19L 11s: 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; remove modes (mos too big breaks formatting) |
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{{Infobox MOS}} | {{Infobox MOS}} | ||
{{MOS intro}} | {{MOS intro}} | ||
== | == Intervals == | ||
{{MOS | {{MOS intervals}} | ||
== Scale tree == | == Scale tree == | ||
{{Scale tree}}{{Stub}} | {{Scale tree}} | ||
{{Stub}} | |||
Revision as of 00:29, 15 December 2024
| ↖ 18L 10s | ↑ 19L 10s | 20L 10s ↗ |
| ← 18L 11s | 19L 11s | 20L 11s → |
| ↙ 18L 12s | ↓ 19L 12s | 20L 12s ↘ |
Scale structure
sLsLLsLLsLsLLsLLsLLsLsLLsLLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
19L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 11 small steps, repeating every octave. 19L 11s is a great-grandchild scale of 3L 5s, expanding it by 22 tones. Generators that produce this scale range from 440 ¢ to 442.1 ¢, or from 757.9 ¢ to 760 ¢.
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 40.0 ¢ |
| Major 1-mosstep | M1ms | L | 40.0 ¢ to 63.2 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 63.2 ¢ to 80.0 ¢ |
| Major 2-mosstep | M2ms | 2L | 80.0 ¢ to 126.3 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 63.2 ¢ to 120.0 ¢ |
| Major 3-mosstep | M3ms | 2L + s | 120.0 ¢ to 126.3 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 126.3 ¢ to 160.0 ¢ |
| Major 4-mosstep | M4ms | 3L + s | 160.0 ¢ to 189.5 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 189.5 ¢ to 200.0 ¢ |
| Major 5-mosstep | M5ms | 4L + s | 200.0 ¢ to 252.6 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 189.5 ¢ to 240.0 ¢ |
| Major 6-mosstep | M6ms | 4L + 2s | 240.0 ¢ to 252.6 ¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 4L + 3s | 252.6 ¢ to 280.0 ¢ |
| Major 7-mosstep | M7ms | 5L + 2s | 280.0 ¢ to 315.8 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 5L + 3s | 315.8 ¢ to 320.0 ¢ |
| Major 8-mosstep | M8ms | 6L + 2s | 320.0 ¢ to 378.9 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 5L + 4s | 315.8 ¢ to 360.0 ¢ |
| Major 9-mosstep | M9ms | 6L + 3s | 360.0 ¢ to 378.9 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 6L + 4s | 378.9 ¢ to 400.0 ¢ |
| Major 10-mosstep | M10ms | 7L + 3s | 400.0 ¢ to 442.1 ¢ | |
| 11-mosstep | Diminished 11-mosstep | d11ms | 6L + 5s | 378.9 ¢ to 440.0 ¢ |
| Perfect 11-mosstep | P11ms | 7L + 4s | 440.0 ¢ to 442.1 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 7L + 5s | 442.1 ¢ to 480.0 ¢ |
| Major 12-mosstep | M12ms | 8L + 4s | 480.0 ¢ to 505.3 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 8L + 5s | 505.3 ¢ to 520.0 ¢ |
| Major 13-mosstep | M13ms | 9L + 4s | 520.0 ¢ to 568.4 ¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 8L + 6s | 505.3 ¢ to 560.0 ¢ |
| Major 14-mosstep | M14ms | 9L + 5s | 560.0 ¢ to 568.4 ¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 9L + 6s | 568.4 ¢ to 600.0 ¢ |
| Major 15-mosstep | M15ms | 10L + 5s | 600.0 ¢ to 631.6 ¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 10L + 6s | 631.6 ¢ to 640.0 ¢ |
| Major 16-mosstep | M16ms | 11L + 5s | 640.0 ¢ to 694.7 ¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 10L + 7s | 631.6 ¢ to 680.0 ¢ |
| Major 17-mosstep | M17ms | 11L + 6s | 680.0 ¢ to 694.7 ¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 11L + 7s | 694.7 ¢ to 720.0 ¢ |
| Major 18-mosstep | M18ms | 12L + 6s | 720.0 ¢ to 757.9 ¢ | |
| 19-mosstep | Perfect 19-mosstep | P19ms | 12L + 7s | 757.9 ¢ to 760.0 ¢ |
| Augmented 19-mosstep | A19ms | 13L + 6s | 760.0 ¢ to 821.1 ¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 12L + 8s | 757.9 ¢ to 800.0 ¢ |
