5L 2s (4/1-equivalent)

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↖ 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⟩ ↘
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⟩
Neutralized 3L 4s⟨4/1⟩
2-Flought 12L 2s⟨4/1⟩, 5L 9s⟨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 ¢)
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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.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 5L 2s⟨4/1⟩
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⟩
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