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.

Modes

Modes of 17L 5s
UDP	Cyclic order	Step pattern
21\|0	1	LLLLsLLLsLLLLsLLLsLLLs
20\|1	10	LLLLsLLLsLLLsLLLLsLLLs
19\|2	19	LLLsLLLLsLLLsLLLLsLLLs
18\|3	6	LLLsLLLLsLLLsLLLsLLLLs
17\|4	15	LLLsLLLsLLLLsLLLsLLLLs
16\|5	2	LLLsLLLsLLLLsLLLsLLLsL
15\|6	11	LLLsLLLsLLLsLLLLsLLLsL
14\|7	20	LLsLLLLsLLLsLLLLsLLLsL
13\|8	7	LLsLLLLsLLLsLLLsLLLLsL
12\|9	16	LLsLLLsLLLLsLLLsLLLLsL
11\|10	3	LLsLLLsLLLLsLLLsLLLsLL
10\|11	12	LLsLLLsLLLsLLLLsLLLsLL
9\|12	21	LsLLLLsLLLsLLLLsLLLsLL
8\|13	8	LsLLLLsLLLsLLLsLLLLsLL
7\|14	17	LsLLLsLLLLsLLLsLLLLsLL
6\|15	4	LsLLLsLLLLsLLLsLLLsLLL
5\|16	13	LsLLLsLLLsLLLLsLLLsLLL
4\|17	22	sLLLLsLLLsLLLLsLLLsLLL
3\|18	9	sLLLLsLLLsLLLsLLLLsLLL
2\|19	18	sLLLsLLLLsLLLsLLLLsLLL
1\|20	5	sLLLsLLLLsLLLsLLLsLLLL
0\|21	14	sLLLsLLLsLLLLsLLLsLLLL

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 5s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
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