6L 17s

↖ 5L 16s	↑ 6L 16s	7L 16s ↗
← 5L 17s	6L 17s	7L 17s →
↙ 5L 18s	↓ 6L 18s	7L 18s ↘

┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║│││║│││║│││║││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLsssLsssLsssLsssLsss sssLsssLsssLsssLsssLssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	19\23 to 5\6 (991.3¢ to 1000.0¢)
Dark	1\6 to 4\23 (200.0¢ to 208.7¢)
TAMNAMS information
Descends from	5L 1s (machinoid)
Ancestor's step ratio range	1:1 to 4:3 (ultrasoft)
Related MOS scales
Parent	6L 11s
Sister	17L 6s
Daughters	23L 6s, 6L 23s
Neutralized	12L 11s
2-Flought	29L 17s, 6L 40s
Equal tunings
Equalized (L:s = 1:1)	19\23 (991.3¢)
Supersoft (L:s = 4:3)	62\75 (992.0¢)
Soft (L:s = 3:2)	43\52 (992.3¢)
Semisoft (L:s = 5:3)	67\81 (992.6¢)
Basic (L:s = 2:1)	24\29 (993.1¢)
Semihard (L:s = 5:2)	53\64 (993.8¢)
Hard (L:s = 3:1)	29\35 (994.3¢)
Superhard (L:s = 4:1)	34\41 (995.1¢)
Collapsed (L:s = 1:0)	5\6 (1000.0¢)

6L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 17 small steps, repeating every octave. 6L 17s is a great-grandchild scale of 5L 1s, expanding it by 17 tones. Generators that produce this scale range from 991.3¢ to 1000¢, or from 200¢ to 208.7¢.

Modes

Modes of 6L 17s

UDP	Cyclic order	Step pattern
22|0	1	LssLsssLsssLsssLsssLsss
21|1	20	LsssLssLsssLsssLsssLsss
20|2	16	LsssLsssLssLsssLsssLsss
19|3	12	LsssLsssLsssLssLsssLsss
18|4	8	LsssLsssLsssLsssLssLsss
17|5	4	LsssLsssLsssLsssLsssLss
16|6	23	sLssLsssLsssLsssLsssLss
15|7	19	sLsssLssLsssLsssLsssLss
14|8	15	sLsssLsssLssLsssLsssLss
13|9	11	sLsssLsssLsssLssLsssLss
12|10	7	sLsssLsssLsssLsssLssLss
11|11	3	sLsssLsssLsssLsssLsssLs
10|12	22	ssLssLsssLsssLsssLsssLs
9|13	18	ssLsssLssLsssLsssLsssLs
8|14	14	ssLsssLsssLssLsssLsssLs
7|15	10	ssLsssLsssLsssLssLsssLs
6|16	6	ssLsssLsssLsssLsssLssLs
5|17	2	ssLsssLsssLsssLsssLsssL
4|18	21	sssLssLsssLsssLsssLsssL
3|19	17	sssLsssLssLsssLsssLsssL
2|20	13	sssLsssLsssLssLsssLsssL
1|21	9	sssLsssLsssLsssLssLsssL
0|22	5	sssLsssLsssLsssLsssLssL

Tuning spectrum

Todo: review Review entries from past page revision and enter them into the scale tree.

Scale Tree and Tuning Spectrum of 6L 17s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
19\23						991.304	208.696	1:1	1.000	Equalized 6L 17s
					100\121	991.736	208.264	6:5	1.200
				81\98		991.837	208.163	5:4	1.250
					143\173	991.908	208.092	9:7	1.286
			62\75			992.000	208.000	4:3	1.333	Supersoft 6L 17s
					167\202	992.079	207.921	11:8	1.375
				105\127		992.126	207.874	7:5	1.400
					148\179	992.179	207.821	10:7	1.429
		43\52				992.308	207.692	3:2	1.500	Soft 6L 17s
					153\185	992.432	207.568	11:7	1.571
				110\133		992.481	207.519	8:5	1.600
					177\214	992.523	207.477	13:8	1.625
			67\81			992.593	207.407	5:3	1.667	Semisoft 6L 17s
					158\191	992.670	207.330	12:7	1.714
				91\110		992.727	207.273	7:4	1.750
					115\139	992.806	207.194	9:5	1.800
	24\29					993.103	206.897	2:1	2.000	Basic 6L 17s Scales with tunings softer than this are proper
					101\122	993.443	206.557	9:4	2.250
				77\93		993.548	206.452	7:3	2.333
					130\157	993.631	206.369	12:5	2.400
			53\64			993.750	206.250	5:2	2.500	Semihard 6L 17s
					135\163	993.865	206.135	13:5	2.600
				82\99		993.939	206.061	8:3	2.667
					111\134	994.030	205.970	11:4	2.750
		29\35				994.286	205.714	3:1	3.000	Hard 6L 17s
					92\111	994.595	205.405	10:3	3.333
				63\76		994.737	205.263	7:2	3.500
					97\117	994.872	205.128	11:3	3.667
			34\41			995.122	204.878	4:1	4.000	Superhard 6L 17s
					73\88	995.455	204.545	9:2	4.500
				39\47		995.745	204.255	5:1	5.000
					44\53	996.226	203.774	6:1	6.000
5\6						1000.000	200.000	1:0	→ ∞	Collapsed 6L 17s