17L 12s

Todo: complete table populate scale tree with entries

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

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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 ¢)

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 temperament, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 ¢ 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 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 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	Golden neogothic (704.096 ¢)
			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	Polypyth
					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 Leapweek
					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 Leapfrog
					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