5L 10s: Difference between revisions

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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
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{{Infobox MOS}}
{{MOS intro}}
== Modes ==
{{MOS modes}}
== Tuning spectrum ==
Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see [[10L 5s]] )
Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see [[10L 5s]] )


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[[category:todo:intro]]

Revision as of 06:23, 30 January 2024

↖ 4L 9s ↑ 5L 9s 6L 9s ↗
← 4L 10s 5L 10s 6L 10s →
↙ 4L 11s ↓ 5L 11s 6L 11s ↘
Scale structure
Step pattern LssLssLssLssLss
ssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 1\5 (240.0 ¢)
Generator size
Bright 2\15 to 1\5 (160.0 ¢ to 240.0 ¢)
Dark 0\5 to 1\15 (0.0 ¢ to 80.0 ¢)
TAMNAMS information
Related to 5L 5s (pentawood)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 5L 5s
Sister 10L 5s
Daughters 15L 5s, 5L 15s
Neutralized 10L 5s
2-Flought 20L 10s, 5L 25s
Equal tunings
Equalized (L:s = 1:1) 2\15 (160.0 ¢)
Supersoft (L:s = 4:3) 7\50 (168.0 ¢)
Soft (L:s = 3:2) 5\35 (171.4 ¢)
Semisoft (L:s = 5:3) 8\55 (174.5 ¢)
Basic (L:s = 2:1) 3\20 (180.0 ¢)
Semihard (L:s = 5:2) 7\45 (186.7 ¢)
Hard (L:s = 3:1) 4\25 (192.0 ¢)
Superhard (L:s = 4:1) 5\30 (200.0 ¢)
Collapsed (L:s = 1:0) 1\5 (240.0 ¢)
ViewTalkEdit

5L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 10 small steps, with a period of 1 large step and 2 small steps that repeats every 240.0 ¢, or 5 times every octave. 5L 10s is a child scale of 5L 5s, expanding it by 5 tones. Generators that produce this scale range from 160 ¢ to 240 ¢, or from 0 ¢ to 80 ¢.

Modes

Modes of 5L 10s
UDP Cyclic
order
Step
pattern
10|0(5) 1 LssLssLssLssLss
5|5(5) 3 sLssLssLssLssLs
0|10(5) 2 ssLssLssLssLssL

Tuning spectrum

Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see 10L 5s )

generator L s L/s gen (cents) comment
0\5 1 0 0.000
1\60 10 1 10.000 20.000 Pental is around here
1\55 9 1 9.000 21.818
1\50 8 1 8.000 24.000
2\95 15 2 7.500 25.263
1\45 7 1 7.000 26.667
2\85 13 2 6.500 28.235
1\40 6 1 6.000 30.000
2\75 11 2 5.500 32.000
1\35 5 1 5.000 34.286
2\65 9 2 4.500 36.923 Quint is around here
3\95 13 3 4.333 37.895
1\30 4 1 4.000 40.000
3\85 11 3 3.667 42.353
2\55 7 2 3.500 43.636
3\80 10 3 3.333 45.000
1\25 3 1 3.000 48.000
4\95 11 4 2.750 50.526
3\70 8 3 2.667 51.429
2\45 5 2 2.500 53.333
3\65 7 3 2.333 55.385
4\85 9 4 2.250 56.471
1\20 2 1 2.000 60.000
5\95 9 5 1.800 63.158
4\75 7 4 1.750 64.000
3\55 5 3 1.667 65.455
5\90 8 5 1.600 66.667
2\35 3 2 1.500 68.571
5\85 7 5 1.400 70.588
3\50 4 3 1.333 72.000
4\65 5 4 1.250 73.846 Coblack, Trisedodge, Countdown are around here
5\80 6 5 1.200 75.000
6\95 7 6 1.167 75.789
7\110 8 7 1.143 76.364
8\125 9 8 1.125 76.800
9\140 10 9 1.111 77.143
1\15 1 1 1.000 80.000