User:MisterShafXen/16L 100s

16L 100s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 100 small steps, with a period of 4 large steps and 25 small steps that repeats every 300.0 ¢, or 4 times every octave. 16L 100s is related to 4L 4s, expanding it by 108 tones. Generators that produce this scale range from 72.4 ¢ to 75 ¢, or from 225 ¢ to 227.6 ¢.

↖ 15L 99s	↑ 16L 99s	17L 99s ↗
← 15L 100s	16L 100s	17L 100s →
↙ 15L 101s	↓ 16L 101s	17L 101s ↘

Scale structure
Step pattern	...116 steps...
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	7\116 to 1\16 (72.4 ¢ to 75.0 ¢)
Dark	3\16 to 22\116 (225.0 ¢ to 227.6 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	3:1 to 22:7
Related MOS scales
Parent	16L 84s
Sister	100L 16s
Daughters	116L 16s, 16L 116s
Neutralized	32L 84s
2-Flought	132L 100s, 16L 216s
Equal tunings
Equalized (L:s = 1:1)	7\116 (72.4 ¢)
Supersoft (L:s = 4:3)	22\364 (72.5 ¢)
Soft (L:s = 3:2)	15\248 (72.6 ¢)
Semisoft (L:s = 5:3)	23\380 (72.6 ¢)
Basic (L:s = 2:1)	8\132 (72.7 ¢)
Semihard (L:s = 5:2)	17\280 (72.9 ¢)
Hard (L:s = 3:1)	9\148 (73.0 ¢)
Superhard (L:s = 4:1)	10\164 (73.2 ¢)
Collapsed (L:s = 1:0)	1\16 (75.0 ¢)
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Scale properties

