6L 3s: Difference between revisions

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For a more down-to-earth temperament, try [[Triforce|triforce]].
For a more down-to-earth temperament, try [[Triforce|triforce]].


== Scales ==
* [[Triphi]] – L:s = φ
== Scale tree ==
{| class="wikitable"
{| class="wikitable"
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[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Hyrulic| ]] <!-- main article -->

Revision as of 13:24, 3 March 2022

↖ 5L 2s ↑ 6L 2s 7L 2s ↗
← 5L 3s 6L 3s 7L 3s →
↙ 5L 4s ↓ 6L 4s 7L 4s ↘
┌╥╥┬╥╥┬╥╥┬┐
│║║│║║│║║││
│││││││││││
└┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLs
sLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 1\9 to 1\6 (133.3 ¢ to 200.0 ¢)
Dark 1\6 to 2\9 (200.0 ¢ to 266.7 ¢)
TAMNAMS information
Name hyrulic
Prefix hyru-
Abbrev. hy
Related MOS scales
Parent 3L 3s
Sister 3L 6s
Daughters 9L 6s, 6L 9s
Neutralized 3L 6s
2-Flought 15L 3s, 6L 12s
Equal tunings
Equalized (L:s = 1:1) 1\9 (133.3 ¢)
Supersoft (L:s = 4:3) 4\33 (145.5 ¢)
Soft (L:s = 3:2) 3\24 (150.0 ¢)
Semisoft (L:s = 5:3) 5\39 (153.8 ¢)
Basic (L:s = 2:1) 2\15 (160.0 ¢)
Semihard (L:s = 5:2) 5\36 (166.7 ¢)
Hard (L:s = 3:1) 3\21 (171.4 ¢)
Superhard (L:s = 4:1) 4\27 (177.8 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)

6L 3s is a MOS pattern with period 1\3.

The tiny region between 26\171 and 281\1848 is the terrain region, giving the abitonic scale for the remarkable terrain temperament chromatic pair. If you feel that is too small a region to allocate or prefer edos of a more usual size, you can call it the region between 5/33 and 6/39, but that misses the extreme accuracy of this temperament.

For a more down-to-earth temperament, try triforce.

Scales

Scale tree

Generator Cents Comments
1\9 133.33
10\87 137.93
9\78 138.46
8\69 139.13
7\60 140
6\51 141.18
11\93 141.935
16\135 142.22
21\177 142.37
26\219 142.47
5\42 142.86
4\33 145.455
3\24 150
151.71
8\63 152.38
21\165 152.73
55\432 152.78
89\699 152.79 Golden Triforce
34\267 152.81
13\102 152.94
5\39 153.85 Triforce is around here
155.2
2\15 160 Boundary of propriety (generators

smaller than this are proper)

17\126 161.905
15\111 162.16
13\96 162.50
11\81 162.96
9\66 163.64
7\51 164.71
12\87 165.52
5\36 166.67
13\93 167.74
34\243 167.9
89\636 167.93
55\393 167.94
21\150 168
8\57 168.42
168.93 L/s = e
11\78 169.23

14\99 169.70
17\120 170.00

3\21 171.43 L/s = 3
172.54 L/s = pi
16\111 172.97
13\90 173.33
10\69 173.91
17\117 174.36
7\48 175.00
11\75 176.00
4\27 177.78 L/s = 4
17\114 178.95
13\87 179.31
9\60 180.00
5\33 181.82
26\171 182.46 Terrain is around here
21\138 182.61
16\105 182.86
11\72 183.33
6\39 184.62
7\45 186.67
8\51 188.235
9\57 189.47
10\63 190.48
1\6 200