11L 8s: Difference between revisions
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Replaced no-entries scale tree; stub Tag: Replaced |
m -todo:expand, already stub which is more accurate; add intervals |
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== Modes == | == Modes == | ||
{{MOS modes}} | {{MOS modes}} | ||
== Scale tree== | == Intervals == | ||
{{MOS intervals}} | |||
== Scale tree == | |||
{{Scale tree}} | {{Scale tree}} | ||
{{Stub}} | {{Stub}} | ||
Revision as of 00:18, 15 December 2024
| ↖ 10L 7s | ↑ 11L 7s | 12L 7s ↗ |
| ← 10L 8s | 11L 8s | 12L 8s → |
| ↙ 10L 9s | ↓ 11L 9s | 12L 9s ↘ |
Scale structure
sLsLsLLsLsLsLLsLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9 ¢ to 763.6 ¢, or from 436.4 ¢ to 442.1 ¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LLsLsLLsLsLsLLsLsLs |
| 17|1 | 13 | LLsLsLsLLsLsLLsLsLs |
| 16|2 | 6 | LLsLsLsLLsLsLsLLsLs |
| 15|3 | 18 | LsLLsLsLLsLsLsLLsLs |
| 14|4 | 11 | LsLLsLsLsLLsLsLLsLs |
| 13|5 | 4 | LsLLsLsLsLLsLsLsLLs |
| 12|6 | 16 | LsLsLLsLsLLsLsLsLLs |
| 11|7 | 9 | LsLsLLsLsLsLLsLsLLs |
| 10|8 | 2 | LsLsLLsLsLsLLsLsLsL |
| 9|9 | 14 | LsLsLsLLsLsLLsLsLsL |
| 8|10 | 7 | LsLsLsLLsLsLsLLsLsL |
| 7|11 | 19 | sLLsLsLLsLsLsLLsLsL |
| 6|12 | 12 | sLLsLsLsLLsLsLLsLsL |
| 5|13 | 5 | sLLsLsLsLLsLsLsLLsL |
| 4|14 | 17 | sLsLLsLsLLsLsLsLLsL |
| 3|15 | 10 | sLsLLsLsLsLLsLsLLsL |
| 2|16 | 3 | sLsLLsLsLsLLsLsLsLL |
| 1|17 | 15 | sLsLsLLsLsLLsLsLsLL |
| 0|18 | 8 | sLsLsLLsLsLsLLsLsLL |
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 63.2 ¢ |
| Major 1-mosstep | M1ms | L | 63.2 ¢ to 109.1 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 109.1 ¢ to 126.3 ¢ |
| Major 2-mosstep | M2ms | 2L | 126.3 ¢ to 218.2 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 109.1 ¢ to 189.5 ¢ |
| Major 3-mosstep | M3ms | 2L + s | 189.5 ¢ to 218.2 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 218.2 ¢ to 252.6 ¢ |
| Major 4-mosstep | M4ms | 3L + s | 252.6 ¢ to 327.3 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 218.2 ¢ to 315.8 ¢ |
| Major 5-mosstep | M5ms | 3L + 2s | 315.8 ¢ to 327.3 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 327.3 ¢ to 378.9 ¢ |
| Major 6-mosstep | M6ms | 4L + 2s | 378.9 ¢ to 436.4 ¢ | |
| 7-mosstep | Perfect 7-mosstep | P7ms | 4L + 3s | 436.4 ¢ to 442.1 ¢ |
| Augmented 7-mosstep | A7ms | 5L + 2s | 442.1 ¢ to 545.5 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 4L + 4s | 436.4 ¢ to 505.3 ¢ |
| Major 8-mosstep | M8ms | 5L + 3s | 505.3 ¢ to 545.5 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 5L + 4s | 545.5 ¢ to 568.4 ¢ |
| Major 9-mosstep | M9ms | 6L + 3s | 568.4 ¢ to 654.5 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 5L + 5s | 545.5 ¢ to 631.6 ¢ |
| Major 10-mosstep | M10ms | 6L + 4s | 631.6 ¢ to 654.5 ¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 6L + 5s | 654.5 ¢ to 694.7 ¢ |
| Major 11-mosstep | M11ms | 7L + 4s | 694.7 ¢ to 763.6 ¢ | |
| 12-mosstep | Diminished 12-mosstep | d12ms | 6L + 6s | 654.5 ¢ to 757.9 ¢ |
