3L 17s

↖ 2L 16s ↑ 3L 16s 4L 16s ↗

← 2L 17s 3L 17s 4L 17s →

↙ 2L 18s ↓ 3L 18s 4L 18s ↘
	Scale structure
Step pattern	LsssssLssssssLssssss; ssssssLssssssLsssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	13\20 to 2\3 (780.0 ¢ to 800.0 ¢)
Dark	1\3 to 7\20 (400.0 ¢ to 420.0 ¢)
	TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	5:1 to 1:0
	Related MOS scales
Parent	3L 14s
Sister	17L 3s
Daughters	20L 3s, 3L 20s
Neutralized	6L 14s
2-Flought	23L 17s, 3L 37s
	Equal tunings
Equalized (L:s = 1:1)	13\20 (780.0 ¢)
Supersoft (L:s = 4:3)	41\63 (781.0 ¢)
Soft (L:s = 3:2)	28\43 (781.4 ¢)
Semisoft (L:s = 5:3)	43\66 (781.8 ¢)
Basic (L:s = 2:1)	15\23 (782.6 ¢)
Semihard (L:s = 5:2)	32\49 (783.7 ¢)
Hard (L:s = 3:1)	17\26 (784.6 ¢)
Superhard (L:s = 4:1)	19\29 (786.2 ¢)
Collapsed (L:s = 1:0)	2\3 (800.0 ¢)
	View • Talk • Edit

3L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 17 small steps, repeating every octave. 3L 17s is related to 3L 5s, expanding it by 12 tones. Generators that produce this scale range from 780 ¢ to 800 ¢, or from 400 ¢ to 420 ¢. This is the MOS which splits its small steps 6-6-5 between its large steps. Its most consonant generator is a 14/11 supermajor third, and its generator in general is a major third of no more than 7\20edo (420 cents).

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 3L 17s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
13\20						780.000	420.000	1:1	1.000	Equalized 3L 17s
					67\103	780.583	419.417	6:5	1.200
				54\83		780.723	419.277	5:4	1.250
					95\146	780.822	419.178	9:7	1.286
			41\63			780.952	419.048	4:3	1.333	Supersoft 3L 17s
					110\169	781.065	418.935	11:8	1.375
				69\106		781.132	418.868	7:5	1.400
					97\149	781.208	418.792	10:7	1.429
		28\43				781.395	418.605	3:2	1.500	Soft 3L 17s
					99\152	781.579	418.421	11:7	1.571
				71\109		781.651	418.349	8:5	1.600
					114\175	781.714	418.286	13:8	1.625
			43\66			781.818	418.182	5:3	1.667	Semisoft 3L 17s
					101\155	781.935	418.065	12:7	1.714
				58\89		782.022	417.978	7:4	1.750
					73\112	782.143	417.857	9:5	1.800
	15\23					782.609	417.391	2:1	2.000	Basic 3L 17s Scales with tunings softer than this are proper
					62\95	783.158	416.842	9:4	2.250
				47\72		783.333	416.667	7:3	2.333
					79\121	783.471	416.529	12:5	2.400
			32\49			783.673	416.327	5:2	2.500	Semihard 3L 17s
					81\124	783.871	416.129	13:5	2.600
				49\75		784.000	416.000	8:3	2.667
					66\101	784.158	415.842	11:4	2.750
		17\26				784.615	415.385	3:1	3.000	Hard 3L 17s
					53\81	785.185	414.815	10:3	3.333
				36\55		785.455	414.545	7:2	3.500
					55\84	785.714	414.286	11:3	3.667
			19\29			786.207	413.793	4:1	4.000	Superhard 3L 17s
					40\61	786.885	413.115	9:2	4.500
				21\32		787.500	412.500	5:1	5.000
					23\35	788.571	411.429	6:1	6.000
2\3						800.000	400.000	1:0	→ ∞	Collapsed 3L 17s

3L 17s

Navigation menu

Search