7
| | 1.571
| | 181.513
| |
|-
| |
| |
| | 5\33
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 181.818
| |
|-
| |
| |
| |
| |
| |
| | 17\112
| |
| | 10
| | 7
| | 1.429
| | 182.143
| |
|-
| |
| |
| |
| |
| | 12\79
| |
| |
| | 7
| | 5
| | 1.400
| | 182.278
| |
|-
| |
| |
| |
| | 7\46
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 182.609
| | Mitonic
|-
| |
| |
| |
| |
| |
| | 16\105
| |
| | 9
| | 7
| | 1.286
| | 182.857
| |
|-
| |
| |
| |
| |
| | 9\59
| |
| |
| | 5
| | 4
| | 1.250
| | 183.051
| |
|-
| |
| |
| |
| |
| |
| | 11\72
| |
| | 6
| | 5
| | 1.200
| | 183.333
| |
|-
|
|
|
|
|
|
|13\85
|7
|6
|1.167
|183.529
|
|-
| | 2\13
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 184.615
| |
|}

Revision as of 20:43, 22 September 2024

↖ 6L 5s ↑ 7L 5s 8L 5s ↗
← 6L 6s 7L 6s 8L 6s →
↙ 6L 7s ↓ 7L 7s 8L 7s ↘
Scale structure
Step pattern LLsLsLsLsLsLs
sLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\13 to 6\7 (1015.4 ¢ to 1028.6 ¢)
Dark 1\7 to 2\13 (171.4 ¢ to 184.6 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 1s
Sister 6L 7s
Daughters 13L 7s, 7L 13s
Neutralized 1L 12s
2-Flought 20L 6s, 7L 19s
Equal tunings
Equalized (L:s = 1:1) 11\13 (1015.4 ¢)
Supersoft (L:s = 4:3) 39\46 (1017.4 ¢)
Soft (L:s = 3:2) 28\33 (1018.2 ¢)
Semisoft (L:s = 5:3) 45\53 (1018.9 ¢)
Basic (L:s = 2:1) 17\20 (1020.0 ¢)
Semihard (L:s = 5:2) 40\47 (1021.3 ¢)
Hard (L:s = 3:1) 23\27 (1022.2 ¢)
Superhard (L:s = 4:1) 29\34 (1023.5 ¢)
Collapsed (L:s = 1:0) 6\7 (1028.6 ¢)
View • Talk • Edit

7L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 6 small steps, repeating every octave. 7L 6s is a child scale of 6L 1s, expanding it by 6 tones. Generators that produce this scale range from 1015.4 ¢ to 1028.6 ¢, or from 171.4 ¢ to 184.6 ¢.

Modes

Modes of 7L 6s
UDP Cyclic
order		 Step
pattern
12|0 1 LLsLsLsLsLsLs
11|1 12 LsLLsLsLsLsLs
10|2 10 LsLsLLsLsLsLs
9|3 8 LsLsLsLLsLsLs
8|4 6 LsLsLsLsLLsLs
7|5 4 LsLsLsLsLsLLs
6|6 2 LsLsLsLsLsLsL
5|7 13 sLLsLsLsLsLsL
4|8 11 sLsLLsLsLsLsL
3|9 9 sLsLsLLsLsLsL
2|10 7 sLsLsLsLLsLsL
1|11 5 sLsLsLsLsLLsL
0|12 3 sLsLsLsLsLsLL

Tuning spectrum

Enipucrop range. See also 7L 6s 7L 13s and 13L 7s.

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 7L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\13 1015.385 184.615 1:1 1.000 Equalized 7L 6s
61\72 1016.667 183.333 6:5 1.200
50\59 1016.949 183.051 5:4 1.250
89\105 1017.143 182.857 9:7 1.286
39\46 1017.391 182.609 4:3 1.333 Supersoft 7L 6s
106\125 1017.600 182.400 11:8 1.375
67\79 1017.722 182.278 7:5 1.400
95\112 1017.857 182.143 10:7 1.429
28\33 1018.182 181.818 3:2 1.500 Soft 7L 6s
101\119 1018.487 181.513 11:7 1.571
73\86 1018.605 181.395 8:5 1.600
118\139 1018.705 181.295 13:8 1.625
45\53 1018.868 181.132 5:3 1.667 Semisoft 7L 6s
107\126 1019.048 180.952 12:7 1.714
62\73 1019.178 180.822 7:4 1.750
79\93 1019.355 180.645 9:5 1.800
17\20 1020.000 180.000 2:1 2.000 Basic 7L 6s
Scales with tunings softer than this are proper
74\87 1020.690 179.310 9:4 2.250
57\67 1020.896 179.104 7:3 2.333
97\114 1021.053 178.947 12:5 2.400
40\47 1021.277 178.723 5:2 2.500 Semihard 7L 6s
103\121 1021.488 178.512 13:5 2.600
63\74 1021.622 178.378 8:3 2.667
86\101 1021.782 178.218 11:4 2.750
23\27 1022.222 177.778 3:1 3.000 Hard 7L 6s
75\88 1022.727 177.273 10:3 3.333
52\61 1022.951 177.049 7:2 3.500
81\95 1023.158 176.842 11:3 3.667
29\34 1023.529 176.471 4:1 4.000 Superhard 7L 6s
64\75 1024.000 176.000 9:2 4.500
35\41 1024.390 175.610 5:1 5.000
41\48 1025.000 175.000 6:1 6.000
6\7 1028.571 171.429 1:0 → ∞ Collapsed 7L 6s
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