17L 2s

↖16L 1s	↑17L 1s	18L 1s↗
←16L 2s	17L 2s	18L 2s→
↙16L 3s	↓17L 3s	18L 3s↘

┌╥╥╥╥╥╥╥╥╥┬╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║│║║║║║║║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLLLLsLLLLLLLLs sLLLLLLLLsLLLLLLLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	10\19 to 9\17 (631.6¢ to 635.3¢)
Dark	8\17 to 9\19 (564.7¢ to 568.4¢)
TAMNAMS information
Descends from	2L 7s (balzano)
Required step ratio range	5:1 to 6:1
Related MOS scales
Parent	2L 15s
Sister	2L 17s
Daughters	19L 17s 17L 19s
Equal tunings
Equalized (L:s = 1:1)	10\19 (631.6¢)
Supersoft (L:s = 4:3)	39\74 (632.4¢)
Soft (L:s = 3:2)	29\55 (632.7¢)
Semisoft (L:s = 5:3)	48\91 (633.0¢)
Basic (L:s = 2:1)	19\36 (633.3¢)
Semihard (L:s = 5:2)	47\89 (633.7¢)
Hard (L:s = 3:1)	28\53 (634.0¢)
Superhard (L:s = 4:1)	37\70 (634.3¢)
Collapsed (L:s = 1:0)	9\17 (635.3¢)

17L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 2 small steps, repeating every octave. 17L 2s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 631.6¢ to 635.3¢, or from 564.7¢ to 568.4¢.

Modes

Modes of 17L 2s

UDP	Rotational order	Step pattern
18|0	1	LLLLLLLLLsLLLLLLLLs
17|1	11	LLLLLLLLsLLLLLLLLLs
16|2	2	LLLLLLLLsLLLLLLLLsL
15|3	12	LLLLLLLsLLLLLLLLLsL
14|4	3	LLLLLLLsLLLLLLLLsLL
13|5	13	LLLLLLsLLLLLLLLLsLL
12|6	4	LLLLLLsLLLLLLLLsLLL
11|7	14	LLLLLsLLLLLLLLLsLLL
10|8	5	LLLLLsLLLLLLLLsLLLL
9|9	15	LLLLsLLLLLLLLLsLLLL
8|10	6	LLLLsLLLLLLLLsLLLLL
7|11	16	LLLsLLLLLLLLLsLLLLL
6|12	7	LLLsLLLLLLLLsLLLLLL
5|13	17	LLsLLLLLLLLLsLLLLLL
4|14	8	LLsLLLLLLLLsLLLLLLL
3|15	18	LsLLLLLLLLLsLLLLLLL
2|16	9	LsLLLLLLLLsLLLLLLLL
1|17	19	sLLLLLLLLLsLLLLLLLL
0|18	10	sLLLLLLLLsLLLLLLLLL

Scale tree

Scale tree and tuning spectrum of 17L 2s

Generator (edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
10\19						631.579	568.421	1:1	1.000	Equalized 17L 2s
					59\112	632.143	567.857	6:5	1.200
				49\93		632.258	567.742	5:4	1.250
					88\167	632.335	567.665	9:7	1.286
			39\74			632.432	567.568	4:3	1.333	Supersoft 17L 2s
					107\203	632.512	567.488	11:8	1.375
				68\129		632.558	567.442	7:5	1.400
					97\184	632.609	567.391	10:7	1.429
		29\55				632.727	567.273	3:2	1.500	Soft 17L 2s
					106\201	632.836	567.164	11:7	1.571
				77\146		632.877	567.123	8:5	1.600
					125\237	632.911	567.089	13:8	1.625
			48\91			632.967	567.033	5:3	1.667	Semisoft 17L 2s
					115\218	633.028	566.972	12:7	1.714
				67\127		633.071	566.929	7:4	1.750
					86\163	633.129	566.871	9:5	1.800
	19\36					633.333	566.667	2:1	2.000	Basic 17L 2s Scales with tunings softer than this are proper
					85\161	633.540	566.460	9:4	2.250
				66\125		633.600	566.400	7:3	2.333
					113\214	633.645	566.355	12:5	2.400
			47\89			633.708	566.292	5:2	2.500	Semihard 17L 2s
					122\231	633.766	566.234	13:5	2.600
				75\142		633.803	566.197	8:3	2.667
					103\195	633.846	566.154	11:4	2.750
		28\53				633.962	566.038	3:1	3.000	Hard 17L 2s
					93\176	634.091	565.909	10:3	3.333
				65\123		634.146	565.854	7:2	3.500
					102\193	634.197	565.803	11:3	3.667
			37\70			634.286	565.714	4:1	4.000	Superhard 17L 2s
					83\157	634.395	565.605	9:2	4.500
				46\87		634.483	565.517	5:1	5.000
					55\104	634.615	565.385	6:1	6.000
9\17						635.294	564.706	1:0	→ ∞	Collapsed 17L 2s

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