17L 1s

← 16L 1s 17L 1s 18L 1s →

↙ 16L 2s ↓ 17L 2s 18L 2s ↘
	Scale structure
Step pattern	LLLLLLLLLLLLLLLLLs; sLLLLLLLLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	1\18 to 1\17 (66.7 ¢ to 70.6 ¢)
Dark	16\17 to 17\18 (1129.4 ¢ to 1133.3 ¢)
	TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	8:1 to 9:1
	Related MOS scales
Parent	1L 16s
Sister	1L 17s
Daughters	18L 17s, 17L 18s
Neutralized	16L 2s
2-Flought	35L 1s, 17L 19s
	Equal tunings
Equalized (L:s = 1:1)	1\18 (66.7 ¢)
Supersoft (L:s = 4:3)	4\71 (67.6 ¢)
Soft (L:s = 3:2)	3\53 (67.9 ¢)
Semisoft (L:s = 5:3)	5\88 (68.2 ¢)
Basic (L:s = 2:1)	2\35 (68.6 ¢)
Semihard (L:s = 5:2)	5\87 (69.0 ¢)
Hard (L:s = 3:1)	3\52 (69.2 ¢)
Superhard (L:s = 4:1)	4\69 (69.6 ¢)
Collapsed (L:s = 1:0)	1\17 (70.6 ¢)
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17L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 1 small step, repeating every octave. 17L 1s is related to 1L 9s, expanding it by 8 tones. Generators that produce this scale range from 66.7 ¢ to 70.6 ¢, or from 1129.4 ¢ to 1133.3 ¢. Scales of this form are always proper because there is only one small step.

Modes

Modes of 17L 1s
UDP	Cyclic order	Step pattern
17\|0	1	LLLLLLLLLLLLLLLLLs
16\|1	2	LLLLLLLLLLLLLLLLsL
15\|2	3	LLLLLLLLLLLLLLLsLL
14\|3	4	LLLLLLLLLLLLLLsLLL
13\|4	5	LLLLLLLLLLLLLsLLLL
12\|5	6	LLLLLLLLLLLLsLLLLL
11\|6	7	LLLLLLLLLLLsLLLLLL
10\|7	8	LLLLLLLLLLsLLLLLLL
9\|8	9	LLLLLLLLLsLLLLLLLL
8\|9	10	LLLLLLLLsLLLLLLLLL
7\|10	11	LLLLLLLsLLLLLLLLLL
6\|11	12	LLLLLLsLLLLLLLLLLL
5\|12	13	LLLLLsLLLLLLLLLLLL
4\|13	14	LLLLsLLLLLLLLLLLLL
3\|14	15	LLLsLLLLLLLLLLLLLL
2\|15	16	LLsLLLLLLLLLLLLLLL
1\|16	17	LsLLLLLLLLLLLLLLLL
0\|17	18	sLLLLLLLLLLLLLLLLL

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 17L 1s
Generator^(edo)						Cents		Step ratio		Comments^{(always proper)}
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments^{(always proper)}
1\18						66.667	1133.333	1:1	1.000	Equalized 17L 1s
					6\107	67.290	1132.710	6:5	1.200
				5\89		67.416	1132.584	5:4	1.250
					9\160	67.500	1132.500	9:7	1.286
			4\71			67.606	1132.394	4:3	1.333	Supersoft 17L 1s
					11\195	67.692	1132.308	11:8	1.375
				7\124		67.742	1132.258	7:5	1.400
					10\177	67.797	1132.203	10:7	1.429
		3\53				67.925	1132.075	3:2	1.500	Soft 17L 1s
					11\194	68.041	1131.959	11:7	1.571
				8\141		68.085	1131.915	8:5	1.600
					13\229	68.122	1131.878	13:8	1.625
			5\88			68.182	1131.818	5:3	1.667	Semisoft 17L 1s
					12\211	68.246	1131.754	12:7	1.714
				7\123		68.293	1131.707	7:4	1.750
					9\158	68.354	1131.646	9:5	1.800
	2\35					68.571	1131.429	2:1	2.000	Basic 17L 1s
					9\157	68.790	1131.210	9:4	2.250
				7\122		68.852	1131.148	7:3	2.333
					12\209	68.900	1131.100	12:5	2.400
			5\87			68.966	1131.034	5:2	2.500	Semihard 17L 1s
					13\226	69.027	1130.973	13:5	2.600
				8\139		69.065	1130.935	8:3	2.667
					11\191	69.110	1130.890	11:4	2.750
		3\52				69.231	1130.769	3:1	3.000	Hard 17L 1s
					10\173	69.364	1130.636	10:3	3.333
				7\121		69.421	1130.579	7:2	3.500
					11\190	69.474	1130.526	11:3	3.667
			4\69			69.565	1130.435	4:1	4.000	Superhard 17L 1s
					9\155	69.677	1130.323	9:2	4.500
				5\86		69.767	1130.233	5:1	5.000
					6\103	69.903	1130.097	6:1	6.000
1\17						70.588	1129.412	1:0	→ ∞	Collapsed 17L 1s