17L 12s

Todo: cleanup populate with entries

↖ 16L 11s	↑ 17L 11s	18L 11s ↗
← 16L 12s	17L 12s	18L 12s →
↙ 16L 13s	↓ 17L 13s	18L 13s ↘

Scale structure
Step pattern	LLsLsLLsLsLLsLsLsLLsLsLLsLsLs sLsLsLLsLsLLsLsLsLLsLsLLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\29 to 10\17 (703.4 ¢ to 705.9 ¢)
Dark	7\17 to 12\29 (494.1 ¢ to 496.6 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	5:2 to 3:1 (quasihard)
Related MOS scales
Parent	12L 5s
Sister	12L 17s
Daughters	29L 17s, 17L 29s
Neutralized	5L 24s
2-Flought	46L 12s, 17L 41s
Equal tunings
Equalized (L:s = 1:1)	17\29 (703.4 ¢)
Supersoft (L:s = 4:3)	61\104 (703.8 ¢)
Soft (L:s = 3:2)	44\75 (704.0 ¢)
Semisoft (L:s = 5:3)	71\121 (704.1 ¢)
Basic (L:s = 2:1)	27\46 (704.3 ¢)
Semihard (L:s = 5:2)	64\109 (704.6 ¢)
Hard (L:s = 3:1)	37\63 (704.8 ¢)
Superhard (L:s = 4:1)	47\80 (705.0 ¢)
Collapsed (L:s = 1:0)	10\17 (705.9 ¢)
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17L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 12 small steps, repeating every octave. 17L 12s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 703.4 ¢ to 705.9 ¢, or from 494.1 ¢ to 496.6 ¢. This MOS, belonging to the Leapday and Grackle temperaments, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 cents sharp. That is to say, its region includes all linear combinations of 17edo and 29edo and divides at 80edo into Margo Schulter's gentle region extending down to 29edo and a yet-unnamed region extending up to 17edo.

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 17L 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
17\29						703.448	496.552	1:1	1.000	Equalized 17L 12s
					95\162	703.704	496.296	6:5	1.200
				78\133		703.759	496.241	5:4	1.250
					139\237	703.797	496.203	9:7	1.286
			61\104			703.846	496.154	4:3	1.333	Supersoft 17L 12s
					166\283	703.887	496.113	11:8	1.375
				105\179		703.911	496.089	7:5	1.400
					149\254	703.937	496.063	10:7	1.429
		44\75				704.000	496.000	3:2	1.500	Soft 17L 12s
					159\271	704.059	495.941	11:7	1.571
				115\196		704.082	495.918	8:5	1.600
					186\317	704.101	495.899	13:8	1.625
			71\121			704.132	495.868	5:3	1.667	Semisoft 17L 12s
					169\288	704.167	495.833	12:7	1.714
				98\167		704.192	495.808	7:4	1.750
					125\213	704.225	495.775	9:5	1.800
	27\46					704.348	495.652	2:1	2.000	Basic 17L 12s Scales with tunings softer than this are proper
					118\201	704.478	495.522	9:4	2.250
				91\155		704.516	495.484	7:3	2.333
					155\264	704.545	495.455	12:5	2.400
			64\109			704.587	495.413	5:2	2.500	Semihard 17L 12s
					165\281	704.626	495.374	13:5	2.600
				101\172		704.651	495.349	8:3	2.667
					138\235	704.681	495.319	11:4	2.750
		37\63				704.762	495.238	3:1	3.000	Hard 17L 12s
					121\206	704.854	495.146	10:3	3.333
				84\143		704.895	495.105	7:2	3.500
					131\223	704.933	495.067	11:3	3.667
			47\80			705.000	495.000	4:1	4.000	Superhard 17L 12s
					104\177	705.085	494.915	9:2	4.500
				57\97		705.155	494.845	5:1	5.000
					67\114	705.263	494.737	6:1	6.000
10\17						705.882	494.118	1:0	→ ∞	Collapsed 17L 12s