1L 14s
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Scale structure
Step pattern
Lssssssssssssss
ssssssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
14\15 to 1\1 (1120.0¢ to 1200.0¢)
Dark
0\1 to 1\15 (0.0¢ to 80.0¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
6:1 to 1:0
Related MOS scales
Parent
1L 13s
Sister
14L 1s
Daughters
15L 1s, 1L 15s
Neutralized
2L 13s
2-Flought
16L 14s, 1L 29s
Equal tunings
Equalized (L:s = 1:1)
14\15 (1120.0¢)
Supersoft (L:s = 4:3)
43\46 (1121.7¢)
Soft (L:s = 3:2)
29\31 (1122.6¢)
Semisoft (L:s = 5:3)
44\47 (1123.4¢)
Basic (L:s = 2:1)
15\16 (1125.0¢)
Semihard (L:s = 5:2)
31\33 (1127.3¢)
Hard (L:s = 3:1)
16\17 (1129.4¢)
Superhard (L:s = 4:1)
17\18 (1133.3¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑ 1L 13s | 2L 13s ↗ | |
| 1L 14s | 2L 14s → | |
| ↓ 1L 15s | 2L 15s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││││││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssssssssL
1L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 14 small steps, repeating every octave. 1L 14s is related to 1L 9s, expanding it by 5 tones. Generators that produce this scale range from 1120¢ to 1200¢, or from 0¢ to 80¢.
Valentine temperament, with generators around 77.8¢, maps the interval of 3/2 to +9 dark generators.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 14|0 | 1 | Lssssssssssssss |
| 13|1 | 15 | sLsssssssssssss |
| 12|2 | 14 | ssLssssssssssss |
| 11|3 | 13 | sssLsssssssssss |
| 10|4 | 12 | ssssLssssssssss |
| 9|5 | 11 | sssssLsssssssss |
| 8|6 | 10 | ssssssLssssssss |
| 7|7 | 9 | sssssssLsssssss |
| 6|8 | 8 | ssssssssLssssss |
| 5|9 | 7 | sssssssssLsssss |
| 4|10 | 6 | ssssssssssLssss |
| 3|11 | 5 | sssssssssssLsss |
| 2|12 | 4 | ssssssssssssLss |
| 1|13 | 3 | sssssssssssssLs |
| 0|14 | 2 | ssssssssssssssL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Perfect 1-mosstep | P1ms | s | 0.0¢ to 80.0¢ |
| Augmented 1-mosstep | A1ms | L | 80.0¢ to 1200.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 160.0¢ |
| Major 2-mosstep | M2ms | L + s | 160.0¢ to 1200.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 240.0¢ |
| Major 3-mosstep | M3ms | L + 2s | 240.0¢ to 1200.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0¢ to 320.0¢ |
| Major 4-mosstep | M4ms | L + 3s | 320.0¢ to 1200.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 5s | 0.0¢ to 400.0¢ |
| Major 5-mosstep | M5ms | L + 4s | 400.0¢ to 1200.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 6s | 0.0¢ to 480.0¢ |
| Major 6-mosstep | M6ms | L + 5s | 480.0¢ to 1200.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 7s | 0.0¢ to 560.0¢ |
| Major 7-mosstep | M7ms | L + 6s | 560.0¢ to 1200.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 8s | 0.0¢ to 640.0¢ |
| Major 8-mosstep | M8ms | L + 7s | 640.0¢ to 1200.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 9s | 0.0¢ to 720.0¢ |
