5L 10s
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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
Descends from
5L 5s (pentawood)
Required step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
5L 5s
Sister
10L 5s
Daughters
15L 5s
5L 15s
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¢)
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↘ |
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║││║│││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLssLssL
5L 15s
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 | ||||||||||