Intervals of 16L 100s

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 10.3 ¢
	Major 1-mosstep	M1ms	L	10.3 ¢ to 75.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 20.7 ¢
	Major 2-mosstep	M2ms	L + s	20.7 ¢ to 75.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 31.0 ¢
	Major 3-mosstep	M3ms	L + 2s	31.0 ¢ to 75.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 41.4 ¢
	Major 4-mosstep	M4ms	L + 3s	41.4 ¢ to 75.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 51.7 ¢
	Major 5-mosstep	M5ms	L + 4s	51.7 ¢ to 75.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 62.1 ¢
	Major 6-mosstep	M6ms	L + 5s	62.1 ¢ to 75.0 ¢
7-mosstep	Diminished 7-mosstep	d7ms	7s	0.0 ¢ to 72.4 ¢
	Perfect 7-mosstep	P7ms	L + 6s	72.4 ¢ to 75.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	75.0 ¢ to 82.8 ¢
	Major 8-mosstep	M8ms	2L + 6s	82.8 ¢ to 150.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	75.0 ¢ to 93.1 ¢
	Major 9-mosstep	M9ms	2L + 7s	93.1 ¢ to 150.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	75.0 ¢ to 103.4 ¢
	Major 10-mosstep	M10ms	2L + 8s	103.4 ¢ to 150.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	L + 10s	75.0 ¢ to 113.8 ¢
	Major 11-mosstep	M11ms	2L + 9s	113.8 ¢ to 150.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	L + 11s	75.0 ¢ to 124.1 ¢
	Major 12-mosstep	M12ms	2L + 10s	124.1 ¢ to 150.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	L + 12s	75.0 ¢ to 134.5 ¢
	Major 13-mosstep	M13ms	2L + 11s	134.5 ¢ to 150.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	L + 13s	75.0 ¢ to 144.8 ¢
	Major 14-mosstep	M14ms	2L + 12s	144.8 ¢ to 150.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	2L + 13s	150.0 ¢ to 155.2 ¢
	Major 15-mosstep	M15ms	3L + 12s	155.2 ¢ to 225.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	2L + 14s	150.0 ¢ to 165.5 ¢
	Major 16-mosstep	M16ms	3L + 13s	165.5 ¢ to 225.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	2L + 15s	150.0 ¢ to 175.9 ¢
	Major 17-mosstep	M17ms	3L + 14s	175.9 ¢ to 225.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	2L + 16s	150.0 ¢ to 186.2 ¢
	Major 18-mosstep	M18ms	3L + 15s	186.2 ¢ to 225.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	2L + 17s	150.0 ¢ to 196.6 ¢
	Major 19-mosstep	M19ms	3L + 16s	196.6 ¢ to 225.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	2L + 18s	150.0 ¢ to 206.9 ¢
	Major 20-mosstep	M20ms	3L + 17s	206.9 ¢ to 225.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	2L + 19s	150.0 ¢ to 217.2 ¢
	Major 21-mosstep	M21ms	3L + 18s	217.2 ¢ to 225.0 ¢
22-mosstep	Perfect 22-mosstep	P22ms	3L + 19s	225.0 ¢ to 227.6 ¢
	Augmented 22-mosstep	A22ms	4L + 18s	227.6 ¢ to 300.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	3L + 20s	225.0 ¢ to 237.9 ¢
	Major 23-mosstep	M23ms	4L + 19s	237.9 ¢ to 300.0 ¢
24-mosstep	Minor 24-mosstep	m24ms	3L + 21s	225.0 ¢ to 248.3 ¢
	Major 24-mosstep	M24ms	4L + 20s	248.3 ¢ to 300.0 ¢
25-mosstep	Minor 25-mosstep	m25ms	3L + 22s	225.0 ¢ to 258.6 ¢
	Major 25-mosstep	M25ms	4L + 21s	258.6 ¢ to 300.0 ¢
26-mosstep	Minor 26-mosstep	m26ms	3L + 23s	225.0 ¢ to 269.0 ¢
	Major 26-mosstep	M26ms	4L + 22s	269.0 ¢ to 300.0 ¢
27-mosstep	Minor 27-mosstep	m27ms	3L + 24s	225.0 ¢ to 279.3 ¢
	Major 27-mosstep	M27ms	4L + 23s	279.3 ¢ to 300.0 ¢
28-mosstep	Minor 28-mosstep	m28ms	3L + 25s	225.0 ¢ to 289.7 ¢
	Major 28-mosstep	M28ms	4L + 24s	289.7 ¢ to 300.0 ¢
29-mosstep	Perfect 29-mosstep	P29ms	4L + 25s	300.0 ¢
30-mosstep	Minor 30-mosstep	m30ms	4L + 26s	300.0 ¢ to 310.3 ¢
	Major 30-mosstep	M30ms	5L + 25s	310.3 ¢ to 375.0 ¢
31-mosstep	Minor 31-mosstep	m31ms	4L + 27s	300.0 ¢ to 320.7 ¢
	Major 31-mosstep	M31ms	5L + 26s	320.7 ¢ to 375.0 ¢
32-mosstep	Minor 32-mosstep	m32ms	4L + 28s	300.0 ¢ to 331.0 ¢
	Major 32-mosstep	M32ms	5L + 27s	331.0 ¢ to 375.0 ¢
