1L 14s
Jump to navigation
Jump to search
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)
Required step ratio range
6:1 to 1:0
Related MOS scales
Parent
1L 13s
Sister
14L 1s
Daughters
15L 1s
1L 15s
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 15s
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.
| 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 | ||||||
| 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 | ||||||
| 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 | ||||||
| 18\19 | 1136.842 | 63.158 | 5:1 | 5.000 | ||||||
| 19\20 | 1140.000 | 60.000 | 6:1 | 6.000 | ||||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 14s | |||||