4L 17s

↖ 3L 16s	↑ 4L 16s	5L 16s ↗
← 3L 17s	4L 17s	5L 17s →
↙ 3L 18s	↓ 4L 18s	5L 18s ↘

┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║││││║││││║││││││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssLssssLssssLsssss sssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\21 to 1\4 (285.7 ¢ to 300.0 ¢)
Dark	3\4 to 16\21 (900.0 ¢ to 914.3 ¢)
TAMNAMS information
Related to	4L 5s (gramitonic)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	4L 13s
Sister	17L 4s
Daughters	21L 4s, 4L 21s
Neutralized	8L 13s
2-Flought	25L 17s, 4L 38s
Equal tunings
Equalized (L:s = 1:1)	5\21 (285.7 ¢)
Supersoft (L:s = 4:3)	16\67 (286.6 ¢)
Soft (L:s = 3:2)	11\46 (287.0 ¢)
Semisoft (L:s = 5:3)	17\71 (287.3 ¢)
Basic (L:s = 2:1)	6\25 (288.0 ¢)
Semihard (L:s = 5:2)	13\54 (288.9 ¢)
Hard (L:s = 3:1)	7\29 (289.7 ¢)
Superhard (L:s = 4:1)	8\33 (290.9 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 17 small steps, repeating every octave. 4L 17s is a great-grandchild scale of 4L 5s, expanding it by 12 tones. Generators that produce this scale range from 285.7 ¢ to 300 ¢, or from 900 ¢ to 914.3 ¢.

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.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 4L 17s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
5\21						285.714	914.286	1:1	1.000	Equalized 4L 17s
					26\109	286.239	913.761	6:5	1.200
				21\88		286.364	913.636	5:4	1.250
					37\155	286.452	913.548	9:7	1.286
			16\67			286.567	913.433	4:3	1.333	Supersoft 4L 17s
					43\180	286.667	913.333	11:8	1.375
				27\113		286.726	913.274	7:5	1.400
					38\159	286.792	913.208	10:7	1.429
		11\46				286.957	913.043	3:2	1.500	Soft 4L 17s
					39\163	287.117	912.883	11:7	1.571
				28\117		287.179	912.821	8:5	1.600
					45\188	287.234	912.766	13:8	1.625
			17\71			287.324	912.676	5:3	1.667	Semisoft 4L 17s
					40\167	287.425	912.575	12:7	1.714
				23\96		287.500	912.500	7:4	1.750
					29\121	287.603	912.397	9:5	1.800
	6\25					288.000	912.000	2:1	2.000	Basic 4L 17s Scales with tunings softer than this are proper
					25\104	288.462	911.538	9:4	2.250
				19\79		288.608	911.392	7:3	2.333
					32\133	288.722	911.278	12:5	2.400
			13\54			288.889	911.111	5:2	2.500	Semihard 4L 17s
					33\137	289.051	910.949	13:5	2.600
				20\83		289.157	910.843	8:3	2.667
					27\112	289.286	910.714	11:4	2.750
		7\29				289.655	910.345	3:1	3.000	Hard 4L 17s
					22\91	290.110	909.890	10:3	3.333
				15\62		290.323	909.677	7:2	3.500
					23\95	290.526	909.474	11:3	3.667
			8\33			290.909	909.091	4:1	4.000	Superhard 4L 17s
					17\70	291.429	908.571	9:2	4.500
				9\37		291.892	908.108	5:1	5.000
					10\41	292.683	907.317	6:1	6.000
1\4						300.000	900.000	1:0	→ ∞	Collapsed 4L 17s

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