6L 16s

↖ 5L 15s	↑ 6L 15s	7L 15s ↗
← 5L 16s	6L 16s	7L 16s →
↙ 5L 17s	↓ 6L 17s	7L 17s ↘

Scale structure
Step pattern	LssLsssLsssLssLsssLsss sssLsssLssLsssLsssLssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	7\22 to 2\6 (381.8 ¢ to 400.0 ¢)
Dark	1\6 to 4\22 (200.0 ¢ to 218.2 ¢)
TAMNAMS information
Related to	6L 4s (lemon)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	6L 10s
Sister	16L 6s
Daughters	22L 6s, 6L 22s
Neutralized	12L 10s
2-Flought	28L 16s, 6L 38s
Equal tunings
Equalized (L:s = 1:1)	7\22 (381.8 ¢)
Supersoft (L:s = 4:3)	23\72 (383.3 ¢)
Soft (L:s = 3:2)	16\50 (384.0 ¢)
Semisoft (L:s = 5:3)	25\78 (384.6 ¢)
Basic (L:s = 2:1)	9\28 (385.7 ¢)
Semihard (L:s = 5:2)	20\62 (387.1 ¢)
Hard (L:s = 3:1)	11\34 (388.2 ¢)
Superhard (L:s = 4:1)	13\40 (390.0 ¢)
Collapsed (L:s = 1:0)	2\6 (400.0 ¢)
View • Talk • Edit

6L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 16 small steps, with a period of 3 large steps and 8 small steps that repeats every 600.0 ¢, or twice every octave. 6L 16s is a grandchild scale of 6L 4s, expanding it by 12 tones. Generators that produce this scale range from 381.8 ¢ to 400 ¢, or from 200 ¢ to 218.2 ¢.

It has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a "diatonic" whole tone of no more than 4/22edo (218.182 ¢).

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 6L 16s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\22						381.818	218.182	1:1	1.000	Equalized 6L 16s
					37\116	382.759	217.241	6:5	1.200
				30\94		382.979	217.021	5:4	1.250
					53\166	383.133	216.867	9:7	1.286
			23\72			383.333	216.667	4:3	1.333	Supersoft 6L 16s
					62\194	383.505	216.495	11:8	1.375
				39\122		383.607	216.393	7:5	1.400
					55\172	383.721	216.279	10:7	1.429
		16\50				384.000	216.000	3:2	1.500	Soft 6L 16s
					57\178	384.270	215.730	11:7	1.571
				41\128		384.375	215.625	8:5	1.600
					66\206	384.466	215.534	13:8	1.625
			25\78			384.615	215.385	5:3	1.667	Semisoft 6L 16s
					59\184	384.783	215.217	12:7	1.714
				34\106		384.906	215.094	7:4	1.750
					43\134	385.075	214.925	9:5	1.800
	9\28					385.714	214.286	2:1	2.000	Basic 6L 16s Scales with tunings softer than this are proper
					38\118	386.441	213.559	9:4	2.250
				29\90		386.667	213.333	7:3	2.333
					49\152	386.842	213.158	12:5	2.400
			20\62			387.097	212.903	5:2	2.500	Semihard 6L 16s
					51\158	387.342	212.658	13:5	2.600
				31\96		387.500	212.500	8:3	2.667
					42\130	387.692	212.308	11:4	2.750
		11\34				388.235	211.765	3:1	3.000	Hard 6L 16s
					35\108	388.889	211.111	10:3	3.333
				24\74		389.189	210.811	7:2	3.500
					37\114	389.474	210.526	11:3	3.667
			13\40			390.000	210.000	4:1	4.000	Superhard 6L 16s
					28\86	390.698	209.302	9:2	4.500
				15\46		391.304	208.696	5:1	5.000
					17\52	392.308	207.692	6:1	6.000
2\6						400.000	200.000	1:0	→ ∞	Collapsed 6L 16s