1L 17s

	↑ 1L 16s	2L 16s ↗
	1L 17s	2L 17s →
	↓ 1L 18s	2L 18s ↘

┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││││││││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lsssssssssssssssss sssssssssssssssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	17\18 to 1\1 (1133.3¢ to 1200.0¢)
Dark	0\1 to 1\18 (0.0¢ to 66.7¢)
TAMNAMS information
Descends from	1L 9s (antisinatonic)
Ancestor's step ratio range	9:1 to 1:0
Related MOS scales
Parent	1L 16s
Sister	17L 1s
Daughters	18L 1s, 1L 18s
Neutralized	2L 16s
2-Flought	19L 17s, 1L 35s
Equal tunings
Equalized (L:s = 1:1)	17\18 (1133.3¢)
Supersoft (L:s = 4:3)	52\55 (1134.5¢)
Soft (L:s = 3:2)	35\37 (1135.1¢)
Semisoft (L:s = 5:3)	53\56 (1135.7¢)
Basic (L:s = 2:1)	18\19 (1136.8¢)
Semihard (L:s = 5:2)	37\39 (1138.5¢)
Hard (L:s = 3:1)	19\20 (1140.0¢)
Superhard (L:s = 4:1)	20\21 (1142.9¢)
Collapsed (L:s = 1:0)	1\1 (1200.0¢)

1L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 17 small steps, repeating every octave. 1L 17s is related to 1L 9s, expanding it by 8 tones. Generators that produce this scale range from 1133.3¢ to 1200¢, or from 0¢ to 66.7¢.

Modes

Modes of 1L 17s

UDP	Cyclic order	Step pattern
17|0	1	Lsssssssssssssssss
16|1	18	sLssssssssssssssss
15|2	17	ssLsssssssssssssss
14|3	16	sssLssssssssssssss
13|4	15	ssssLsssssssssssss
12|5	14	sssssLssssssssssss
11|6	13	ssssssLsssssssssss
10|7	12	sssssssLssssssssss
9|8	11	ssssssssLsssssssss
8|9	10	sssssssssLssssssss
7|10	9	ssssssssssLsssssss
6|11	8	sssssssssssLssssss
5|12	7	ssssssssssssLsssss
4|13	6	sssssssssssssLssss
3|14	5	ssssssssssssssLsss
2|15	4	sssssssssssssssLss
1|16	3	ssssssssssssssssLs
0|17	2	sssssssssssssssssL

Intervals

Intervals of 1L 17s

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 66.7¢
	Augmented 1-mosstep	A1ms	L	66.7¢ to 1200.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 133.3¢
	Major 2-mosstep	M2ms	L + s	133.3¢ to 1200.0¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0¢ to 200.0¢
	Major 3-mosstep	M3ms	L + 2s	200.0¢ to 1200.0¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0¢ to 266.7¢
	Major 4-mosstep	M4ms	L + 3s	266.7¢ to 1200.0¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0¢ to 333.3¢
	Major 5-mosstep	M5ms	L + 4s	333.3¢ to 1200.0¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0¢ to 400.0¢
	Major 6-mosstep	M6ms	L + 5s	400.0¢ to 1200.0¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0¢ to 466.7¢
	Major 7-mosstep	M7ms	L + 6s	466.7¢ to 1200.0¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0¢ to 533.3¢
	Major 8-mosstep	M8ms	L + 7s	533.3¢ to 1200.0¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0¢ to 600.0¢
	Major 9-mosstep	M9ms	L + 8s	600.0¢ to 1200.0¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0¢ to 666.7¢
	Major 10-mosstep	M10ms	L + 9s	666.7¢ to 1200.0¢
11-mosstep	Minor 11-mosstep	m11ms	11s	0.0¢ to 733.3¢
	Major 11-mosstep	M11ms	L + 10s	733.3¢ to 1200.0¢
12-mosstep	Minor 12-mosstep	m12ms	12s	0.0¢ to 800.0¢
	Major 12-mosstep	M12ms	L + 11s	800.0¢ to 1200.0¢
13-mosstep	Minor 13-mosstep	m13ms	13s	0.0¢ to 866.7¢
	Major 13-mosstep	M13ms	L + 12s	866.7¢ to 1200.0¢
14-mosstep	Minor 14-mosstep	m14ms	14s	0.0¢ to 933.3¢
	Major 14-mosstep	M14ms	L + 13s	933.3¢ to 1200.0¢
15-mosstep	Minor 15-mosstep	m15ms	15s	0.0¢ to 1000.0¢
	Major 15-mosstep	M15ms	L + 14s	1000.0¢ to 1200.0¢
16-mosstep	Minor 16-mosstep	m16ms	16s	0.0¢ to 1066.7¢
	Major 16-mosstep	M16ms	L + 15s	1066.7¢ to 1200.0¢
17-mosstep	Diminished 17-mosstep	d17ms	17s	0.0¢ to 1133.3¢
	Perfect 17-mosstep	P17ms	L + 16s	1133.3¢ to 1200.0¢
18-mosstep	Perfect 18-mosstep	P18ms	L + 17s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 1L 17s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
17\18						1133.333	66.667	1:1	1.000	Equalized 1L 17s
					86\91	1134.066	65.934	6:5	1.200
				69\73		1134.247	65.753	5:4	1.250
					121\128	1134.375	65.625	9:7	1.286
			52\55			1134.545	65.455	4:3	1.333	Supersoft 1L 17s
					139\147	1134.694	65.306	11:8	1.375
				87\92		1134.783	65.217	7:5	1.400
					122\129	1134.884	65.116	10:7	1.429
		35\37				1135.135	64.865	3:2	1.500	Soft 1L 17s
					123\130	1135.385	64.615	11:7	1.571
				88\93		1135.484	64.516	8:5	1.600
					141\149	1135.570	64.430	13:8	1.625
			53\56			1135.714	64.286	5:3	1.667	Semisoft 1L 17s
					124\131	1135.878	64.122	12:7	1.714
				71\75		1136.000	64.000	7:4	1.750
					89\94	1136.170	63.830	9:5	1.800
	18\19					1136.842	63.158	2:1	2.000	Basic 1L 17s Scales with tunings softer than this are proper
					73\77	1137.662	62.338	9:4	2.250
				55\58		1137.931	62.069	7:3	2.333
					92\97	1138.144	61.856	12:5	2.400
			37\39			1138.462	61.538	5:2	2.500	Semihard 1L 17s
					93\98	1138.776	61.224	13:5	2.600
				56\59		1138.983	61.017	8:3	2.667
					75\79	1139.241	60.759	11:4	2.750
		19\20				1140.000	60.000	3:1	3.000	Hard 1L 17s
					58\61	1140.984	59.016	10:3	3.333
				39\41		1141.463	58.537	7:2	3.500
					59\62	1141.935	58.065	11:3	3.667
			20\21			1142.857	57.143	4:1	4.000	Superhard 1L 17s
					41\43	1144.186	55.814	9:2	4.500
				21\22		1145.455	54.545	5:1	5.000
					22\23	1147.826	52.174	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 17s

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