17L 5s

↖ 16L 4s	↑ 17L 4s	18L 4s ↗
← 16L 5s	17L 5s	18L 5s →
↙ 16L 6s	↓ 17L 6s	18L 6s ↘

Scale structure
Step pattern	LLLLsLLLsLLLLsLLLsLLLs sLLLsLLLsLLLLsLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\22 to 7\17 (490.9 ¢ to 494.1 ¢)
Dark	10\17 to 13\22 (705.9 ¢ to 709.1 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	5L 12s
Sister	5L 17s
Daughters	22L 17s, 17L 22s
Neutralized	12L 10s
2-Flought	39L 5s, 17L 27s
Equal tunings
Equalized (L:s = 1:1)	9\22 (490.9 ¢)
Supersoft (L:s = 4:3)	34\83 (491.6 ¢)
Soft (L:s = 3:2)	25\61 (491.8 ¢)
Semisoft (L:s = 5:3)	41\100 (492.0 ¢)
Basic (L:s = 2:1)	16\39 (492.3 ¢)
Semihard (L:s = 5:2)	39\95 (492.6 ¢)
Hard (L:s = 3:1)	23\56 (492.9 ¢)
Superhard (L:s = 4:1)	30\73 (493.2 ¢)
Collapsed (L:s = 1:0)	7\17 (494.1 ¢)
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17L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 5 small steps, repeating every octave. 17L 5s is a great-grandchild scale of 5L 2s, expanding it by 15 tones. Generators that produce this scale range from 490.9 ¢ to 494.1 ¢, or from 705.9 ¢ to 709.1 ¢. This scale is the parent of another MOS scale that exhibits the fractal-like acoustic effects for which Archagall temperament is named—however, this scale also has tuning areas that don't support these effects.

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.

Template:MOS data is deprecated. Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 17L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\22						490.909	709.091	1:1	1.000	Equalized 17L 5s
					52\127	491.339	708.661	6:5	1.200
				43\105		491.429	708.571	5:4	1.250
					77\188	491.489	708.511	9:7	1.286
			34\83			491.566	708.434	4:3	1.333	Supersoft 17L 5s
					93\227	491.630	708.370	11:8	1.375
				59\144		491.667	708.333	7:5	1.400
					84\205	491.707	708.293	10:7	1.429
		25\61				491.803	708.197	3:2	1.500	Soft 17L 5s
					91\222	491.892	708.108	11:7	1.571
				66\161		491.925	708.075	8:5	1.600
					107\261	491.954	708.046	13:8	1.625
			41\100			492.000	708.000	5:3	1.667	Semisoft 17L 5s
					98\239	492.050	707.950	12:7	1.714
				57\139		492.086	707.914	7:4	1.750
					73\178	492.135	707.865	9:5	1.800
	16\39					492.308	707.692	2:1	2.000	Basic 17L 5s Scales with tunings softer than this are proper
					71\173	492.486	707.514	9:4	2.250
				55\134		492.537	707.463	7:3	2.333
					94\229	492.576	707.424	12:5	2.400
			39\95			492.632	707.368	5:2	2.500	Semihard 17L 5s
					101\246	492.683	707.317	13:5	2.600
				62\151		492.715	707.285	8:3	2.667
					85\207	492.754	707.246	11:4	2.750
		23\56				492.857	707.143	3:1	3.000	Hard 17L 5s
					76\185	492.973	707.027	10:3	3.333
				53\129		493.023	706.977	7:2	3.500
					83\202	493.069	706.931	11:3	3.667
			30\73			493.151	706.849	4:1	4.000	Superhard 17L 5s Archagall
					67\163	493.252	706.748	9:2	4.500
				37\90		493.333	706.667	5:1	5.000
					44\107	493.458	706.542	6:1	6.000
7\17						494.118	705.882	1:0	→ ∞	Collapsed 17L 5s

Todo: expand