| Major 9-mosstep | M9ms | L + 8s | 720.0¢ to 1200.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 10s | 0.0¢ to 800.0¢ |
| Major 10-mosstep | M10ms | L + 9s | 800.0¢ to 1200.0¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 11s | 0.0¢ to 880.0¢ |
| Major 11-mosstep | M11ms | L + 10s | 880.0¢ to 1200.0¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 12s | 0.0¢ to 960.0¢ |
| Major 12-mosstep | M12ms | L + 11s | 960.0¢ to 1200.0¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 13s | 0.0¢ to 1040.0¢ |
| Major 13-mosstep | M13ms | L + 12s | 1040.0¢ to 1200.0¢ | |
| 14-mosstep | Diminished 14-mosstep | d14ms | 14s | 0.0¢ to 1120.0¢ |
| Perfect 14-mosstep | P14ms | L + 13s | 1120.0¢ to 1200.0¢ | |
| 15-mosstep | Perfect 15-mosstep | P15ms | L + 14s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 14\15 | 1120.000 | 80.000 | 1:1 | 1.000 | Equalized 1L 14s | |||||
| 71\76 | 1121.053 | 78.947 | 6:5 | 1.200 | ||||||
| 57\61 | 1121.311 | 78.689 | 5:4 | 1.250 | ||||||
| 100\107 | 1121.495 | 78.505 | 9:7 | 1.286 | ||||||
| 43\46 | 1121.739 | 78.261 | 4:3 | 1.333 | Supersoft 1L 14s | |||||
| 115\123 | 1121.951 | 78.049 | 11:8 | 1.375 | ||||||
| 72\77 | 1122.078 | 77.922 | 7:5 | 1.400 | ↕ Valentine | |||||
| 101\108 | 1122.222 | 77.778 | 10:7 | 1.429 | ||||||
| 29\31 | 1122.581 | 77.419 | 3:2 | 1.500 | Soft 1L 14s | |||||
| 102\109 | 1122.936 | 77.064 | 11:7 | 1.571 | ||||||
| 73\78 | 1123.077 | 76.923 | 8:5 | 1.600 | ||||||
| 117\125 | 1123.200 | 76.800 | 13:8 | 1.625 | Unnamed golden tuning | |||||
| 44\47 | 1123.404 | 76.596 | 5:3 | 1.667 | Semisoft 1L 14s | |||||
| 103\110 | 1123.636 | 76.364 | 12:7 | 1.714 | ||||||
| 59\63 | 1123.810 | 76.190 | 7:4 | 1.750 | ||||||
| 74\79 | 1124.051 | 75.949 | 9:5 | 1.800 | ||||||
| 15\16 | 1125.000 | 75.000 | 2:1 | 2.000 | Basic 1L 14s Scales with tunings softer than this are proper | |||||
| 61\65 | 1126.154 | 73.846 | 9:4 | 2.250 | ||||||
| 46\49 | 1126.531 | 73.469 | 7:3 | 2.333 | ||||||
| 77\82 | 1126.829 | 73.171 | 12:5 | 2.400 | ||||||
| 31\33 | 1127.273 | 72.727 | 5:2 | 2.500 | Semihard 1L 14s | |||||
| 78\83 | 1127.711 | 72.289 | 13:5 | 2.600 | Unnamed golden tuning | |||||
| 47\50 | 1128.000 | 72.000 | 8:3 | 2.667 | ||||||
| 63\67 | 1128.358 | 71.642 | 11:4 | 2.750 | ||||||
| 16\17 | 1129.412 | 70.588 | 3:1 | 3.000 | Hard 1L 14s | |||||
| 49\52 | 1130.769 | 69.231 | 10:3 | 3.333 | ||||||
| 33\35 | 1131.429 | 68.571 | 7:2 | 3.500 | ||||||
| 50\53 | 1132.075 | 67.925 | 11:3 | 3.667 | ||||||
| 17\18 | 1133.333 | 66.667 | 4:1 | 4.000 | Superhard 1L 14s | |||||
| 35\37 | 1135.135 | 64.865 | 9:2 | 4.500 | Sycamore, betic | |||||
| 18\19 | 1136.842 | 63.158 | 5:1 | 5.000 | Unicorn, rhinoceros | |||||
| 19\20 | 1140.000 | 60.000 | 6:1 | 6.000 | ↓Hemimiracle | |||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 14s | |||||
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Todo: expand |