5L 2s (4/1-equivalent)

↖ 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 stretch factor of exactly 2. The generator is also stretched out from ~3/2 to ~9/4.

Modes

Modes of 5L 2s⟨4/1⟩
UDP	Cyclic 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

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:

{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}

The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 5L 2s⟨4/1⟩
Generator^(ed4/1)						Cents		Step ratio		Comments
Generator^(ed4/1)						Bright	Dark	L:s	Hardness	Comments
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
				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⟩