17L 3s

↖ 16L 2s	↑ 17L 2s	18L 2s ↗
← 16L 3s	17L 3s	18L 3s →
↙ 16L 4s	↓ 17L 4s	18L 4s ↘

┌╥╥╥╥╥╥┬╥╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║║│║║║║║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLsLLLLLLsLLLLLs sLLLLLsLLLLLLsLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\20 to 6\17 (420.0 ¢ to 423.5 ¢)
Dark	11\17 to 13\20 (776.5 ¢ to 780.0 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	4:1 to 5:1
Related MOS scales
Parent	3L 14s
Sister	3L 17s
Daughters	20L 17s, 17L 20s
Neutralized	14L 6s
2-Flought	37L 3s, 17L 23s
Equal tunings
Equalized (L:s = 1:1)	7\20 (420.0 ¢)
Supersoft (L:s = 4:3)	27\77 (420.8 ¢)
Soft (L:s = 3:2)	20\57 (421.1 ¢)
Semisoft (L:s = 5:3)	33\94 (421.3 ¢)
Basic (L:s = 2:1)	13\37 (421.6 ¢)
Semihard (L:s = 5:2)	32\91 (422.0 ¢)
Hard (L:s = 3:1)	19\54 (422.2 ¢)
Superhard (L:s = 4:1)	25\71 (422.5 ¢)
Collapsed (L:s = 1:0)	6\17 (423.5 ¢)

17L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 3 small steps, repeating every octave. 17L 3s is related to 3L 5s, expanding it by 12 tones. Generators that produce this scale range from 420 ¢ to 423.5 ¢, or from 776.5 ¢ to 780 ¢.

Modes

Modes of 17L 3s

UDP	Cyclic order	Step pattern
19|0	1	LLLLLLsLLLLLLsLLLLLs
18|1	8	LLLLLLsLLLLLsLLLLLLs
17|2	15	LLLLLsLLLLLLsLLLLLLs
16|3	2	LLLLLsLLLLLLsLLLLLsL
15|4	9	LLLLLsLLLLLsLLLLLLsL
14|5	16	LLLLsLLLLLLsLLLLLLsL
13|6	3	LLLLsLLLLLLsLLLLLsLL
12|7	10	LLLLsLLLLLsLLLLLLsLL
11|8	17	LLLsLLLLLLsLLLLLLsLL
10|9	4	LLLsLLLLLLsLLLLLsLLL
9|10	11	LLLsLLLLLsLLLLLLsLLL
8|11	18	LLsLLLLLLsLLLLLLsLLL
7|12	5	LLsLLLLLLsLLLLLsLLLL
6|13	12	LLsLLLLLsLLLLLLsLLLL
5|14	19	LsLLLLLLsLLLLLLsLLLL
4|15	6	LsLLLLLLsLLLLLsLLLLL
3|16	13	LsLLLLLsLLLLLLsLLLLL
2|17	20	sLLLLLLsLLLLLLsLLLLL
1|18	7	sLLLLLLsLLLLLsLLLLLL
0|19	14	sLLLLLsLLLLLLsLLLLLL

Intervals

Intervals of 17L 3s

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 60.0 ¢
	Major 1-mosstep	M1ms	L	60.0 ¢ to 70.6 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	70.6 ¢ to 120.0 ¢
	Major 2-mosstep	M2ms	2L	120.0 ¢ to 141.2 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	141.2 ¢ to 180.0 ¢
	Major 3-mosstep	M3ms	3L	180.0 ¢ to 211.8 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	211.8 ¢ to 240.0 ¢
	Major 4-mosstep	M4ms	4L	240.0 ¢ to 282.4 ¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	282.4 ¢ to 300.0 ¢
	Major 5-mosstep	M5ms	5L	300.0 ¢ to 352.9 ¢
6-mosstep	Minor 6-mosstep	m6ms	5L + s	352.9 ¢ to 360.0 ¢
	Major 6-mosstep	M6ms	6L	360.0 ¢ to 423.5 ¢
7-mosstep	Diminished 7-mosstep	d7ms	5L + 2s	352.9 ¢ to 420.0 ¢
	Perfect 7-mosstep	P7ms	6L + s	420.0 ¢ to 423.5 ¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	423.5 ¢ to 480.0 ¢
	Major 8-mosstep	M8ms	7L + s	480.0 ¢ to 494.1 ¢
9-mosstep	Minor 9-mosstep	m9ms	7L + 2s	494.1 ¢ to 540.0 ¢
	Major 9-mosstep	M9ms	8L + s	540.0 ¢ to 564.7 ¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	564.7 ¢ to 600.0 ¢
	Major 10-mosstep	M10ms	9L + s	600.0 ¢ to 635.3 ¢
11-mosstep	Minor 11-mosstep	m11ms	9L + 2s	635.3 ¢ to 660.0 ¢
	Major 11-mosstep	M11ms	10L + s	660.0 ¢ to 705.9 ¢
12-mosstep	Minor 12-mosstep	m12ms	10L + 2s	705.9 ¢ to 720.0 ¢
	Major 12-mosstep	M12ms	11L + s	720.0 ¢ to 776.5 ¢
13-mosstep	Perfect 13-mosstep	P13ms	11L + 2s	776.5 ¢ to 780.0 ¢
	Augmented 13-mosstep	A13ms	12L + s	780.0 ¢ to 847.1 ¢
14-mosstep	Minor 14-mosstep	m14ms	11L + 3s	776.5 ¢ to 840.0 ¢
	Major 14-mosstep	M14ms	12L + 2s	840.0 ¢ to 847.1 ¢
15-mosstep	Minor 15-mosstep	m15ms	12L + 3s	847.1 ¢ to 900.0 ¢
	Major 15-mosstep	M15ms	13L + 2s	900.0 ¢ to 917.6 ¢
16-mosstep	Minor 16-mosstep	m16ms	13L + 3s	917.6 ¢ to 960.0 ¢
	Major 16-mosstep	M16ms	14L + 2s	960.0 ¢ to 988.2 ¢
17-mosstep	Minor 17-mosstep	m17ms	14L + 3s	988.2 ¢ to 1020.0 ¢
	Major 17-mosstep	M17ms	15L + 2s	1020.0 ¢ to 1058.8 ¢
18-mosstep	Minor 18-mosstep	m18ms	15L + 3s	1058.8 ¢ to 1080.0 ¢
	Major 18-mosstep	M18ms	16L + 2s	1080.0 ¢ to 1129.4 ¢
19-mosstep	Minor 19-mosstep	m19ms	16L + 3s	1129.4 ¢ to 1140.0 ¢
	Major 19-mosstep	M19ms	17L + 2s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	17L + 3s	1200.0 ¢

Scale tree

This page is a stub. You can help the Xenharmonic Wiki by expanding it.