10L 1s
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Scale structure
Step pattern
LLLLLLLLLLs
sLLLLLLLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
1\11 to 1\10 (109.1¢ to 120.0¢)
Dark
9\10 to 10\11 (1080.0¢ to 1090.9¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
1L 9s
Sister
1L 10s
Daughters
11L 10s, 10L 11s
Neutralized
9L 2s
2-Flought
21L 1s, 10L 12s
Equal tunings
Equalized (L:s = 1:1)
1\11 (109.1¢)
Supersoft (L:s = 4:3)
4\43 (111.6¢)
Soft (L:s = 3:2)
3\32 (112.5¢)
Semisoft (L:s = 5:3)
5\53 (113.2¢)
Basic (L:s = 2:1)
2\21 (114.3¢)
Semihard (L:s = 5:2)
5\52 (115.4¢)
Hard (L:s = 3:1)
3\31 (116.1¢)
Superhard (L:s = 4:1)
4\41 (117.1¢)
Collapsed (L:s = 1:0)
1\10 (120.0¢)
| ← 9L 1s | 10L 1s | 11L 1s → |
| ↙ 9L 2s | ↓ 10L 2s | 11L 2s ↘ |
┌╥╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLLLLLL
10L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 1 small step, repeating every octave. 10L 1s is a child scale of 1L 9s, expanding it by 1 tones. Generators that produce this scale range from 109.1¢ to 120¢, or from 1080¢ to 1090.9¢. Scales of this form are always proper because there is only one small step. This MOS functions as the superdiatonic scale [clarification needed ] of Miracle temperment.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 10|0 | 1 | LLLLLLLLLLs |
| 9|1 | 2 | LLLLLLLLLsL |
| 8|2 | 3 | LLLLLLLLsLL |
| 7|3 | 4 | LLLLLLLsLLL |
| 6|4 | 5 | LLLLLLsLLLL |
| 5|5 | 6 | LLLLLsLLLLL |
| 4|6 | 7 | LLLLsLLLLLL |
| 3|7 | 8 | LLLsLLLLLLL |
| 2|8 | 9 | LLsLLLLLLLL |
| 1|9 | 10 | LsLLLLLLLLL |
| 0|10 | 11 | sLLLLLLLLLL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Diminished 1-mosstep | d1ms | s | 0.0¢ to 109.1¢ |
| Perfect 1-mosstep | P1ms | L | 109.1¢ to 120.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 120.0¢ to 218.2¢ |
| Major 2-mosstep | M2ms | 2L | 218.2¢ to 240.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 240.0¢ to 327.3¢ |
| Major 3-mosstep | M3ms | 3L | 327.3¢ to 360.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 3L + s | 360.0¢ to 436.4¢ |
| Major 4-mosstep | M4ms | 4L | 436.4¢ to 480.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 4L + s | 480.0¢ to 545.5¢ |
| Major 5-mosstep | M5ms | 5L | 545.5¢ to 600.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 5L + s | 600.0¢ to 654.5¢ |
| Major 6-mosstep | M6ms | 6L | 654.5¢ to 720.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 6L + s | 720.0¢ to 763.6¢ |
| Major 7-mosstep | M7ms | 7L | 763.6¢ to 840.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 7L + s | 840.0¢ to 872.7¢ |
| Major 8-mosstep | M8ms | 8L | 872.7¢ to 960.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 8L + s | 960.0¢ to 981.8¢ |
| Major 9-mosstep | M9ms | 9L | 981.8¢ to 1080.0¢ | |
| 10-mosstep | Perfect 10-mosstep | P10ms | 9L + s | 1080.0¢ to 1090.9¢ |
| Augmented 10-mosstep | A10ms | 10L | 1090.9¢ to 1200.0¢ | |
| 11-mosstep | Perfect 11-mosstep | P11ms | 10L + s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\11 | 109.091 | 1090.909 | 1:1 | 1.000 | Equalized 10L 1s | |||||
| 6\65 | 110.769 | 1089.231 | 6:5 | 1.200 | ||||||
| 5\54 | 111.111 | 1088.889 | 5:4 | 1.250 | ||||||
| 9\97 | 111.340 | 1088.660 | 9:7 | 1.286 | ||||||
| 4\43 | 111.628 | 1088.372 | 4:3 | 1.333 | Supersoft 10L 1s | |||||
| 11\118 | 111.864 | 1088.136 | 11:8 | 1.375 | ||||||
| 7\75 | 112.000 | 1088.000 | 7:5 | 1.400 | ||||||
| 10\107 | 112.150 | 1087.850 | 10:7 | 1.429 | ||||||
| 3\32 | 112.500 | 1087.500 | 3:2 | 1.500 | Soft 10L 1s | |||||
| 11\117 | 112.821 | 1087.179 | 11:7 | 1.571 | ||||||
| 8\85 | 112.941 | 1087.059 | 8:5 | 1.600 | ||||||
| 13\138 | 113.043 | 1086.957 | 13:8 | 1.625 | ||||||
| 5\53 | 113.208 | 1086.792 | 5:3 | 1.667 | Semisoft 10L 1s | |||||
| 12\127 | 113.386 | 1086.614 | 12:7 | 1.714 | ||||||
| 7\74 | 113.514 | 1086.486 | 7:4 | 1.750 | ||||||
| 9\95 | 113.684 | 1086.316 | 9:5 | 1.800 | ||||||
| 2\21 | 114.286 | 1085.714 | 2:1 | 2.000 | Basic 10L 1s Simplest tuning for miracle | |||||
| 9\94 | 114.894 | 1085.106 | 9:4 | 2.250 | ||||||
| 7\73 | 115.068 | 1084.932 | 7:3 | 2.333 | ||||||
| 12\125 | 115.200 | 1084.800 | 12:5 | 2.400 | ||||||
| 5\52 | 115.385 | 1084.615 | 5:2 | 2.500 | Semihard 10L 1s | |||||
| 13\135 | 115.556 | 1084.444 | 13:5 | 2.600 | ||||||
| 8\83 | 115.663 | 1084.337 | 8:3 | 2.667 | ||||||
| 11\114 | 115.789 | 1084.211 | 11:4 | 2.750 | ||||||
| 3\31 | 116.129 | 1083.871 | 3:1 | 3.000 | Hard 10L 1s | |||||
| 10\103 | 116.505 | 1083.495 | 10:3 | 3.333 | ||||||
| 7\72 | 116.667 | 1083.333 | 7:2 | 3.500 | Miracle | |||||
| 11\113 | 116.814 | 1083.186 | 11:3 | 3.667 | ||||||
| 4\41 | 117.073 | 1082.927 | 4:1 | 4.000 | Superhard 10L 1s | |||||
| 9\92 | 117.391 | 1082.609 | 9:2 | 4.500 | ||||||
| 5\51 | 117.647 | 1082.353 | 5:1 | 5.000 | ||||||
| 6\61 | 118.033 | 1081.967 | 6:1 | 6.000 | ||||||
| 1\10 | 120.000 | 1080.000 | 1:0 | → ∞ | Collapsed 10L 1s | |||||