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
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

Intervals

Intervals of 6L 17s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 52.2 ¢
	Major 1-mosstep	M1ms	L	52.2 ¢ to 200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 104.3 ¢
	Major 2-mosstep	M2ms	L + s	104.3 ¢ to 200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 156.5 ¢
	Major 3-mosstep	M3ms	L + 2s	156.5 ¢ to 200.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	200.0 ¢ to 208.7 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	208.7 ¢ to 400.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	200.0 ¢ to 260.9 ¢
	Major 5-mosstep	M5ms	2L + 3s	260.9 ¢ to 400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	200.0 ¢ to 313.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	313.0 ¢ to 400.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	200.0 ¢ to 365.2 ¢
	Major 7-mosstep	M7ms	2L + 5s	365.2 ¢ to 400.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	400.0 ¢ to 417.4 ¢
	Major 8-mosstep	M8ms	3L + 5s	417.4 ¢ to 600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	400.0 ¢ to 469.6 ¢
	Major 9-mosstep	M9ms	3L + 6s	469.6 ¢ to 600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	400.0 ¢ to 521.7 ¢
	Major 10-mosstep	M10ms	3L + 7s	521.7 ¢ to 600.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	400.0 ¢ to 573.9 ¢
	Major 11-mosstep	M11ms	3L + 8s	573.9 ¢ to 600.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	3L + 9s	600.0 ¢ to 626.1 ¢
	Major 12-mosstep	M12ms	4L + 8s	626.1 ¢ to 800.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	3L + 10s	600.0 ¢ to 678.3 ¢
	Major 13-mosstep	M13ms	4L + 9s	678.3 ¢ to 800.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	3L + 11s	600.0 ¢ to 730.4 ¢
	Major 14-mosstep	M14ms	4L + 10s	730.4 ¢ to 800.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	600.0 ¢ to 782.6 ¢
	Major 15-mosstep	M15ms	4L + 11s	782.6 ¢ to 800.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	4L + 12s	800.0 ¢ to 834.8 ¢
	Major 16-mosstep	M16ms	5L + 11s	834.8 ¢ to 1000.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	4L + 13s	800.0 ¢ to 887.0 ¢
	Major 17-mosstep	M17ms	5L + 12s	887.0 ¢ to 1000.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	4L + 14s	800.0 ¢ to 939.1 ¢
	Major 18-mosstep	M18ms	5L + 13s	939.1 ¢ to 1000.0 ¢
19-mosstep	Diminished 19-mosstep	d19ms	4L + 15s	800.0 ¢ to 991.3 ¢
	Perfect 19-mosstep	P19ms	5L + 14s	991.3 ¢ to 1000.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	5L + 15s	1000.0 ¢ to 1043.5 ¢
	Major 20-mosstep	M20ms	6L + 14s	1043.5 ¢ to 1200.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	5L + 16s	1000.0 ¢ to 1095.7 ¢
	Major 21-mosstep	M21ms	6L + 15s	1095.7 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	5L + 17s	1000.0 ¢ to 1147.8 ¢
	Major 22-mosstep	M22ms	6L + 16s	1147.8 ¢ to 1200.0 ¢
23-mosstep	Perfect 23-mosstep	P23ms	6L + 17s	1200.0 ¢

Tuning spectrum

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

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