16L 1s

← 15L 1s	16L 1s	17L 1s →
↙ 15L 2s	↓ 16L 2s	17L 2s ↘

Scale structure
Step pattern	LLLLLLLLLLLLLLLLs sLLLLLLLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\17 to 1\16 (70.6 ¢ to 75.0 ¢)
Dark	15\16 to 16\17 (1125.0 ¢ to 1129.4 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	7:1 to 8:1
Related MOS scales
Parent	1L 15s
Sister	1L 16s
Daughters	17L 16s, 16L 17s
Neutralized	15L 2s
2-Flought	33L 1s, 16L 18s
Equal tunings
Equalized (L:s = 1:1)	1\17 (70.6 ¢)
Supersoft (L:s = 4:3)	4\67 (71.6 ¢)
Soft (L:s = 3:2)	3\50 (72.0 ¢)
Semisoft (L:s = 5:3)	5\83 (72.3 ¢)
Basic (L:s = 2:1)	2\33 (72.7 ¢)
Semihard (L:s = 5:2)	5\82 (73.2 ¢)
Hard (L:s = 3:1)	3\49 (73.5 ¢)
Superhard (L:s = 4:1)	4\65 (73.8 ¢)
Collapsed (L:s = 1:0)	1\16 (75.0 ¢)
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16L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 1 small step, repeating every octave. 16L 1s is related to 1L 9s, expanding it by 7 tones. Generators that produce this scale range from 70.6 ¢ to 75 ¢, or from 1125 ¢ to 1129.4 ¢. Scales of this form are always proper because there is only one small step.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Template:MOS data is deprecated. Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 16L 1s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\17						70.588	1129.412	1:1	1.000	Equalized 16L 1s
					6\101	71.287	1128.713	6:5	1.200
				5\84		71.429	1128.571	5:4	1.250
					9\151	71.523	1128.477	9:7	1.286
			4\67			71.642	1128.358	4:3	1.333	Supersoft 16L 1s
					11\184	71.739	1128.261	11:8	1.375
				7\117		71.795	1128.205	7:5	1.400
					10\167	71.856	1128.144	10:7	1.429
		3\50				72.000	1128.000	3:2	1.500	Soft 16L 1s
					11\183	72.131	1127.869	11:7	1.571
				8\133		72.180	1127.820	8:5	1.600
					13\216	72.222	1127.778	13:8	1.625
			5\83			72.289	1127.711	5:3	1.667	Semisoft 16L 1s
					12\199	72.362	1127.638	12:7	1.714
				7\116		72.414	1127.586	7:4	1.750
					9\149	72.483	1127.517	9:5	1.800
	2\33					72.727	1127.273	2:1	2.000	Basic 16L 1s
					9\148	72.973	1127.027	9:4	2.250
				7\115		73.043	1126.957	7:3	2.333
					12\197	73.096	1126.904	12:5	2.400
			5\82			73.171	1126.829	5:2	2.500	Semihard 16L 1s
					13\213	73.239	1126.761	13:5	2.600
				8\131		73.282	1126.718	8:3	2.667
					11\180	73.333	1126.667	11:4	2.750
		3\49				73.469	1126.531	3:1	3.000	Hard 16L 1s
					10\163	73.620	1126.380	10:3	3.333
				7\114		73.684	1126.316	7:2	3.500
					11\179	73.743	1126.257	11:3	3.667
			4\65			73.846	1126.154	4:1	4.000	Superhard 16L 1s
					9\146	73.973	1126.027	9:2	4.500
				5\81		74.074	1125.926	5:1	5.000
					6\97	74.227	1125.773	6:1	6.000
1\16						75.000	1125.000	1:0	→ ∞	Collapsed 16L 1s

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