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 |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0¢ to 80.0¢ |
| Major 1-mosstep | M1ms | L | 80.0¢ to 200.0¢ | |
| 2-mosstep | Diminished 2-mosstep | d2ms | 2s | 0.0¢ to 160.0¢ |
| Perfect 2-mosstep | P2ms | L + s | 160.0¢ to 200.0¢ | |
| 3-mosstep | Perfect 3-mosstep | P3ms | L + 2s | 200.0¢ to 240.0¢ |
| Augmented 3-mosstep | A3ms | 2L + s | 240.0¢ to 400.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | L + 3s | 200.0¢ to 320.0¢ |
| Major 4-mosstep | M4ms | 2L + 2s | 320.0¢ to 400.0¢ | |
| 5-mosstep | Perfect 5-mosstep | P5ms | 2L + 3s | 400.0¢ |
| 6-mosstep | Minor 6-mosstep | m6ms | 2L + 4s | 400.0¢ to 480.0¢ |
| Major 6-mosstep | M6ms | 3L + 3s | 480.0¢ to 600.0¢ | |
| 7-mosstep | Diminished 7-mosstep | d7ms | 2L + 5s | 400.0¢ to 560.0¢ |
| Perfect 7-mosstep | P7ms | 3L + 4s | 560.0¢ to 600.0¢ | |
| 8-mosstep | Perfect 8-mosstep | P8ms | 3L + 5s | 600.0¢ to 640.0¢ |
| Augmented 8-mosstep | A8ms | 4L + 4s | 640.0¢ to 800.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 3L + 6s | 600.0¢ to 720.0¢ |
| Major 9-mosstep | M9ms | 4L + 5s | 720.0¢ to 800.0¢ | |
| 10-mosstep | Perfect 10-mosstep | P10ms | 4L + 6s | 800.0¢ |
| 11-mosstep | Minor 11-mosstep | m11ms | 4L + 7s | 800.0¢ to 880.0¢ |
| Major 11-mosstep | M11ms | 5L + 6s | 880.0¢ to 1000.0¢ | |
| 12-mosstep | Diminished 12-mosstep | d12ms | 4L + 8s | 800.0¢ to 960.0¢ |
| Perfect 12-mosstep | P12ms | 5L + 7s | 960.0¢ to 1000.0¢ | |
| 13-mosstep | Perfect 13-mosstep | P13ms | 5L + 8s | 1000.0¢ to 1040.0¢ |
| Augmented 13-mosstep | A13ms | 6L + 7s | 1040.0¢ to 1200.0¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 5L + 9s | 1000.0¢ to 1120.0¢ |
| Major 14-mosstep | M14ms | 6L + 8s | 1120.0¢ to 1200.0¢ | |
| 15-mosstep | Perfect 15-mosstep | P15ms | 6L + 9s | 1200.0¢ |
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 | |||||
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