4L 15s

↖ 3L 14s ↑ 4L 14s 5L 14s ↗

← 3L 15s 4L 15s 5L 15s →

↙ 3L 16s ↓ 4L 16s 5L 16s ↘
	Scale structure
Step pattern	LsssLssssLssssLssss; ssssLssssLssssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	14\19 to 3\4 (884.2 ¢ to 900.0 ¢)
Dark	1\4 to 5\19 (300.0 ¢ to 315.8 ¢)
	TAMNAMS information
Related to	4L 3s (smitonic)
With tunings	4:1 to 1:0 (ultrahard)
	Related MOS scales
Parent	4L 11s
Sister	15L 4s
Daughters	19L 4s, 4L 19s
Neutralized	8L 11s
2-Flought	23L 15s, 4L 34s
	Equal tunings
Equalized (L:s = 1:1)	14\19 (884.2 ¢)
Supersoft (L:s = 4:3)	45\61 (885.2 ¢)
Soft (L:s = 3:2)	31\42 (885.7 ¢)
Semisoft (L:s = 5:3)	48\65 (886.2 ¢)
Basic (L:s = 2:1)	17\23 (887.0 ¢)
Semihard (L:s = 5:2)	37\50 (888.0 ¢)
Hard (L:s = 3:1)	20\27 (888.9 ¢)
Superhard (L:s = 4:1)	23\31 (890.3 ¢)
Collapsed (L:s = 1:0)	3\4 (900.0 ¢)
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4L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 15 small steps, repeating every octave. 4L 15s is a great-grandchild scale of 4L 3s, expanding it by 12 tones. Generators that produce this scale range from 884.2 ¢ to 900 ¢, or from 300 ¢ to 315.8 ¢.

This scale is associated with myna temperament (pronounced /'maɪnə/), where stacking two bright generators and octave-reducing produces 7/5 (~582 ¢).

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 4L 15s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
14\19						884.211	315.789	1:1	1.000	Equalized 4L 15s
					73\99	884.848	315.152	6:5	1.200
				59\80		885.000	315.000	5:4	1.250
					104\141	885.106	314.894	9:7	1.286
			45\61			885.246	314.754	4:3	1.333	Supersoft 4L 15s
					121\164	885.366	314.634	11:8	1.375
				76\103		885.437	314.563	7:5	1.400
					107\145	885.517	314.483	10:7	1.429
		31\42				885.714	314.286	3:2	1.500	Soft 4L 15s
					110\149	885.906	314.094	11:7	1.571
				79\107		885.981	314.019	8:5	1.600
					127\172	886.047	313.953	13:8	1.625
			48\65			886.154	313.846	5:3	1.667	Semisoft 4L 15s
					113\153	886.275	313.725	12:7	1.714
				65\88		886.364	313.636	7:4	1.750
					82\111	886.486	313.514	9:5	1.800
	17\23					886.957	313.043	2:1	2.000	Basic 4L 15s Scales with tunings softer than this are proper
					71\96	887.500	312.500	9:4	2.250
				54\73		887.671	312.329	7:3	2.333
					91\123	887.805	312.195	12:5	2.400
			37\50			888.000	312.000	5:2	2.500	Semihard 4L 15s
					94\127	888.189	311.811	13:5	2.600
				57\77		888.312	311.688	8:3	2.667
					77\104	888.462	311.538	11:4	2.750
		20\27				888.889	311.111	3:1	3.000	Hard 4L 15s
					63\85	889.412	310.588	10:3	3.333
				43\58		889.655	310.345	7:2	3.500
					66\89	889.888	310.112	11:3	3.667
			23\31			890.323	309.677	4:1	4.000	Superhard 4L 15s
					49\66	890.909	309.091	9:2	4.500
				26\35		891.429	308.571	5:1	5.000
					29\39	892.308	307.692	6:1	6.000
3\4						900.000	300.000	1:0	→ ∞	Collapsed 4L 15s