12L 17s

↖ 11L 16s ↑ 12L 16s 13L 16s ↗

← 11L 17s 12L 17s 13L 17s →

↙ 11L 18s ↓ 12L 18s 13L 18s ↘
	Scale structure
Step pattern	LsLsLssLsLssLsLsLssLsLssLsLss; ssLsLssLsLssLsLsLssLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	12\29 to 5\12 (496.6 ¢ to 500.0 ¢)
Dark	7\12 to 17\29 (700.0 ¢ to 703.4 ¢)
	TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	2:1 to 5:2 (minihard)
	Related MOS scales
Parent	12L 5s
Sister	17L 12s
Daughters	29L 12s, 12L 29s
Neutralized	24L 5s
2-Flought	41L 17s, 12L 46s
	Equal tunings
Equalized (L:s = 1:1)	12\29 (496.6 ¢)
Supersoft (L:s = 4:3)	41\99 (497.0 ¢)
Soft (L:s = 3:2)	29\70 (497.1 ¢)
Semisoft (L:s = 5:3)	46\111 (497.3 ¢)
Basic (L:s = 2:1)	17\41 (497.6 ¢)
Semihard (L:s = 5:2)	39\94 (497.9 ¢)
Hard (L:s = 3:1)	22\53 (498.1 ¢)
Superhard (L:s = 4:1)	27\65 (498.5 ¢)
Collapsed (L:s = 1:0)	5\12 (500.0 ¢)
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12L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 17 small steps, repeating every octave. 12L 17s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 496.6 ¢ to 500 ¢, or from 700 ¢ to 703.4 ¢. Its chroma-positive generator is a near-perfect fourth of no more than 5\12 (500 ¢), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.

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 12L 17s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
12\29						496.552	703.448	1:1	1.000	Equalized 12L 17s
					65\157	496.815	703.185	6:5	1.200
				53\128		496.875	703.125	5:4	1.250
					94\227	496.916	703.084	9:7	1.286
			41\99			496.970	703.030	4:3	1.333	Supersoft 12L 17s
					111\268	497.015	702.985	11:8	1.375
				70\169		497.041	702.959	7:5	1.400
					99\239	497.071	702.929	10:7	1.429
		29\70				497.143	702.857	3:2	1.500	Soft 12L 17s
					104\251	497.211	702.789	11:7	1.571
				75\181		497.238	702.762	8:5	1.600
					121\292	497.260	702.740	13:8	1.625
			46\111			497.297	702.703	5:3	1.667	Semisoft 12L 17s
					109\263	497.338	702.662	12:7	1.714
				63\152		497.368	702.632	7:4	1.750
					80\193	497.409	702.591	9:5	1.800
	17\41					497.561	702.439	2:1	2.000	Basic 12L 17s Scales with tunings softer than this are proper
					73\176	497.727	702.273	9:4	2.250
				56\135		497.778	702.222	7:3	2.333
					95\229	497.817	702.183	12:5	2.400
			39\94			497.872	702.128	5:2	2.500	Semihard 12L 17s
					100\241	497.925	702.075	13:5	2.600
				61\147		497.959	702.041	8:3	2.667
					83\200	498.000	702.000	11:4	2.750
		22\53				498.113	701.887	3:1	3.000	Hard 12L 17s
					71\171	498.246	701.754	10:3	3.333
				49\118		498.305	701.695	7:2	3.500
					76\183	498.361	701.639	11:3	3.667
			27\65			498.462	701.538	4:1	4.000	Superhard 12L 17s
					59\142	498.592	701.408	9:2	4.500
				32\77		498.701	701.299	5:1	5.000
					37\89	498.876	701.124	6:1	6.000
5\12						500.000	700.000	1:0	→ ∞	Collapsed 12L 17s

12L 17s

Scale tree

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