7L 6s
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Scale structure
Step pattern
LLsLsLsLsLsLs
sLsLsLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
11\13 to 6\7 (1015.4¢ to 1028.6¢)
Dark
1\7 to 2\13 (171.4¢ to 184.6¢)
TAMNAMS information
Descends from
6L 1s (archaeotonic)
Ancestor's step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
6L 1s
Sister
6L 7s
Daughters
13L 7s, 7L 13s
Neutralized
1L 12s
2-Flought
20L 6s, 7L 19s
Equal tunings
Equalized (L:s = 1:1)
11\13 (1015.4¢)
Supersoft (L:s = 4:3)
39\46 (1017.4¢)
Soft (L:s = 3:2)
28\33 (1018.2¢)
Semisoft (L:s = 5:3)
45\53 (1018.9¢)
Basic (L:s = 2:1)
17\20 (1020.0¢)
Semihard (L:s = 5:2)
40\47 (1021.3¢)
Hard (L:s = 3:1)
23\27 (1022.2¢)
Superhard (L:s = 4:1)
29\34 (1023.5¢)
Collapsed (L:s = 1:0)
6\7 (1028.6¢)
| ↖ 6L 5s | ↑ 7L 5s | 8L 5s ↗ |
| ← 6L 6s | 7L 6s | 8L 6s → |
| ↙ 6L 7s | ↓ 7L 7s | 8L 7s ↘ |
┌╥╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLL
7L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 6 small steps, repeating every octave. 7L 6s is a child scale of 6L 1s, expanding it by 6 tones. Generators that produce this scale range from 1015.4¢ to 1028.6¢, or from 171.4¢ to 184.6¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 12|0 | 1 | LLsLsLsLsLsLs |
| 11|1 | 12 | LsLLsLsLsLsLs |
| 10|2 | 10 | LsLsLLsLsLsLs |
| 9|3 | 8 | LsLsLsLLsLsLs |
| 8|4 | 6 | LsLsLsLsLLsLs |
| 7|5 | 4 | LsLsLsLsLsLLs |
| 6|6 | 2 | LsLsLsLsLsLsL |
| 5|7 | 13 | sLLsLsLsLsLsL |
| 4|8 | 11 | sLsLLsLsLsLsL |
| 3|9 | 9 | sLsLsLLsLsLsL |
| 2|10 | 7 | sLsLsLsLLsLsL |
| 1|11 | 5 | sLsLsLsLsLLsL |
| 0|12 | 3 | sLsLsLsLsLsLL |
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 92.3¢ |
| Major 1-mosstep | M1ms | L | 92.3¢ to 171.4¢ | |
| 2-mosstep | Perfect 2-mosstep | P2ms | L + s | 171.4¢ to 184.6¢ |
| Augmented 2-mosstep | A2ms | 2L | 184.6¢ to 342.9¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 171.4¢ to 276.9¢ |
| Major 3-mosstep | M3ms | 2L + s | 276.9¢ to 342.9¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 342.9¢ to 369.2¢ |
| Major 4-mosstep | M4ms | 3L + s | 369.2¢ to 514.3¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 342.9¢ to 461.5¢ |
| Major 5-mosstep | M5ms | 3L + 2s | 461.5¢ to 514.3¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 514.3¢ to 553.8¢ |
| Major 6-mosstep | M6ms | 4L + 2s | 553.8¢ to 685.7¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 514.3¢ to 646.2¢ |
| Major 7-mosstep | M7ms | 4L + 3s | 646.2¢ to 685.7¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 4L + 4s | 685.7¢ to 738.5¢ |
| Major 8-mosstep | M8ms | 5L + 3s | 738.5¢ to 857.1¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 4L + 5s | 685.7¢ to 830.8¢ |
| Major 9-mosstep | M9ms | 5L + 4s | 830.8¢ to 857.1¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 5L + 5s | 857.1¢ to 923.1¢ |
| Major 10-mosstep | M10ms | 6L + 4s | 923.1¢ to 1028.6¢ | |
| 11-mosstep | Diminished 11-mosstep | d11ms | 5L + 6s | 857.1¢ to 1015.4¢ |
| Perfect 11-mosstep | P11ms | 6L + 5s | 1015.4¢ to 1028.6¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 6L + 6s | 1028.6¢ to 1107.7¢ |
| Major 12-mosstep | M12ms | 7L + 5s | 1107.7¢ to 1200.0¢ | |
| 13-mosstep | Perfect 13-mosstep | P13ms | 7L + 6s | 1200.0¢ |
Tuning spectrum
 |
Todo: review Review entries from past page revision and enter them into the scale tree. |
Enipucrop range. See also 7L 6s 7L 13s and 13L 7s.