| Major 20-mosstep | M20ms | 13L + 7s | 800.0 ¢ to 821.1 ¢ | |
| 21-mosstep | Minor 21-mosstep | m21ms | 13L + 8s | 821.1 ¢ to 840.0 ¢ |
| Major 21-mosstep | M21ms | 14L + 7s | 840.0 ¢ to 884.2 ¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 13L + 9s | 821.1 ¢ to 880.0 ¢ |
| Major 22-mosstep | M22ms | 14L + 8s | 880.0 ¢ to 884.2 ¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 14L + 9s | 884.2 ¢ to 920.0 ¢ |
| Major 23-mosstep | M23ms | 15L + 8s | 920.0 ¢ to 947.4 ¢ | |
| 24-mosstep | Minor 24-mosstep | m24ms | 15L + 9s | 947.4 ¢ to 960.0 ¢ |
| Major 24-mosstep | M24ms | 16L + 8s | 960.0 ¢ to 1010.5 ¢ | |
| 25-mosstep | Minor 25-mosstep | m25ms | 15L + 10s | 947.4 ¢ to 1000.0 ¢ |
| Major 25-mosstep | M25ms | 16L + 9s | 1000.0 ¢ to 1010.5 ¢ | |
| 26-mosstep | Minor 26-mosstep | m26ms | 16L + 10s | 1010.5 ¢ to 1040.0 ¢ |
| Major 26-mosstep | M26ms | 17L + 9s | 1040.0 ¢ to 1073.7 ¢ | |
| 27-mosstep | Minor 27-mosstep | m27ms | 17L + 10s | 1073.7 ¢ to 1080.0 ¢ |
| Major 27-mosstep | M27ms | 18L + 9s | 1080.0 ¢ to 1136.8 ¢ | |
| 28-mosstep | Minor 28-mosstep | m28ms | 17L + 11s | 1073.7 ¢ to 1120.0 ¢ |
| Major 28-mosstep | M28ms | 18L + 10s | 1120.0 ¢ to 1136.8 ¢ | |
| 29-mosstep | Minor 29-mosstep | m29ms | 18L + 11s | 1136.8 ¢ to 1160.0 ¢ |
| Major 29-mosstep | M29ms | 19L + 10s | 1160.0 ¢ to 1200.0 ¢ | |
| 30-mosstep | Perfect 30-mosstep | P30ms | 19L + 11s | 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 | |||||||
| 11\30 | 440.000 | 760.000 | 1:1 | 1.000 | Equalized 19L 11s | |||||
| 62\169 | 440.237 | 759.763 | 6:5 | 1.200 | ||||||
| 51\139 | 440.288 | 759.712 | 5:4 | 1.250 | ||||||
| 91\248 | 440.323 | 759.677 | 9:7 | 1.286 | ||||||
| 40\109 | 440.367 | 759.633 | 4:3 | 1.333 | Supersoft 19L 11s | |||||
| 109\297 | 440.404 | 759.596 | 11:8 | 1.375 | ||||||
| 69\188 | 440.426 | 759.574 | 7:5 | 1.400 | ||||||
| 98\267 | 440.449 | 759.551 | 10:7 | 1.429 | ||||||
| 29\79 | 440.506 | 759.494 | 3:2 | 1.500 | Soft 19L 11s | |||||
| 105\286 | 440.559 | 759.441 | 11:7 | 1.571 | ||||||
| 76\207 | 440.580 | 759.420 | 8:5 | 1.600 | ||||||
| 123\335 | 440.597 | 759.403 | 13:8 | 1.625 | ||||||
| 47\128 | 440.625 | 759.375 | 5:3 | 1.667 | Semisoft 19L 11s | |||||
| 112\305 | 440.656 | 759.344 | 12:7 | 1.714 | ||||||
| 65\177 | 440.678 | 759.322 | 7:4 | 1.750 | ||||||
| 83\226 | 440.708 | 759.292 | 9:5 | 1.800 | ||||||
| 18\49 | 440.816 | 759.184 | 2:1 | 2.000 | Basic 19L 11s Scales with tunings softer than this are proper | |||||
| 79\215 | 440.930 | 759.070 | 9:4 | 2.250 | ||||||
| 61\166 | 440.964 | 759.036 | 7:3 | 2.333 | ||||||
| 104\283 | 440.989 | 759.011 | 12:5 | 2.400 | ||||||
| 43\117 | 441.026 | 758.974 | 5:2 | 2.500 | Semihard 19L 11s | |||||
| 111\302 | 441.060 | 758.940 | 13:5 | 2.600 | ||||||
| 68\185 | 441.081 | 758.919 | 8:3 | 2.667 | ||||||
| 93\253 | 441.107 | 758.893 | 11:4 | 2.750 | ||||||
| 25\68 | 441.176 | 758.824 | 3:1 | 3.000 | Hard 19L 11s | |||||
| 82\223 | 441.256 | 758.744 | 10:3 | 3.333 | ||||||
| 57\155 | 441.290 | 758.710 | 7:2 | 3.500 | ||||||
| 89\242 | 441.322 | 758.678 | 11:3 | 3.667 | ||||||
| 32\87 | 441.379 | 758.621 | 4:1 | 4.000 | Superhard 19L 11s | |||||
| 71\193 | 441.451 | 758.549 | 9:2 | 4.500 | ||||||
| 39\106 | 441.509 | 758.491 | 5:1 | 5.000 | ||||||
| 46\125 | 441.600 | 758.400 | 6:1 | 6.000 | ||||||
| 7\19 | 442.105 | 757.895 | 1:0 | → ∞ | Collapsed 19L 11s | |||||
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