7L 6s

Revision as of 22:32, 22 September 2024 by Ganaram inukshuk (talk | contribs) (put todo back)

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 ¢.

↖ 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 ¢)
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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

  Todo: review

Review entries from past page revision and enter them into the scale tree.

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