2L 17s

↖ 1L 16s	↑ 2L 16s	3L 16s ↗
← 1L 17s	2L 17s	3L 17s →
↙ 1L 18s	↓ 2L 18s	3L 18s ↘

Scale structure
Step pattern	LssssssssLsssssssss sssssssssLssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\19 to 1\2 (568.4 ¢ to 600.0 ¢)
Dark	1\2 to 10\19 (600.0 ¢ to 631.6 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	6:1 to 1:0
Related MOS scales
Parent	2L 15s
Sister	17L 2s
Daughters	19L 2s, 2L 19s
Neutralized	4L 15s
2-Flought	21L 17s, 2L 36s
Equal tunings
Equalized (L:s = 1:1)	9\19 (568.4 ¢)
Supersoft (L:s = 4:3)	28\59 (569.5 ¢)
Soft (L:s = 3:2)	19\40 (570.0 ¢)
Semisoft (L:s = 5:3)	29\61 (570.5 ¢)
Basic (L:s = 2:1)	10\21 (571.4 ¢)
Semihard (L:s = 5:2)	21\44 (572.7 ¢)
Hard (L:s = 3:1)	11\23 (573.9 ¢)
Superhard (L:s = 4:1)	12\25 (576.0 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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2L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 17 small steps, repeating every octave. 2L 17s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 568.4 ¢ to 600 ¢, or from 600 ¢ to 631.6 ¢.

This is the MOS where the small steps divide 9-8 between the large steps. The generator is a tritone of no less than 9/19edo (568.421 cents), having minimum harmonic entropy at 7/5.

Modes

Modes of 2L 17s

UDP	Cyclic order	Step pattern
18|0	1	LssssssssLsssssssss
17|1	10	LsssssssssLssssssss
16|2	19	sLssssssssLssssssss
15|3	9	sLsssssssssLsssssss
14|4	18	ssLssssssssLsssssss
13|5	8	ssLsssssssssLssssss
12|6	17	sssLssssssssLssssss
11|7	7	sssLsssssssssLsssss
10|8	16	ssssLssssssssLsssss
9|9	6	ssssLsssssssssLssss
8|10	15	sssssLssssssssLssss
7|11	5	sssssLsssssssssLsss
6|12	14	ssssssLssssssssLsss
5|13	4	ssssssLsssssssssLss
4|14	13	sssssssLssssssssLss
3|15	3	sssssssLsssssssssLs
2|16	12	ssssssssLssssssssLs
1|17	2	ssssssssLsssssssssL
0|18	11	sssssssssLssssssssL

Intervals

Intervals of 2L 17s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 63.2 ¢
	Major 1-mosstep	M1ms	L	63.2 ¢ to 600.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 126.3 ¢
	Major 2-mosstep	M2ms	L + s	126.3 ¢ to 600.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 189.5 ¢
	Major 3-mosstep	M3ms	L + 2s	189.5 ¢ to 600.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 252.6 ¢
	Major 4-mosstep	M4ms	L + 3s	252.6 ¢ to 600.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 315.8 ¢
	Major 5-mosstep	M5ms	L + 4s	315.8 ¢ to 600.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 378.9 ¢
	Major 6-mosstep	M6ms	L + 5s	378.9 ¢ to 600.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 442.1 ¢
	Major 7-mosstep	M7ms	L + 6s	442.1 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 505.3 ¢
	Major 8-mosstep	M8ms	L + 7s	505.3 ¢ to 600.0 ¢
9-mosstep	Diminished 9-mosstep	d9ms	9s	0.0 ¢ to 568.4 ¢
	Perfect 9-mosstep	P9ms	L + 8s	568.4 ¢ to 600.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	L + 9s	600.0 ¢ to 631.6 ¢
	Augmented 10-mosstep	A10ms	2L + 8s	631.6 ¢ to 1200.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	L + 10s	600.0 ¢ to 694.7 ¢
	Major 11-mosstep	M11ms	2L + 9s	694.7 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	L + 11s	600.0 ¢ to 757.9 ¢
	Major 12-mosstep	M12ms	2L + 10s	757.9 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	L + 12s	600.0 ¢ to 821.1 ¢
	Major 13-mosstep	M13ms	2L + 11s	821.1 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	L + 13s	600.0 ¢ to 884.2 ¢
	Major 14-mosstep	M14ms	2L + 12s	884.2 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	L + 14s	600.0 ¢ to 947.4 ¢
	Major 15-mosstep	M15ms	2L + 13s	947.4 ¢ to 1200.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	L + 15s	600.0 ¢ to 1010.5 ¢
	Major 16-mosstep	M16ms	2L + 14s	1010.5 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	L + 16s	600.0 ¢ to 1073.7 ¢
	Major 17-mosstep	M17ms	2L + 15s	1073.7 ¢ to 1200.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	L + 17s	600.0 ¢ to 1136.8 ¢
	Major 18-mosstep	M18ms	2L + 16s	1136.8 ¢ to 1200.0 ¢
19-mosstep	Perfect 19-mosstep	P19ms	2L + 17s	1200.0 ¢

Scale tree

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 2L 17s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\19						568.421	631.579	1:1	1.000	Equalized 2L 17s
					46\97	569.072	630.928	6:5	1.200
				37\78		569.231	630.769	5:4	1.250
					65\137	569.343	630.657	9:7	1.286
			28\59			569.492	630.508	4:3	1.333	Supersoft 2L 17s
					75\158	569.620	630.380	11:8	1.375
				47\99		569.697	630.303	7:5	1.400
					66\139	569.784	630.216	10:7	1.429
		19\40				570.000	630.000	3:2	1.500	Soft 2L 17s
					67\141	570.213	629.787	11:7	1.571
				48\101		570.297	629.703	8:5	1.600
					77\162	570.370	629.630	13:8	1.625
			29\61			570.492	629.508	5:3	1.667	Semisoft 2L 17s
					68\143	570.629	629.371	12:7	1.714
				39\82		570.732	629.268	7:4	1.750
					49\103	570.874	629.126	9:5	1.800
	10\21					571.429	628.571	2:1	2.000	Basic 2L 17s Scales with tunings softer than this are proper
					41\86	572.093	627.907	9:4	2.250
				31\65		572.308	627.692	7:3	2.333
					52\109	572.477	627.523	12:5	2.400
			21\44			572.727	627.273	5:2	2.500	Semihard 2L 17s
					53\111	572.973	627.027	13:5	2.600
				32\67		573.134	626.866	8:3	2.667
					43\90	573.333	626.667	11:4	2.750
		11\23				573.913	626.087	3:1	3.000	Hard 2L 17s
					34\71	574.648	625.352	10:3	3.333
				23\48		575.000	625.000	7:2	3.500
					35\73	575.342	624.658	11:3	3.667
			12\25			576.000	624.000	4:1	4.000	Superhard 2L 17s
					25\52	576.923	623.077	9:2	4.500
				13\27		577.778	622.222	5:1	5.000
					14\29	579.310	620.690	6:1	6.000
1\2						600.000	600.000	1:0	→ ∞	Collapsed 2L 17s