5L 2s (4/1-equivalent)
Jump to navigation
Jump to search
Scale structure
Step pattern
LLLsLLs
sLLsLLL
Equave
4/1 (2400.0¢)
Period
4/1 (2400.0¢)
Generator size(ed4/1)
Bright
4\7 to 3\5 (1371.4¢ to 1440.0¢)
Dark
2\5 to 3\7 (960.0¢ to 1028.6¢)
Related MOS scales
Parent
2L 3s⟨4/1⟩
Sister
2L 5s⟨4/1⟩
Daughters
7L 5s⟨4/1⟩
5L 7s⟨4/1⟩
Equal tunings(ed4/1)
Equalized (L:s = 1:1)
4\7 (1371.4¢)
Supersoft (L:s = 4:3)
15\26 (1384.6¢)
Soft (L:s = 3:2)
11\19 (1389.5¢)
Semisoft (L:s = 5:3)
18\31 (1393.5¢)
Basic (L:s = 2:1)
7\12 (1400.0¢)
Semihard (L:s = 5:2)
17\29 (1406.9¢)
Hard (L:s = 3:1)
10\17 (1411.8¢)
Superhard (L:s = 4:1)
13\22 (1418.2¢)
Collapsed (L:s = 1:0)
3\5 (1440.0¢)
↖4L 1s⟨4/1⟩ | ↑5L 1s⟨4/1⟩ | 6L 1s⟨4/1⟩↗ |
←4L 2s⟨4/1⟩ | 5L 2s (4/1-equivalent) | 6L 2s⟨4/1⟩→ |
↙4L 3s⟨4/1⟩ | ↓5L 3s⟨4/1⟩ | 6L 3s⟨4/1⟩↘ |
┌╥╥╥┬╥╥┬┐ │║║║│║║││ │││││││││ └┴┴┴┴┴┴┴┘
sLLsLLL
5L 7s⟨4/1⟩
5L 2s⟨4/1⟩ is a 4/1-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 2 small steps, repeating every interval of 4/1 (2400.0¢). Generators that produce this scale range from 1371.4¢ to 1440¢, or from 960¢ to 1028.6¢.
Theory
It is the macrodiatonic scale with the period of a tetratave. This means it is a diatonic scale, but has octaves stretched by a factor of exactly 2 (squared). The generator is also stretched out from ~3/2 to ~9/4. Although the structure of the scale is the same, the melodic and harmonic properties are completely different from the diatonic scale.
Modes
UDP | Rotational order | Step pattern |
---|---|---|
6|0 | 1 | LLLsLLs |
5|1 | 5 | LLsLLLs |
4|2 | 2 | LLsLLsL |
3|3 | 6 | LsLLLsL |
2|4 | 3 | LsLLsLL |
1|5 | 7 | sLLLsLL |
0|6 | 4 | sLLsLLL |
Scale tree
Generator(ed4/1) | Cents | Step Ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
4\7 | 1371.429 | 1028.571 | 1:1 | 1.000 | Equalized 5L 2s⟨4/1⟩ | |||||
23\40 | 1380.000 | 1020.000 | 6:5 | 1.200 | ||||||
19\33 | 1381.818 | 1018.182 | 5:4 | 1.250 | ||||||
34\59 | 1383.051 | 1016.949 | 9:7 | 1.286 | ||||||
15\26 | 1384.615 | 1015.385 | 4:3 | 1.333 | Supersoft 5L 2s⟨4/1⟩ | |||||
41\71 | 1385.915 | 1014.085 | 11:8 | 1.375 | ||||||
26\45 | 1386.667 | 1013.333 | 7:5 | 1.400 | ||||||
37\64 | 1387.500 | 1012.500 | 10:7 | 1.429 | ||||||
11\19 | 1389.474 | 1010.526 | 3:2 | 1.500 | Soft 5L 2s⟨4/1⟩ | |||||
40\69 | 1391.304 | 1008.696 | 11:7 | 1.571 | ||||||
29\50 | 1392.000 | 1008.000 | 8:5 | 1.600 | ||||||
47\81 | 1392.593 | 1007.407 | 13:8 | 1.625 | ||||||
18\31 | 1393.548 | 1006.452 | 5:3 | 1.667 | Semisoft 5L 2s⟨4/1⟩ | |||||
43\74 | 1394.595 | 1005.405 | 12:7 | 1.714 | Meansquared | |||||
25\43 | 1395.349 | 1004.651 | 7:4 | 1.750 | ||||||
32\55 | 1396.364 | 1003.636 | 9:5 | 1.800 | ||||||
7\12 | 1400.000 | 1000.000 | 2:1 | 2.000 | Basic 5L 2s⟨4/1⟩ Scales with tunings softer than this are proper | |||||
31\53 | 1403.774 | 996.226 | 9:4 | 2.250 | ||||||
24\41 | 1404.878 | 995.122 | 7:3 | 2.333 | ||||||
41\70 | 1405.714 | 994.286 | 12:5 | 2.400 | ||||||
17\29 | 1406.897 | 993.103 | 5:2 | 2.500 | Semihard 5L 2s⟨4/1⟩ | |||||
44\75 | 1408.000 | 992.000 | 13:5 | 2.600 | ||||||
27\46 | 1408.696 | 991.304 | 8:3 | 2.667 | ||||||
37\63 | 1409.524 | 990.476 | 11:4 | 2.750 | ||||||
10\17 | 1411.765 | 988.235 | 3:1 | 3.000 | Hard 5L 2s⟨4/1⟩ | |||||
33\56 | 1414.286 | 985.714 | 10:3 | 3.333 | ||||||
23\39 | 1415.385 | 984.615 | 7:2 | 3.500 | ||||||
36\61 | 1416.393 | 983.607 | 11:3 | 3.667 | ||||||
13\22 | 1418.182 | 981.818 | 4:1 | 4.000 | Superhard 5L 2s⟨4/1⟩ | |||||
29\49 | 1420.408 | 979.592 | 9:2 | 4.500 | ||||||
16\27 | 1422.222 | 977.778 | 5:1 | 5.000 | ||||||
19\32 | 1425.000 | 975.000 | 6:1 | 6.000 | ||||||
3\5 | 1440.000 | 960.000 | 1:0 | → ∞ | Collapsed 5L 2s⟨4/1⟩ |