4L 15s
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Scale structure
Step pattern
LsssLssssLssssLssss
ssssLssssLssssLsssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
14\19 to 3\4 (884.2¢ to 900.0¢)
Dark
1\4 to 5\19 (300.0¢ to 315.8¢)
TAMNAMS information
Descends from
4L 3s (smitonic)
Related MOS scales
Parent
4L 11s
Sister
15L 4s
Daughters
19L 4s
4L 19s
Equal tunings
Equalized (L:s = 1:1)
14\19 (884.2¢)
Supersoft (L:s = 4:3)
45\61 (885.2¢)
Soft (L:s = 3:2)
31\42 (885.7¢)
Semisoft (L:s = 5:3)
48\65 (886.2¢)
Basic (L:s = 2:1)
17\23 (887.0¢)
Semihard (L:s = 5:2)
37\50 (888.0¢)
Hard (L:s = 3:1)
20\27 (888.9¢)
Superhard (L:s = 4:1)
23\31 (890.3¢)
Collapsed (L:s = 1:0)
3\4 (900.0¢)
| ↖3L 14s | ↑4L 14s | 5L 14s↗ |
| ←3L 15s | 4L 15s | 5L 15s→ |
| ↙3L 16s | ↓4L 16s | 5L 16s↘ |
┌╥┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║│││║││││║││││║│││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssLssssLssssLsssL
4L 19s
4L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 15 small steps, repeating every octave. 4L 15s is a great-grandchild scale of 4L 3s, expanding it by 12 tones. Generators that produce this scale range from 884.2¢ to 900¢, or from 300¢ to 315.8¢.
This scale is associated with myna temperament (pronounced /'maɪnə/), where stacking two bright generators and octave-reducing produces 7/5 (~582¢).
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 14\19 | 884.211 | 315.789 | 1:1 | 1.000 | Equalized 4L 15s | |||||
| 73\99 | 884.848 | 315.152 | 6:5 | 1.200 | ||||||
| 59\80 | 885.000 | 315.000 | 5:4 | 1.250 | ||||||
| 104\141 | 885.106 | 314.894 | 9:7 | 1.286 | ||||||
| 45\61 | 885.246 | 314.754 | 4:3 | 1.333 | Supersoft 4L 15s | |||||
| 121\164 | 885.366 | 314.634 | 11:8 | 1.375 | ||||||
| 76\103 | 885.437 | 314.563 | 7:5 | 1.400 | ||||||
| 107\145 | 885.517 | 314.483 | 10:7 | 1.429 | ||||||
| 31\42 | 885.714 | 314.286 | 3:2 | 1.500 | Soft 4L 15s | |||||
| 110\149 | 885.906 | 314.094 | 11:7 | 1.571 | ||||||
| 79\107 | 885.981 | 314.019 | 8:5 | 1.600 | ||||||
| 127\172 | 886.047 | 313.953 | 13:8 | 1.625 | ||||||
| 48\65 | 886.154 | 313.846 | 5:3 | 1.667 | Semisoft 4L 15s | |||||
| 113\153 | 886.275 | 313.725 | 12:7 | 1.714 | ||||||
| 65\88 | 886.364 | 313.636 | 7:4 | 1.750 | ||||||
| 82\111 | 886.486 | 313.514 | 9:5 | 1.800 | ||||||
| 17\23 | 886.957 | 313.043 | 2:1 | 2.000 | Basic 4L 15s Scales with tunings softer than this are proper | |||||
| 71\96 | 887.500 | 312.500 | 9:4 | 2.250 | ||||||
| 54\73 | 887.671 | 312.329 | 7:3 | 2.333 | ||||||
| 91\123 | 887.805 | 312.195 | 12:5 | 2.400 | ||||||
| 37\50 | 888.000 | 312.000 | 5:2 | 2.500 | Semihard 4L 15s | |||||
| 94\127 | 888.189 | 311.811 | 13:5 | 2.600 | ||||||
| 57\77 | 888.312 | 311.688 | 8:3 | 2.667 | ||||||
| 77\104 | 888.462 | 311.538 | 11:4 | 2.750 | ||||||
| 20\27 | 888.889 | 311.111 | 3:1 | 3.000 | Hard 4L 15s | |||||
| 63\85 | 889.412 | 310.588 | 10:3 | 3.333 | ||||||
| 43\58 | 889.655 | 310.345 | 7:2 | 3.500 | ||||||
| 66\89 | 889.888 | 310.112 | 11:3 | 3.667 | ||||||
| 23\31 | 890.323 | 309.677 | 4:1 | 4.000 | Superhard 4L 15s | |||||
| 49\66 | 890.909 | 309.091 | 9:2 | 4.500 | ||||||
| 26\35 | 891.429 | 308.571 | 5:1 | 5.000 | ||||||
| 29\39 | 892.308 | 307.692 | 6:1 | 6.000 | ||||||
| 3\4 | 900.000 | 300.000 | 1:0 | → ∞ | Collapsed 4L 15s | |||||