5L 10s
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Brightest mode
LssLssLssLssLss
Period
1\5
Range for bright generator
2\15 (160¢) to 1\5 (240¢)
Range for dark generator
0\5 (0¢) to 1\15 (80¢)
Parent MOS
5L 5s
Sister MOS
10L 5s
Daughter MOSes
15L 5s, 5L 15s
Equal tunings
Supersoft (L:s = 4:3)
7\50 (168¢)
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¢)
Semihard (L:s = 5:2)
7\45 (186.7¢)
Hard (L:s = 3:1)
4\25 (192¢)
Superhard (L:s = 4:1)
5\30 (200¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard
Todo: review
Adopt scale tree template, review entries
↖4L 9s | ↑5L 9s | 6L 9s↗ |
←4L 10s | 5L 10s | 6L 10s→ |
↙4L 11s | ↓5L 11s | 6L 11s↘ |
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
UDP | Rotational 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 |