5L 2s (8/3-equivalent)

↖ 4L 1s⟨8/3⟩	↑ 5L 1s⟨8/3⟩	6L 1s⟨8/3⟩ ↗
← 4L 2s⟨8/3⟩	5L 2s (8/3-equivalent)	6L 2s⟨8/3⟩ →
↙ 4L 3s⟨8/3⟩	↓ 5L 3s⟨8/3⟩	6L 3s⟨8/3⟩ ↘

Scale structure
Step pattern	LLLsLLs sLLsLLL
Equave	8/3 (1698.0 ¢)
Period	8/3 (1698.0 ¢)
Generator size(ed8/3)
Bright	4\7 to 3\5 (970.3 ¢ to 1018.8 ¢)
Dark	2\5 to 3\7 (679.2 ¢ to 727.7 ¢)
Related MOS scales
Parent	2L 3s⟨8/3⟩
Sister	2L 5s⟨8/3⟩
Daughters	7L 5s⟨8/3⟩, 5L 7s⟨8/3⟩
Neutralized	3L 4s⟨8/3⟩
2-Flought	12L 2s⟨8/3⟩, 5L 9s⟨8/3⟩
Equal tunings(ed8/3)
Equalized (L:s = 1:1)	4\7 (970.3 ¢)
Supersoft (L:s = 4:3)	15\26 (979.6 ¢)
Soft (L:s = 3:2)	11\19 (983.1 ¢)
Semisoft (L:s = 5:3)	18\31 (986.0 ¢)
Basic (L:s = 2:1)	7\12 (990.5 ¢)
Semihard (L:s = 5:2)	17\29 (995.4 ¢)
Hard (L:s = 3:1)	10\17 (998.8 ¢)
Superhard (L:s = 4:1)	13\22 (1003.4 ¢)
Collapsed (L:s = 1:0)	3\5 (1018.8 ¢)
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5L 2s⟨8/3⟩ is a 8/3-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 2 small steps, repeating every interval of 8/3 (1698.0 ¢). Generators that produce this scale range from 970.3 ¢ to 1018.8 ¢, or from 679.2 ¢ to 727.7 ¢.

Modes

Modes of 5L 2s⟨8/3⟩

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

Intervals

Intervals of 5L 2s⟨8/3⟩

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 242.6 ¢
	Major 1-mosstep	M1ms	L	242.6 ¢ to 339.6 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	339.6 ¢ to 485.2 ¢
	Major 2-mosstep	M2ms	2L	485.2 ¢ to 679.2 ¢
3-mosstep	Perfect 3-mosstep	P3ms	2L + s	679.2 ¢ to 727.7 ¢
	Augmented 3-mosstep	A3ms	3L	727.7 ¢ to 1018.8 ¢
4-mosstep	Diminished 4-mosstep	d4ms	2L + 2s	679.2 ¢ to 970.3 ¢
	Perfect 4-mosstep	P4ms	3L + s	970.3 ¢ to 1018.8 ¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	1018.8 ¢ to 1212.9 ¢
	Major 5-mosstep	M5ms	4L + s	1212.9 ¢ to 1358.4 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	1358.4 ¢ to 1455.5 ¢
	Major 6-mosstep	M6ms	5L + s	1455.5 ¢ to 1698.0 ¢
7-mosstep	Perfect 7-mosstep	P7ms	5L + 2s	1698.0 ¢

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⟨8/3⟩

Generator(ed8/3)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\7						970.311	727.734	1:1	1.000	Equalized 5L 2s⟨8/3⟩
					23\40	976.376	721.669	6:5	1.200
				19\33		977.662	720.383	5:4	1.250
					34\59	978.534	719.511	9:7	1.286
			15\26			979.641	718.404	4:3	1.333	Supersoft 5L 2s⟨8/3⟩
					41\71	980.561	717.484	11:8	1.375
				26\45		981.093	716.952	7:5	1.400
					37\64	981.682	716.363	10:7	1.429
		11\19				983.079	714.966	3:2	1.500	Soft 5L 2s⟨8/3⟩
					40\69	984.374	713.671	11:7	1.571
				29\50		984.866	713.179	8:5	1.600
					47\81	985.285	712.760	13:8	1.625
			18\31			985.962	712.083	5:3	1.667	Semisoft 5L 2s⟨8/3⟩
					43\74	986.702	711.343	12:7	1.714
				25\43		987.235	710.810	7:4	1.750
					32\55	987.953	710.092	9:5	1.800
	7\12					990.526	707.519	2:1	2.000	Basic 5L 2s⟨8/3⟩ Scales with tunings softer than this are proper
					31\53	993.196	704.849	9:4	2.250
				24\41		993.978	704.067	7:3	2.333
					41\70	994.569	703.476	12:5	2.400
			17\29			995.406	702.639	5:2	2.500	Semihard 5L 2s⟨8/3⟩
					44\75	996.186	701.859	13:5	2.600
				27\46		996.679	701.366	8:3	2.667
					37\63	997.265	700.780	11:4	2.750
		10\17				998.850	699.195	3:1	3.000	Hard 5L 2s⟨8/3⟩
					33\56	1000.634	697.411	10:3	3.333
				23\39		1001.411	696.634	7:2	3.500
					36\61	1002.125	695.920	11:3	3.667
			13\22			1003.390	694.655	4:1	4.000	Superhard 5L 2s⟨8/3⟩
					29\49	1004.965	693.080	9:2	4.500
				16\27		1006.249	691.796	5:1	5.000
					19\32	1008.214	689.831	6:1	6.000
3\5						1018.827	679.218	1:0	→ ∞	Collapsed 5L 2s⟨8/3⟩

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