17L 7s

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

┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║║│║║│║║║│║║│║║││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLLsLLsLLLsLLsLLs sLLsLLsLLLsLLsLLLsLLsLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	7\24 to 5\17 (350.0¢ to 352.9¢)
Dark	12\17 to 17\24 (847.1¢ to 850.0¢)
TAMNAMS information
Descends from	7L 3s (dicoid)
Required step ratio range	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	7L 10s
Sister	7L 17s
Daughters	24L 17s 17L 24s
Equal tunings
Equalized (L:s = 1:1)	7\24 (350.0¢)
Supersoft (L:s = 4:3)	26\89 (350.6¢)
Soft (L:s = 3:2)	19\65 (350.8¢)
Semisoft (L:s = 5:3)	31\106 (350.9¢)
Basic (L:s = 2:1)	12\41 (351.2¢)
Semihard (L:s = 5:2)	29\99 (351.5¢)
Hard (L:s = 3:1)	17\58 (351.7¢)
Superhard (L:s = 4:1)	22\75 (352.0¢)
Collapsed (L:s = 1:0)	5\17 (352.9¢)

17L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 7 small steps, repeating every octave. 17L 7s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 350¢ to 352.9¢, or from 847.1¢ to 850¢.

Modes

Modes of 17L 7s

UDP	Rotational order	Step pattern
23|0	1	LLLsLLsLLLsLLsLLLsLLsLLs
22|1	8	LLLsLLsLLLsLLsLLsLLLsLLs
21|2	15	LLLsLLsLLsLLLsLLsLLLsLLs
20|3	22	LLsLLLsLLsLLLsLLsLLLsLLs
19|4	5	LLsLLLsLLsLLLsLLsLLsLLLs
18|5	12	LLsLLLsLLsLLsLLLsLLsLLLs
17|6	19	LLsLLsLLLsLLsLLLsLLsLLLs
16|7	2	LLsLLsLLLsLLsLLLsLLsLLsL
15|8	9	LLsLLsLLLsLLsLLsLLLsLLsL
14|9	16	LLsLLsLLsLLLsLLsLLLsLLsL
13|10	23	LsLLLsLLsLLLsLLsLLLsLLsL
12|11	6	LsLLLsLLsLLLsLLsLLsLLLsL
11|12	13	LsLLLsLLsLLsLLLsLLsLLLsL
10|13	20	LsLLsLLLsLLsLLLsLLsLLLsL
9|14	3	LsLLsLLLsLLsLLLsLLsLLsLL
8|15	10	LsLLsLLLsLLsLLsLLLsLLsLL
7|16	17	LsLLsLLsLLLsLLsLLLsLLsLL
6|17	24	sLLLsLLsLLLsLLsLLLsLLsLL
5|18	7	sLLLsLLsLLLsLLsLLsLLLsLL
4|19	14	sLLLsLLsLLsLLLsLLsLLLsLL
3|20	21	sLLsLLLsLLsLLLsLLsLLLsLL
2|21	4	sLLsLLLsLLsLLLsLLsLLsLLL
1|22	11	sLLsLLLsLLsLLsLLLsLLsLLL
0|23	18	sLLsLLsLLLsLLsLLLsLLsLLL

Scale tree

Scale tree and tuning spectrum of 17L 7s

Generator (edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\24						350.000	850.000	1:1	1.000	Equalized 17L 7s
					40\137	350.365	849.635	6:5	1.200
				33\113		350.442	849.558	5:4	1.250
					59\202	350.495	849.505	9:7	1.286
			26\89			350.562	849.438	4:3	1.333	Supersoft 17L 7s
					71\243	350.617	849.383	11:8	1.375
				45\154		350.649	849.351	7:5	1.400
					64\219	350.685	849.315	10:7	1.429
		19\65				350.769	849.231	3:2	1.500	Soft 17L 7s
					69\236	350.847	849.153	11:7	1.571
				50\171		350.877	849.123	8:5	1.600
					81\277	350.903	849.097	13:8	1.625
			31\106			350.943	849.057	5:3	1.667	Semisoft 17L 7s
					74\253	350.988	849.012	12:7	1.714
				43\147		351.020	848.980	7:4	1.750
					55\188	351.064	848.936	9:5	1.800
	12\41					351.220	848.780	2:1	2.000	Basic 17L 7s Scales with tunings softer than this are proper
					53\181	351.381	848.619	9:4	2.250
				41\140		351.429	848.571	7:3	2.333
					70\239	351.464	848.536	12:5	2.400
			29\99			351.515	848.485	5:2	2.500	Semihard 17L 7s
					75\256	351.562	848.438	13:5	2.600
				46\157		351.592	848.408	8:3	2.667
					63\215	351.628	848.372	11:4	2.750
		17\58				351.724	848.276	3:1	3.000	Hard 17L 7s
					56\191	351.832	848.168	10:3	3.333
				39\133		351.880	848.120	7:2	3.500
					61\208	351.923	848.077	11:3	3.667
			22\75			352.000	848.000	4:1	4.000	Superhard 17L 7s
					49\167	352.096	847.904	9:2	4.500
				27\92		352.174	847.826	5:1	5.000
					32\109	352.294	847.706	6:1	6.000
5\17						352.941	847.059	1:0	→ ∞	Collapsed 17L 7s

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