6L 9s
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Scale structure
Step pattern
LsLssLsLssLsLss
ssLsLssLsLssLsL
Equave
2/1 (1200.0¢)
Period
1\3 (400.0¢)
Generator size
Bright
2\15 to 1\6 (160.0¢ to 200.0¢)
Dark
1\6 to 3\15 (200.0¢ to 240.0¢)
TAMNAMS information
Descends from
6L 3s (hyrulic)
Ancestor's step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
6L 3s
Sister
9L 6s
Daughters
15L 6s, 6L 15s
Neutralized
12L 3s
2-Flought
21L 9s, 6L 24s
Equal tunings
Equalized (L:s = 1:1)
2\15 (160.0¢)
Supersoft (L:s = 4:3)
7\51 (164.7¢)
Soft (L:s = 3:2)
5\36 (166.7¢)
Semisoft (L:s = 5:3)
8\57 (168.4¢)
Basic (L:s = 2:1)
3\21 (171.4¢)
Semihard (L:s = 5:2)
7\48 (175.0¢)
Hard (L:s = 3:1)
4\27 (177.8¢)
Superhard (L:s = 4:1)
5\33 (181.8¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 8s | ↑ 6L 8s | 7L 8s ↗ |
| ← 5L 9s | 6L 9s | 7L 9s → |
| ↙ 5L 10s | ↓ 6L 10s | 7L 10s ↘ |
┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬┐ │║│║││║│║││║│║│││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLssLsLssLsL
6L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 9 small steps, with a period of 2 large steps and 3 small steps that repeats every 400.0¢, or 3 times every octave. 6L 9s is a child scale of 6L 3s, expanding it by 6 tones. Generators that produce this scale range from 160¢ to 200¢, or from 200¢ to 240¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 12|0(3) | 1 | LsLssLsLssLsLss |
| 9|3(3) | 3 | LssLsLssLsLssLs |
| 6|6(3) | 5 | sLsLssLsLssLsLs |
| 3|9(3) | 2 | sLssLsLssLsLssL |
| 0|12(3) | 4 | ssLsLssLsLssLsL |
Tuning spectrum
 |
Todo: review Review entries from past page revision and enter them into the scale tree. |
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\15 | 160.000 | 240.000 | 1:1 | 1.000 | Equalized 6L 9s | |||||
| 11\81 | 162.963 | 237.037 | 6:5 | 1.200 | ||||||
| 9\66 | 163.636 | 236.364 | 5:4 | 1.250 | ||||||
| 16\117 | 164.103 | 235.897 | 9:7 | 1.286 | ||||||
| 7\51 | 164.706 | 235.294 | 4:3 | 1.333 | Supersoft 6L 9s | |||||
| 19\138 | 165.217 | 234.783 | 11:8 | 1.375 | ||||||
| 12\87 | 165.517 | 234.483 | 7:5 | 1.400 | ||||||
| 17\123 | 165.854 | 234.146 | 10:7 | 1.429 | ||||||
| 5\36 | 166.667 | 233.333 | 3:2 | 1.500 | Soft 6L 9s | |||||
| 18\129 | 167.442 | 232.558 | 11:7 | 1.571 | ||||||
| 13\93 | 167.742 | 232.258 | 8:5 | 1.600 | ||||||
| 21\150 | 168.000 | 232.000 | 13:8 | 1.625 | ||||||
| 8\57 | 168.421 | 231.579 | 5:3 | 1.667 | Semisoft 6L 9s | |||||
| 19\135 | 168.889 | 231.111 | 12:7 | 1.714 | ||||||
| 11\78 | 169.231 | 230.769 | 7:4 | 1.750 | ||||||
| 14\99 | 169.697 | 230.303 | 9:5 | 1.800 | ||||||
| 3\21 | 171.429 | 228.571 | 2:1 | 2.000 | Basic 6L 9s Scales with tunings softer than this are proper | |||||
| 13\90 | 173.333 | 226.667 | 9:4 | 2.250 | ||||||
| 10\69 | 173.913 | 226.087 | 7:3 | 2.333 | ||||||
| 17\117 | 174.359 | 225.641 | 12:5 | 2.400 | ||||||
| 7\48 | 175.000 | 225.000 | 5:2 | 2.500 | Semihard 6L 9s | |||||
| 18\123 | 175.610 | 224.390 | 13:5 | 2.600 | ||||||
| 11\75 | 176.000 | 224.000 | 8:3 | 2.667 | ||||||
| 15\102 | 176.471 | 223.529 | 11:4 | 2.750 | ||||||
| 4\27 | 177.778 | 222.222 | 3:1 | 3.000 | Hard 6L 9s | |||||
| 13\87 | 179.310 | 220.690 | 10:3 | 3.333 | ||||||
| 9\60 | 180.000 | 220.000 | 7:2 | 3.500 | ||||||
| 14\93 | 180.645 | 219.355 | 11:3 | 3.667 | ||||||
| 5\33 | 181.818 | 218.182 | 4:1 | 4.000 | Superhard 6L 9s | |||||
| 11\72 | 183.333 | 216.667 | 9:2 | 4.500 | ||||||
| 6\39 | 184.615 | 215.385 | 5:1 | 5.000 | ||||||
| 7\45 | 186.667 | 213.333 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 200.000 | 1:0 | → ∞ | Collapsed 6L 9s | |||||