1L 16s

	↑ 1L 15s	2L 15s ↗
	1L 16s	2L 16s →
	↓ 1L 17s	2L 17s ↘

Scale structure
Step pattern	Lssssssssssssssss ssssssssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	16\17 to 1\1 (1129.4 ¢ to 1200.0 ¢)
Dark	0\1 to 1\17 (0.0 ¢ to 70.6 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	8:1 to 1:0
Related MOS scales
Parent	1L 15s
Sister	16L 1s
Daughters	17L 1s, 1L 17s
Neutralized	2L 15s
2-Flought	18L 16s, 1L 33s
Equal tunings
Equalized (L:s = 1:1)	16\17 (1129.4 ¢)
Supersoft (L:s = 4:3)	49\52 (1130.8 ¢)
Soft (L:s = 3:2)	33\35 (1131.4 ¢)
Semisoft (L:s = 5:3)	50\53 (1132.1 ¢)
Basic (L:s = 2:1)	17\18 (1133.3 ¢)
Semihard (L:s = 5:2)	35\37 (1135.1 ¢)
Hard (L:s = 3:1)	18\19 (1136.8 ¢)
Superhard (L:s = 4:1)	19\20 (1140.0 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)
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1L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 16 small steps, repeating every octave. 1L 16s is related to 1L 9s, expanding it by 7 tones. Generators that produce this scale range from 1129.4 ¢ to 1200 ¢, or from 0 ¢ to 70.6 ¢.

Modes

Modes of 1L 16s

UDP	Cyclic order	Step pattern
16|0	1	Lssssssssssssssss
15|1	17	sLsssssssssssssss
14|2	16	ssLssssssssssssss
13|3	15	sssLsssssssssssss
12|4	14	ssssLssssssssssss
11|5	13	sssssLsssssssssss
10|6	12	ssssssLssssssssss
9|7	11	sssssssLsssssssss
8|8	10	ssssssssLssssssss
7|9	9	sssssssssLsssssss
6|10	8	ssssssssssLssssss
5|11	7	sssssssssssLsssss
4|12	6	ssssssssssssLssss
3|13	5	sssssssssssssLsss
2|14	4	ssssssssssssssLss
1|15	3	sssssssssssssssLs
0|16	2	ssssssssssssssssL

Intervals

Intervals of 1L 16s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 70.6 ¢
	Augmented 1-mosstep	A1ms	L	70.6 ¢ to 1200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 141.2 ¢
	Major 2-mosstep	M2ms	L + s	141.2 ¢ to 1200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 211.8 ¢
	Major 3-mosstep	M3ms	L + 2s	211.8 ¢ to 1200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 282.4 ¢
	Major 4-mosstep	M4ms	L + 3s	282.4 ¢ to 1200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 352.9 ¢
	Major 5-mosstep	M5ms	L + 4s	352.9 ¢ to 1200.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 423.5 ¢
	Major 6-mosstep	M6ms	L + 5s	423.5 ¢ to 1200.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 494.1 ¢
	Major 7-mosstep	M7ms	L + 6s	494.1 ¢ to 1200.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 564.7 ¢
	Major 8-mosstep	M8ms	L + 7s	564.7 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0 ¢ to 635.3 ¢
	Major 9-mosstep	M9ms	L + 8s	635.3 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0 ¢ to 705.9 ¢
	Major 10-mosstep	M10ms	L + 9s	705.9 ¢ to 1200.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	11s	0.0 ¢ to 776.5 ¢
	Major 11-mosstep	M11ms	L + 10s	776.5 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	12s	0.0 ¢ to 847.1 ¢
	Major 12-mosstep	M12ms	L + 11s	847.1 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	13s	0.0 ¢ to 917.6 ¢
	Major 13-mosstep	M13ms	L + 12s	917.6 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	14s	0.0 ¢ to 988.2 ¢
	Major 14-mosstep	M14ms	L + 13s	988.2 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	15s	0.0 ¢ to 1058.8 ¢
	Major 15-mosstep	M15ms	L + 14s	1058.8 ¢ to 1200.0 ¢
16-mosstep	Diminished 16-mosstep	d16ms	16s	0.0 ¢ to 1129.4 ¢
	Perfect 16-mosstep	P16ms	L + 15s	1129.4 ¢ to 1200.0 ¢
17-mosstep	Perfect 17-mosstep	P17ms	L + 16s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 1L 16s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
16\17						1129.412	70.588	1:1	1.000	Equalized 1L 16s
					81\86	1130.233	69.767	6:5	1.200
				65\69		1130.435	69.565	5:4	1.250
					114\121	1130.579	69.421	9:7	1.286
			49\52			1130.769	69.231	4:3	1.333	Supersoft 1L 16s
					131\139	1130.935	69.065	11:8	1.375
				82\87		1131.034	68.966	7:5	1.400
					115\122	1131.148	68.852	10:7	1.429
		33\35				1131.429	68.571	3:2	1.500	Soft 1L 16s
					116\123	1131.707	68.293	11:7	1.571
				83\88		1131.818	68.182	8:5	1.600
					133\141	1131.915	68.085	13:8	1.625	Unnamed golden tuning
			50\53			1132.075	67.925	5:3	1.667	Semisoft 1L 16s
					117\124	1132.258	67.742	12:7	1.714
				67\71		1132.394	67.606	7:4	1.750
					84\89	1132.584	67.416	9:5	1.800
	17\18					1133.333	66.667	2:1	2.000	Basic 1L 16s Scales with tunings softer than this are proper
					69\73	1134.247	65.753	9:4	2.250
				52\55		1134.545	65.455	7:3	2.333
					87\92	1134.783	65.217	12:5	2.400
			35\37			1135.135	64.865	5:2	2.500	Semihard 1L 16s
					88\93	1135.484	64.516	13:5	2.600	Unnamed golden tuning
				53\56		1135.714	64.286	8:3	2.667	Sycamore
					71\75	1136.000	64.000	11:4	2.750	Betic
		18\19				1136.842	63.158	3:1	3.000	Hard 1L 16s Rhinoceros
					55\58	1137.931	62.069	10:3	3.333	Unicorn
				37\39		1138.462	61.538	7:2	3.500
					56\59	1138.983	61.017	11:3	3.667
			19\20			1140.000	60.000	4:1	4.000	Superhard 1L 16s
					39\41	1141.463	58.537	9:2	4.500	Hemimiracle
				20\21		1142.857	57.143	5:1	5.000
					21\22	1145.455	54.545	6:1	6.000	Escapade
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 16s

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