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 11\13 | 1015.385 | 184.615 | 1:1 | 1.000 | Equalized 7L 6s | |||||
| 61\72 | 1016.667 | 183.333 | 6:5 | 1.200 | ||||||
| 50\59 | 1016.949 | 183.051 | 5:4 | 1.250 | ||||||
| 89\105 | 1017.143 | 182.857 | 9:7 | 1.286 | ||||||
| 39\46 | 1017.391 | 182.609 | 4:3 | 1.333 | Supersoft 7L 6s | |||||
| 106\125 | 1017.600 | 182.400 | 11:8 | 1.375 | ||||||
| 67\79 | 1017.722 | 182.278 | 7:5 | 1.400 | ||||||
| 95\112 | 1017.857 | 182.143 | 10:7 | 1.429 | ||||||
| 28\33 | 1018.182 | 181.818 | 3:2 | 1.500 | Soft 7L 6s | |||||
| 101\119 | 1018.487 | 181.513 | 11:7 | 1.571 | ||||||
| 73\86 | 1018.605 | 181.395 | 8:5 | 1.600 | ||||||
| 118\139 | 1018.705 | 181.295 | 13:8 | 1.625 | ||||||
| 45\53 | 1018.868 | 181.132 | 5:3 | 1.667 | Semisoft 7L 6s | |||||
| 107\126 | 1019.048 | 180.952 | 12:7 | 1.714 | ||||||
| 62\73 | 1019.178 | 180.822 | 7:4 | 1.750 | ||||||
| 79\93 | 1019.355 | 180.645 | 9:5 | 1.800 | ||||||
| 17\20 | 1020.000 | 180.000 | 2:1 | 2.000 | Basic 7L 6s Scales with tunings softer than this are proper | |||||
| 74\87 | 1020.690 | 179.310 | 9:4 | 2.250 | ||||||
| 57\67 | 1020.896 | 179.104 | 7:3 | 2.333 | ||||||
| 97\114 | 1021.053 | 178.947 | 12:5 | 2.400 | ||||||
| 40\47 | 1021.277 | 178.723 | 5:2 | 2.500 | Semihard 7L 6s | |||||
| 103\121 | 1021.488 | 178.512 | 13:5 | 2.600 | ||||||
| 63\74 | 1021.622 | 178.378 | 8:3 | 2.667 | ||||||
| 86\101 | 1021.782 | 178.218 | 11:4 | 2.750 | ||||||
| 23\27 | 1022.222 | 177.778 | 3:1 | 3.000 | Hard 7L 6s | |||||
| 75\88 | 1022.727 | 177.273 | 10:3 | 3.333 | ||||||
| 52\61 | 1022.951 | 177.049 | 7:2 | 3.500 | ||||||
| 81\95 | 1023.158 | 176.842 | 11:3 | 3.667 | ||||||
| 29\34 | 1023.529 | 176.471 | 4:1 | 4.000 | Superhard 7L 6s | |||||
| 64\75 | 1024.000 | 176.000 | 9:2 | 4.500 | ||||||
| 35\41 | 1024.390 | 175.610 | 5:1 | 5.000 | ||||||
| 41\48 | 1025.000 | 175.000 | 6:1 | 6.000 | ||||||
| 6\7 | 1028.571 | 171.429 | 1:0 | → ∞ | Collapsed 7L 6s | |||||
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