5L 3s (5/2-equivalent)

↖ 4L 2s⟨5/2⟩	↑ 5L 2s⟨5/2⟩	6L 2s⟨5/2⟩ ↗
← 4L 3s⟨5/2⟩	5L 3s (5/2-equivalent)	6L 3s⟨5/2⟩ →
↙ 4L 4s⟨5/2⟩	↓ 5L 4s⟨5/2⟩	6L 4s⟨5/2⟩ ↘

Scale structure
Step pattern	LLsLLsLs sLsLLsLL
Equave	5/2 (1586.3 ¢)
Period	5/2 (1586.3 ¢)
Generator size(ed5/2)
Bright	3\8 to 2\5 (594.9 ¢ to 634.5 ¢)
Dark	3\5 to 5\8 (951.8 ¢ to 991.4 ¢)
Related MOS scales
Parent	3L 2s⟨5/2⟩
Sister	3L 5s⟨5/2⟩
Daughters	8L 5s⟨5/2⟩, 5L 8s⟨5/2⟩
Neutralized	2L 6s⟨5/2⟩
2-Flought	13L 3s⟨5/2⟩, 5L 11s⟨5/2⟩
Equal tunings(ed5/2)
Equalized (L:s = 1:1)	3\8 (594.9 ¢)
Supersoft (L:s = 4:3)	11\29 (601.7 ¢)
Soft (L:s = 3:2)	8\21 (604.3 ¢)
Semisoft (L:s = 5:3)	13\34 (606.5 ¢)
Basic (L:s = 2:1)	5\13 (610.1 ¢)
Semihard (L:s = 5:2)	12\31 (614.1 ¢)
Hard (L:s = 3:1)	7\18 (616.9 ¢)
Superhard (L:s = 4:1)	9\23 (620.7 ¢)
Collapsed (L:s = 1:0)	2\5 (634.5 ¢)
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5L 3s⟨5/2⟩ is a 5/2-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 3 small steps, repeating every interval of 5/2 (1586.3 ¢). Generators that produce this scale range from 594.9 ¢ to 634.5 ¢, or from 951.8 ¢ to 991.4 ¢. This can be thought of as an MOS generated by 5/2-equivalent jubilic temperament.

Modes

Modes of 5L 3s⟨5/2⟩

UDP	Cyclic order	Step pattern
7|0	1	LLsLLsLs
6|1	4	LLsLsLLs
5|2	7	LsLLsLLs
4|3	2	LsLLsLsL
3|4	5	LsLsLLsL
2|5	8	sLLsLLsL
1|6	3	sLLsLsLL
0|7	6	sLsLLsLL

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 3s⟨5/2⟩

Generator(ed5/2)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\8						594.868	991.446	1:1	1.000	Equalized 5L 3s⟨5/2⟩
					17\45	599.274	987.040	6:5	1.200
				14\37		600.227	986.087	5:4	1.250
					25\66	600.876	985.437	9:7	1.286
			11\29			601.705	984.609	4:3	1.333	Supersoft 5L 3s⟨5/2⟩
					30\79	602.398	983.916	11:8	1.375
				19\50		602.799	983.515	7:5	1.400
					27\71	603.246	983.068	10:7	1.429
		8\21				604.310	982.004	3:2	1.500	Soft 5L 3s⟨5/2⟩
					29\76	605.304	981.010	11:7	1.571
				21\55		605.683	980.630	8:5	1.600
					34\89	606.007	980.306	13:8	1.625
			13\34			606.532	979.782	5:3	1.667	Semisoft 5L 3s⟨5/2⟩
					31\81	607.108	979.206	12:7	1.714
				18\47		607.524	978.789	7:4	1.750
					23\60	608.087	978.227	9:5	1.800
	5\13					610.121	976.193	2:1	2.000	Basic 5L 3s⟨5/2⟩ Scales with tunings softer than this are proper
					22\57	612.261	974.052	9:4	2.250
				17\44		612.894	973.420	7:3	2.333
					29\75	613.375	972.939	12:5	2.400
			12\31			614.057	972.257	5:2	2.500	Semihard 5L 3s⟨5/2⟩
					31\80	614.697	971.617	13:5	2.600
				19\49		615.101	971.212	8:3	2.667
					26\67	615.584	970.729	11:4	2.750
		7\18				616.900	969.414	3:1	3.000	Hard 5L 3s⟨5/2⟩
					23\59	618.393	967.920	10:3	3.333
				16\41		619.049	967.264	7:2	3.500
					25\64	619.654	966.660	11:3	3.667
			9\23			620.731	965.582	4:1	4.000	Superhard 5L 3s⟨5/2⟩
					20\51	622.084	964.230	9:2	4.500
				11\28		623.195	963.119	5:1	5.000
					13\33	624.911	961.402	6:1	6.000
2\5						634.525	951.788	1:0	→ ∞	Collapsed 5L 3s⟨5/2⟩