6L 8s
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Scale structure
Step pattern
LsLsLssLsLsLss
ssLsLsLssLsLsL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
2\14 to 1\6 (171.4¢ to 200.0¢)
Dark
2\6 to 5\14 (400.0¢ to 428.6¢)
TAMNAMS information
Descends from
6L 2s
Ancestor's step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
6L 2s
Sister
8L 6s
Daughters
14L 6s, 6L 14s
Neutralized
12L 2s
2-Flought
20L 8s, 6L 22s
Equal tunings
Equalized (L:s = 1:1)
2\14 (171.4¢)
Supersoft (L:s = 4:3)
7\48 (175.0¢)
Soft (L:s = 3:2)
5\34 (176.5¢)
Semisoft (L:s = 5:3)
8\54 (177.8¢)
Basic (L:s = 2:1)
3\20 (180.0¢)
Semihard (L:s = 5:2)
7\46 (182.6¢)
Hard (L:s = 3:1)
4\26 (184.6¢)
Superhard (L:s = 4:1)
5\32 (187.5¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 7s | ↑ 6L 7s | 7L 7s ↗ |
| ← 5L 8s | 6L 8s | 7L 8s → |
| ↙ 5L 9s | ↓ 6L 9s | 7L 9s ↘ |
┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬┐ │║│║│║││║│║│║│││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLssLsLsL
6L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 8 small steps, with a period of 3 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 6L 8s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 171.4¢ to 200¢, or from 400¢ to 428.6¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 12|0(2) | 1 | LsLsLssLsLsLss |
| 10|2(2) | 3 | LsLssLsLsLssLs |
| 8|4(2) | 5 | LssLsLsLssLsLs |
| 6|6(2) | 7 | sLsLsLssLsLsLs |
| 4|8(2) | 2 | sLsLssLsLsLssL |
| 2|10(2) | 4 | sLssLsLsLssLsL |
| 0|12(2) | 6 | ssLsLsLssLsLsL |
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 85.7¢ |
| Major 1-mosstep | M1ms | L | 85.7¢ to 200.0¢ | |
| 2-mosstep | Diminished 2-mosstep | d2ms | 2s | 0.0¢ to 171.4¢ |
| Perfect 2-mosstep | P2ms | L + s | 171.4¢ to 200.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 200.0¢ to 257.1¢ |
| Major 3-mosstep | M3ms | 2L + s | 257.1¢ to 400.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | L + 3s | 200.0¢ to 342.9¢ |
| Major 4-mosstep | M4ms | 2L + 2s | 342.9¢ to 400.0¢ | |
| 5-mosstep | Perfect 5-mosstep | P5ms | 2L + 3s | 400.0¢ to 428.6¢ |
| Augmented 5-mosstep | A5ms | 3L + 2s | 428.6¢ to 600.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 2L + 4s | 400.0¢ to 514.3¢ |
| Major 6-mosstep | M6ms | 3L + 3s | 514.3¢ to 600.0¢ | |
| 7-mosstep | Perfect 7-mosstep | P7ms | 3L + 4s | 600.0¢ |
| 8-mosstep | Minor 8-mosstep | m8ms | 3L + 5s | 600.0¢ to 685.7¢ |
| Major 8-mosstep | M8ms | 4L + 4s | 685.7¢ to 800.0¢ | |
| 9-mosstep | Diminished 9-mosstep | d9ms | 3L + 6s | 600.0¢ to 771.4¢ |
| Perfect 9-mosstep | P9ms | 4L + 5s | 771.4¢ to 800.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 4L + 6s | 800.0¢ to 857.1¢ |
| Major 10-mosstep | M10ms | 5L + 5s | 857.1¢ to 1000.0¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 4L + 7s | 800.0¢ to 942.9¢ |
| Major 11-mosstep | M11ms | 5L + 6s | 942.9¢ to 1000.0¢ | |
| 12-mosstep | Perfect 12-mosstep | P12ms | 5L + 7s | 1000.0¢ to 1028.6¢ |
| Augmented 12-mosstep | A12ms | 6L + 6s | 1028.6¢ to 1200.0¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 5L + 8s | 1000.0¢ to 1114.3¢ |
| Major 13-mosstep | M13ms | 6L + 7s | 1114.3¢ to 1200.0¢ | |
| 14-mosstep | Perfect 14-mosstep | P14ms | 6L + 8s | 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\14 | 171.429 | 428.571 | 1:1 | 1.000 | Equalized 6L 8s | |||||
| 11\76 | 173.684 | 426.316 | 6:5 | 1.200 | ||||||
| 9\62 | 174.194 | 425.806 | 5:4 | 1.250 | ||||||
| 16\110 | 174.545 | 425.455 | 9:7 | 1.286 | ||||||
| 7\48 | 175.000 | 425.000 | 4:3 | 1.333 | Supersoft 6L 8s | |||||
| 19\130 | 175.385 | 424.615 | 11:8 | 1.375 | ||||||
| 12\82 | 175.610 | 424.390 | 7:5 | 1.400 | ||||||
| 17\116 | 175.862 | 424.138 | 10:7 | 1.429 | ||||||
| 5\34 | 176.471 | 423.529 | 3:2 | 1.500 | Soft 6L 8s | |||||
| 18\122 | 177.049 | 422.951 | 11:7 | 1.571 | ||||||
| 13\88 | 177.273 | 422.727 | 8:5 | 1.600 | ||||||
| 21\142 | 177.465 | 422.535 | 13:8 | 1.625 | ||||||
| 8\54 | 177.778 | 422.222 | 5:3 | 1.667 | Semisoft 6L 8s | |||||
| 19\128 | 178.125 | 421.875 | 12:7 | 1.714 | ||||||
| 11\74 | 178.378 | 421.622 | 7:4 | 1.750 | ||||||
| 14\94 | 178.723 | 421.277 | 9:5 | 1.800 | ||||||
| 3\20 | 180.000 | 420.000 | 2:1 | 2.000 | Basic 6L 8s Scales with tunings softer than this are proper | |||||
| 13\86 | 181.395 | 418.605 | 9:4 | 2.250 | ||||||
| 10\66 | 181.818 | 418.182 | 7:3 | 2.333 | ||||||
| 17\112 | 182.143 | 417.857 | 12:5 | 2.400 | ||||||
| 7\46 | 182.609 | 417.391 | 5:2 | 2.500 | Semihard 6L 8s | |||||
| 18\118 | 183.051 | 416.949 | 13:5 | 2.600 | ||||||
| 11\72 | 183.333 | 416.667 | 8:3 | 2.667 | ||||||
| 15\98 | 183.673 | 416.327 | 11:4 | 2.750 | ||||||
| 4\26 | 184.615 | 415.385 | 3:1 | 3.000 | Hard 6L 8s | |||||
| 13\84 | 185.714 | 414.286 | 10:3 | 3.333 | ||||||
| 9\58 | 186.207 | 413.793 | 7:2 | 3.500 | ||||||
| 14\90 | 186.667 | 413.333 | 11:3 | 3.667 | ||||||
| 5\32 | 187.500 | 412.500 | 4:1 | 4.000 | Superhard 6L 8s | |||||
| 11\70 | 188.571 | 411.429 | 9:2 | 4.500 | ||||||
| 6\38 | 189.474 | 410.526 | 5:1 | 5.000 | ||||||
| 7\44 | 190.909 | 409.091 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 400.000 | 1:0 | → ∞ | Collapsed 6L 8s | |||||
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