16L 5s

↖ 15L 4s	↑ 16L 4s	17L 4s ↗
← 15L 5s	16L 5s	17L 5s →
↙ 15L 6s	↓ 16L 6s	17L 6s ↘

┌╥╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬┐ │║║║║│║║║│║║║│║║║│║║║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLsLLLsLLLsLLLs sLLLsLLLsLLLsLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\21 to 13\16 (971.4 ¢ to 975.0 ¢)
Dark	3\16 to 4\21 (225.0 ¢ to 228.6 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	5L 11s
Sister	5L 16s
Daughters	21L 16s, 16L 21s
Neutralized	11L 10s
2-Flought	37L 5s, 16L 26s
Equal tunings
Equalized (L:s = 1:1)	17\21 (971.4 ¢)
Supersoft (L:s = 4:3)	64\79 (972.2 ¢)
Soft (L:s = 3:2)	47\58 (972.4 ¢)
Semisoft (L:s = 5:3)	77\95 (972.6 ¢)
Basic (L:s = 2:1)	30\37 (973.0 ¢)
Semihard (L:s = 5:2)	73\90 (973.3 ¢)
Hard (L:s = 3:1)	43\53 (973.6 ¢)
Superhard (L:s = 4:1)	56\69 (973.9 ¢)
Collapsed (L:s = 1:0)	13\16 (975.0 ¢)

16L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 5 small steps, repeating every octave. 16L 5s is a great-grandchild scale of 5L 1s, expanding it by 15 tones. Generators that produce this scale range from 971.4 ¢ to 975 ¢, or from 225 ¢ to 228.6 ¢.

Modes

Modes of 16L 5s

UDP	Cyclic order	Step pattern
20|0	1	LLLLsLLLsLLLsLLLsLLLs
19|1	18	LLLsLLLLsLLLsLLLsLLLs
18|2	14	LLLsLLLsLLLLsLLLsLLLs
17|3	10	LLLsLLLsLLLsLLLLsLLLs
16|4	6	LLLsLLLsLLLsLLLsLLLLs
15|5	2	LLLsLLLsLLLsLLLsLLLsL
14|6	19	LLsLLLLsLLLsLLLsLLLsL
13|7	15	LLsLLLsLLLLsLLLsLLLsL
12|8	11	LLsLLLsLLLsLLLLsLLLsL
11|9	7	LLsLLLsLLLsLLLsLLLLsL
10|10	3	LLsLLLsLLLsLLLsLLLsLL
9|11	20	LsLLLLsLLLsLLLsLLLsLL
8|12	16	LsLLLsLLLLsLLLsLLLsLL
7|13	12	LsLLLsLLLsLLLLsLLLsLL
6|14	8	LsLLLsLLLsLLLsLLLLsLL
5|15	4	LsLLLsLLLsLLLsLLLsLLL
4|16	21	sLLLLsLLLsLLLsLLLsLLL
3|17	17	sLLLsLLLLsLLLsLLLsLLL
2|18	13	sLLLsLLLsLLLLsLLLsLLL
1|19	9	sLLLsLLLsLLLsLLLLsLLL
0|20	5	sLLLsLLLsLLLsLLLsLLLL

Intervals

Intervals of 16L 5s

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 57.1 ¢
	Major 1-mosstep	M1ms	L	57.1 ¢ to 75.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	75.0 ¢ to 114.3 ¢
	Major 2-mosstep	M2ms	2L	114.3 ¢ to 150.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	150.0 ¢ to 171.4 ¢
	Major 3-mosstep	M3ms	3L	171.4 ¢ to 225.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	3L + s	225.0 ¢ to 228.6 ¢
	Augmented 4-mosstep	A4ms	4L	228.6 ¢ to 300.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	225.0 ¢ to 285.7 ¢
	Major 5-mosstep	M5ms	4L + s	285.7 ¢ to 300.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	300.0 ¢ to 342.9 ¢
	Major 6-mosstep	M6ms	5L + s	342.9 ¢ to 375.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	375.0 ¢ to 400.0 ¢
	Major 7-mosstep	M7ms	6L + s	400.0 ¢ to 450.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	450.0 ¢ to 457.1 ¢
	Major 8-mosstep	M8ms	7L + s	457.1 ¢ to 525.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	6L + 3s	450.0 ¢ to 514.3 ¢
	Major 9-mosstep	M9ms	7L + 2s	514.3 ¢ to 525.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	7L + 3s	525.0 ¢ to 571.4 ¢
	Major 10-mosstep	M10ms	8L + 2s	571.4 ¢ to 600.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	8L + 3s	600.0 ¢ to 628.6 ¢
	Major 11-mosstep	M11ms	9L + 2s	628.6 ¢ to 675.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	9L + 3s	675.0 ¢ to 685.7 ¢
	Major 12-mosstep	M12ms	10L + 2s	685.7 ¢ to 750.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	9L + 4s	675.0 ¢ to 742.9 ¢
	Major 13-mosstep	M13ms	10L + 3s	742.9 ¢ to 750.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	10L + 4s	750.0 ¢ to 800.0 ¢
	Major 14-mosstep	M14ms	11L + 3s	800.0 ¢ to 825.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	11L + 4s	825.0 ¢ to 857.1 ¢
	Major 15-mosstep	M15ms	12L + 3s	857.1 ¢ to 900.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	12L + 4s	900.0 ¢ to 914.3 ¢
	Major 16-mosstep	M16ms	13L + 3s	914.3 ¢ to 975.0 ¢
17-mosstep	Diminished 17-mosstep	d17ms	12L + 5s	900.0 ¢ to 971.4 ¢
	Perfect 17-mosstep	P17ms	13L + 4s	971.4 ¢ to 975.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	13L + 5s	975.0 ¢ to 1028.6 ¢
	Major 18-mosstep	M18ms	14L + 4s	1028.6 ¢ to 1050.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	14L + 5s	1050.0 ¢ to 1085.7 ¢
	Major 19-mosstep	M19ms	15L + 4s	1085.7 ¢ to 1125.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	15L + 5s	1125.0 ¢ to 1142.9 ¢
	Major 20-mosstep	M20ms	16L + 4s	1142.9 ¢ to 1200.0 ¢
21-mosstep	Perfect 21-mosstep	P21ms	16L + 5s	1200.0 ¢

Scale tree

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