7L 17s

↖ 6L 16s	↑ 7L 16s	8L 16s ↗
← 6L 17s	7L 17s	8L 17s →
↙ 6L 18s	↓ 7L 18s	8L 18s ↘

┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐ │║││║││║│││║││║│││║││║││││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLsssLssLsssLssLsss sssLssLsssLssLsssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\24 to 5\7 (850.0 ¢ to 857.1 ¢)
Dark	2\7 to 7\24 (342.9 ¢ to 350.0 ¢)
TAMNAMS information
Related to	7L 3s (dicoid)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	7L 10s
Sister	17L 7s
Daughters	24L 7s, 7L 24s
Neutralized	14L 10s
2-Flought	31L 17s, 7L 41s
Equal tunings
Equalized (L:s = 1:1)	17\24 (850.0 ¢)
Supersoft (L:s = 4:3)	56\79 (850.6 ¢)
Soft (L:s = 3:2)	39\55 (850.9 ¢)
Semisoft (L:s = 5:3)	61\86 (851.2 ¢)
Basic (L:s = 2:1)	22\31 (851.6 ¢)
Semihard (L:s = 5:2)	49\69 (852.2 ¢)
Hard (L:s = 3:1)	27\38 (852.6 ¢)
Superhard (L:s = 4:1)	32\45 (853.3 ¢)
Collapsed (L:s = 1:0)	5\7 (857.1 ¢)

7L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 17 small steps, repeating every octave. 7L 17s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 850 ¢ to 857.1 ¢, or from 342.9 ¢ to 350 ¢.

The dark generator serves as an approximate 11/9 (347 ¢), with 11\38 – the low estimate for the boundary of "practicality" – giving this ratio almost exactly.

Notable harmonic entropy minima are mohajira and migration, two alternative extensions of the 2.3.5.11 temperament mohaha to the full 11-limit, merging in 31edo.

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.

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

Scale tree

Scale tree and tuning spectrum of 7L 17s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
17\24						850.000	350.000	1:1	1.000	Equalized 7L 17s
					90\127	850.394	349.606	6:5	1.200
				73\103		850.485	349.515	5:4	1.250
					129\182	850.549	349.451	9:7	1.286
			56\79			850.633	349.367	4:3	1.333	Supersoft 7L 17s
					151\213	850.704	349.296	11:8	1.375
				95\134		850.746	349.254	7:5	1.400
					134\189	850.794	349.206	10:7	1.429
		39\55				850.909	349.091	3:2	1.500	Soft 7L 17s
					139\196	851.020	348.980	11:7	1.571
				100\141		851.064	348.936	8:5	1.600
					161\227	851.101	348.899	13:8	1.625
			61\86			851.163	348.837	5:3	1.667	Semisoft 7L 17s
					144\203	851.232	348.768	12:7	1.714
				83\117		851.282	348.718	7:4	1.750
					105\148	851.351	348.649	9:5	1.800
	22\31					851.613	348.387	2:1	2.000	Basic 7L 17s Scales with tunings softer than this are proper
					93\131	851.908	348.092	9:4	2.250
				71\100		852.000	348.000	7:3	2.333
					120\169	852.071	347.929	12:5	2.400
			49\69			852.174	347.826	5:2	2.500	Semihard 7L 17s
					125\176	852.273	347.727	13:5	2.600
				76\107		852.336	347.664	8:3	2.667
					103\145	852.414	347.586	11:4	2.750
		27\38				852.632	347.368	3:1	3.000	Hard 7L 17s
					86\121	852.893	347.107	10:3	3.333
				59\83		853.012	346.988	7:2	3.500
					91\128	853.125	346.875	11:3	3.667
			32\45			853.333	346.667	4:1	4.000	Superhard 7L 17s
					69\97	853.608	346.392	9:2	4.500
				37\52		853.846	346.154	5:1	5.000
					42\59	854.237	345.763	6:1	6.000
5\7						857.143	342.857	1:0	→ ∞	Collapsed 7L 17s