| Perfect 12-mosstep | P12ms | 7L + 5s | 757.9 ¢ to 763.6 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 7L + 6s | 763.6 ¢ to 821.1 ¢ |
| Major 13-mosstep | M13ms | 8L + 5s | 821.1 ¢ to 872.7 ¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 8L + 6s | 872.7 ¢ to 884.2 ¢ |
| Major 14-mosstep | M14ms | 9L + 5s | 884.2 ¢ to 981.8 ¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 8L + 7s | 872.7 ¢ to 947.4 ¢ |
| Major 15-mosstep | M15ms | 9L + 6s | 947.4 ¢ to 981.8 ¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 9L + 7s | 981.8 ¢ to 1010.5 ¢ |
| Major 16-mosstep | M16ms | 10L + 6s | 1010.5 ¢ to 1090.9 ¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 9L + 8s | 981.8 ¢ to 1073.7 ¢ |
| Major 17-mosstep | M17ms | 10L + 7s | 1073.7 ¢ to 1090.9 ¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 10L + 8s | 1090.9 ¢ to 1136.8 ¢ |
| Major 18-mosstep | M18ms | 11L + 7s | 1136.8 ¢ to 1200.0 ¢ | |
| 19-mosstep | Perfect 19-mosstep | P19ms | 11L + 8s | 1200.0 ¢ |
Scale tree
| Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}
|
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 12\19 | 757.895 | 442.105 | 1:1 | 1.000 | Equalized 11L 8s | |||||
| 67\106 | 758.491 | 441.509 | 6:5 | 1.200 | ||||||
| 55\87 | 758.621 | 441.379 | 5:4 | 1.250 | ||||||
| 98\155 | 758.710 | 441.290 | 9:7 | 1.286 | ||||||
| 43\68 | 758.824 | 441.176 | 4:3 | 1.333 | Supersoft 11L 8s | |||||
| 117\185 | 758.919 | 441.081 | 11:8 | 1.375 | ||||||
| 74\117 | 758.974 | 441.026 | 7:5 | 1.400 | ||||||
| 105\166 | 759.036 | 440.964 | 10:7 | 1.429 | ||||||
| 31\49 | 759.184 | 440.816 | 3:2 | 1.500 | Soft 11L 8s | |||||
| 112\177 | 759.322 | 440.678 | 11:7 | 1.571 | ||||||
| 81\128 | 759.375 | 440.625 | 8:5 | 1.600 | ||||||
| 131\207 | 759.420 | 440.580 | 13:8 | 1.625 | ||||||
| 50\79 | 759.494 | 440.506 | 5:3 | 1.667 | Semisoft 11L 8s | |||||
| 119\188 | 759.574 | 440.426 | 12:7 | 1.714 | ||||||
| 69\109 | 759.633 | 440.367 | 7:4 | 1.750 | ||||||
| 88\139 | 759.712 | 440.288 | 9:5 | 1.800 | ||||||
| 19\30 | 760.000 | 440.000 | 2:1 | 2.000 | Basic 11L 8s Scales with tunings softer than this are proper | |||||
| 83\131 | 760.305 | 439.695 | 9:4 | 2.250 | ||||||
| 64\101 | 760.396 | 439.604 | 7:3 | 2.333 | ||||||
| 109\172 | 760.465 | 439.535 | 12:5 | 2.400 | ||||||
| 45\71 | 760.563 | 439.437 | 5:2 | 2.500 | Semihard 11L 8s | |||||
| 116\183 | 760.656 | 439.344 | 13:5 | 2.600 | ||||||
| 71\112 | 760.714 | 439.286 | 8:3 | 2.667 | ||||||
| 97\153 | 760.784 | 439.216 | 11:4 | 2.750 | ||||||
| 26\41 | 760.976 | 439.024 | 3:1 | 3.000 | Hard 11L 8s | |||||
| 85\134 | 761.194 | 438.806 | 10:3 | 3.333 | ||||||
| 59\93 | 761.290 | 438.710 | 7:2 | 3.500 | ||||||
| 92\145 | 761.379 | 438.621 | 11:3 | 3.667 | ||||||
| 33\52 | 761.538 | 438.462 | 4:1 | 4.000 | Superhard 11L 8s | |||||
| 73\115 | 761.739 | 438.261 | 9:2 | 4.500 | ||||||
| 40\63 | 761.905 | 438.095 | 5:1 | 5.000 | ||||||
| 47\74 | 762.162 | 437.838 | 6:1 | 6.000 | ||||||
| 7\11 | 763.636 | 436.364 | 1:0 | → ∞ | Collapsed 11L 8s | |||||
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