6L 17s

Todo: review Adopt scale tree template, review entries

↖ 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
Related to	5L 1s (machinoid)
With tunings	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

generator								L	s	L/s	gen (cents)	comment
1\6								1	0		200.000
							11\65	8	1	8.000	203.077
						10\59		7	1	7.000	203.390
							19\112	13	2	6.500	203.571
					9\53			6	1	6.000	203.774
						17\100		11	2	5.500	204.000
							25\147	16	3	5.333	204.082	Baldy is optimal around here
				8\47				5	1	5.000	204.255
						23\135		14	3	4.667	204.444
					15\88			9	2	4.500	204.545
						22\129		13	3	4.333	204.651
			7\41					4	1	4.000	204.878	Quadrimage
					20\117			11	3	3.667	205.128
				13\76				7	2	3.500	205.263
					19\111			10	3	3.333	205.405
						25\146		13	4	3.250	205.479
		6\35						3	1	3.000	205.714
					23\134			11	4	2.750	205.970
				17\99				8	3	2.667	206.061
			11\64					5	2	2.500	206.250
				16\93				7	3	2.333	206.452
					21\122			9	4	2.250	206.557
	5\29							2	1	2.000	206.897
					24\139			9	5	1.800	207.194
				19\110				7	4	1.750	207.273
			14\81					5	3	1.667	207.407
				23\133				8	5	1.600	207.519
		9\52						3	2	1.500	207.692
				22\127				7	5	1.400	207.874
			13\75					4	3	1.333	208.000
				17\98				5	4	1.250	208.163
					21\121			6	5	1.200	208.264
						25\144		7	6	1.167	208.333
							28\167	8	7	1.143	208.198
4\23								1	1	1.000	208.696