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)
Ancestor's 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
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¢)
| ↖ 4L 9s | ↑ 5L 9s | 6L 9s ↗ |
| ← 4L 10s | 5L 10s | 6L 10s → |
| ↙ 4L 11s | ↓ 5L 11s | 6L 11s ↘ |
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║││║│││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLssLssL
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 | Cyclic order |
Step pattern |
|---|---|---|
| 10|0(5) | 1 | LssLssLssLssLss |
| 5|5(5) | 3 | sLssLssLssLssLs |
| 0|10(5) | 2 | ssLssLssLssLssL |
Tuning spectrum
 |
Todo: review Review entries from past page revision and enter them into the scale tree. |
Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see 10L 5s )
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\15 | 160.000 | 80.000 | 1:1 | 1.000 | Equalized 5L 10s | |||||
| 11\80 | 165.000 | 75.000 | 6:5 | 1.200 | ||||||
| 9\65 | 166.154 | 73.846 | 5:4 | 1.250 | ||||||
| 16\115 | 166.957 | 73.043 | 9:7 | 1.286 | ||||||
| 7\50 | 168.000 | 72.000 | 4:3 | 1.333 | Supersoft 5L 10s | |||||
| 19\135 | 168.889 | 71.111 | 11:8 | 1.375 | ||||||
| 12\85 | 169.412 | 70.588 | 7:5 | 1.400 | ||||||
| 17\120 | 170.000 | 70.000 | 10:7 | 1.429 | ||||||
| 5\35 | 171.429 | 68.571 | 3:2 | 1.500 | Soft 5L 10s | |||||
| 18\125 | 172.800 | 67.200 | 11:7 | 1.571 | ||||||
| 13\90 | 173.333 | 66.667 | 8:5 | 1.600 | ||||||
| 21\145 | 173.793 | 66.207 | 13:8 | 1.625 | ||||||
| 8\55 | 174.545 | 65.455 | 5:3 | 1.667 | Semisoft 5L 10s | |||||
| 19\130 | 175.385 | 64.615 | 12:7 | 1.714 | ||||||
| 11\75 | 176.000 | 64.000 | 7:4 | 1.750 | ||||||
| 14\95 | 176.842 | 63.158 | 9:5 | 1.800 | ||||||
| 3\20 | 180.000 | 60.000 | 2:1 | 2.000 | Basic 5L 10s Scales with tunings softer than this are proper | |||||
| 13\85 | 183.529 | 56.471 | 9:4 | 2.250 | ||||||
| 10\65 | 184.615 | 55.385 | 7:3 | 2.333 | ||||||
| 17\110 | 185.455 | 54.545 | 12:5 | 2.400 | ||||||
| 7\45 | 186.667 | 53.333 | 5:2 | 2.500 | Semihard 5L 10s | |||||
| 18\115 | 187.826 | 52.174 | 13:5 | 2.600 | ||||||
| 11\70 | 188.571 | 51.429 | 8:3 | 2.667 | ||||||
| 15\95 | 189.474 | 50.526 | 11:4 | 2.750 | ||||||
| 4\25 | 192.000 | 48.000 | 3:1 | 3.000 | Hard 5L 10s | |||||
| 13\80 | 195.000 | 45.000 | 10:3 | 3.333 | ||||||
| 9\55 | 196.364 | 43.636 | 7:2 | 3.500 | ||||||
| 14\85 | 197.647 | 42.353 | 11:3 | 3.667 | ||||||
| 5\30 | 200.000 | 40.000 | 4:1 | 4.000 | Superhard 5L 10s | |||||
| 11\65 | 203.077 | 36.923 | 9:2 | 4.500 | ||||||
| 6\35 | 205.714 | 34.286 | 5:1 | 5.000 | ||||||
| 7\40 | 210.000 | 30.000 | 6:1 | 6.000 | ||||||
| 1\5 | 240.000 | 0.000 | 1:0 | → ∞ | Collapsed 5L 10s | |||||