33-mosstep	Minor 33-mosstep	m33ms	4L + 29s	300.0 ¢ to 341.4 ¢
	Major 33-mosstep	M33ms	5L + 28s	341.4 ¢ to 375.0 ¢
34-mosstep	Minor 34-mosstep	m34ms	4L + 30s	300.0 ¢ to 351.7 ¢
	Major 34-mosstep	M34ms	5L + 29s	351.7 ¢ to 375.0 ¢
35-mosstep	Minor 35-mosstep	m35ms	4L + 31s	300.0 ¢ to 362.1 ¢
	Major 35-mosstep	M35ms	5L + 30s	362.1 ¢ to 375.0 ¢
36-mosstep	Diminished 36-mosstep	d36ms	4L + 32s	300.0 ¢ to 372.4 ¢
	Perfect 36-mosstep	P36ms	5L + 31s	372.4 ¢ to 375.0 ¢
37-mosstep	Minor 37-mosstep	m37ms	5L + 32s	375.0 ¢ to 382.8 ¢
	Major 37-mosstep	M37ms	6L + 31s	382.8 ¢ to 450.0 ¢
38-mosstep	Minor 38-mosstep	m38ms	5L + 33s	375.0 ¢ to 393.1 ¢
	Major 38-mosstep	M38ms	6L + 32s	393.1 ¢ to 450.0 ¢
39-mosstep	Minor 39-mosstep	m39ms	5L + 34s	375.0 ¢ to 403.4 ¢
	Major 39-mosstep	M39ms	6L + 33s	403.4 ¢ to 450.0 ¢
40-mosstep	Minor 40-mosstep	m40ms	5L + 35s	375.0 ¢ to 413.8 ¢
	Major 40-mosstep	M40ms	6L + 34s	413.8 ¢ to 450.0 ¢
41-mosstep	Minor 41-mosstep	m41ms	5L + 36s	375.0 ¢ to 424.1 ¢
	Major 41-mosstep	M41ms	6L + 35s	424.1 ¢ to 450.0 ¢
42-mosstep	Minor 42-mosstep	m42ms	5L + 37s	375.0 ¢ to 434.5 ¢
	Major 42-mosstep	M42ms	6L + 36s	434.5 ¢ to 450.0 ¢
43-mosstep	Minor 43-mosstep	m43ms	5L + 38s	375.0 ¢ to 444.8 ¢
	Major 43-mosstep	M43ms	6L + 37s	444.8 ¢ to 450.0 ¢
44-mosstep	Minor 44-mosstep	m44ms	6L + 38s	450.0 ¢ to 455.2 ¢
	Major 44-mosstep	M44ms	7L + 37s	455.2 ¢ to 525.0 ¢
45-mosstep	Minor 45-mosstep	m45ms	6L + 39s	450.0 ¢ to 465.5 ¢
	Major 45-mosstep	M45ms	7L + 38s	465.5 ¢ to 525.0 ¢
46-mosstep	Minor 46-mosstep	m46ms	6L + 40s	450.0 ¢ to 475.9 ¢
	Major 46-mosstep	M46ms	7L + 39s	475.9 ¢ to 525.0 ¢
47-mosstep	Minor 47-mosstep	m47ms	6L + 41s	450.0 ¢ to 486.2 ¢
	Major 47-mosstep	M47ms	7L + 40s	486.2 ¢ to 525.0 ¢
48-mosstep	Minor 48-mosstep	m48ms	6L + 42s	450.0 ¢ to 496.6 ¢
	Major 48-mosstep	M48ms	7L + 41s	496.6 ¢ to 525.0 ¢
49-mosstep	Minor 49-mosstep	m49ms	6L + 43s	450.0 ¢ to 506.9 ¢
	Major 49-mosstep	M49ms	7L + 42s	506.9 ¢ to 525.0 ¢
50-mosstep	Minor 50-mosstep	m50ms	6L + 44s	450.0 ¢ to 517.2 ¢
	Major 50-mosstep	M50ms	7L + 43s	517.2 ¢ to 525.0 ¢
51-mosstep	Perfect 51-mosstep	P51ms	7L + 44s	525.0 ¢ to 527.6 ¢
	Augmented 51-mosstep	A51ms	8L + 43s	527.6 ¢ to 600.0 ¢
52-mosstep	Minor 52-mosstep	m52ms	7L + 45s	525.0 ¢ to 537.9 ¢
	Major 52-mosstep	M52ms	8L + 44s	537.9 ¢ to 600.0 ¢
53-mosstep	Minor 53-mosstep	m53ms	7L + 46s	525.0 ¢ to 548.3 ¢
	Major 53-mosstep	M53ms	8L + 45s	548.3 ¢ to 600.0 ¢
54-mosstep	Minor 54-mosstep	m54ms	7L + 47s	525.0 ¢ to 558.6 ¢
	Major 54-mosstep	M54ms	8L + 46s	558.6 ¢ to 600.0 ¢
55-mosstep	Minor 55-mosstep	m55ms	7L + 48s	525.0 ¢ to 569.0 ¢
	Major 55-mosstep	M55ms	8L + 47s	569.0 ¢ to 600.0 ¢
56-mosstep	Minor 56-mosstep	m56ms	7L + 49s	525.0 ¢ to 579.3 ¢
	Major 56-mosstep	M56ms	8L + 48s	579.3 ¢ to 600.0 ¢
57-mosstep	Minor 57-mosstep	m57ms	7L + 50s	525.0 ¢ to 589.7 ¢
	Major 57-mosstep	M57ms	8L + 49s	589.7 ¢ to 600.0 ¢
58-mosstep	Perfect 58-mosstep	P58ms	8L + 50s	600.0 ¢
59-mosstep	Minor 59-mosstep	m59ms	8L + 51s	600.0 ¢ to 610.3 ¢
	Major 59-mosstep	M59ms	9L + 50s	610.3 ¢ to 675.0 ¢
60-mosstep	Minor 60-mosstep	m60ms	8L + 52s	600.0 ¢ to 620.7 ¢
	Major 60-mosstep	M60ms	9L + 51s	620.7 ¢ to 675.0 ¢
61-mosstep	Minor 61-mosstep	m61ms	8L + 53s	600.0 ¢ to 631.0 ¢
	Major 61-mosstep	M61ms	9L + 52s	631.0 ¢ to 675.0 ¢
62-mosstep	Minor 62-mosstep	m62ms	8L + 54s	600.0 ¢ to 641.4 ¢
	Major 62-mosstep	M62ms	9L + 53s	641.4 ¢ to 675.0 ¢
63-mosstep	Minor 63-mosstep	m63ms	8L + 55s	600.0 ¢ to 651.7 ¢
	Major 63-mosstep	M63ms	9L + 54s	651.7 ¢ to 675.0 ¢
64-mosstep	Minor 64-mosstep	m64ms	8L + 56s	600.0 ¢ to 662.1 ¢
	Major 64-mosstep	M64ms	9L + 55s	662.1 ¢ to 675.0 ¢
65-mosstep	Diminished 65-mosstep	d65ms	8L + 57s	600.0 ¢ to 672.4 ¢
	Perfect 65-mosstep	P65ms	9L + 56s	672.4 ¢ to 675.0 ¢
66-mosstep	Minor 66-mosstep	m66ms	9L + 57s	675.0 ¢ to 682.8 ¢
	Major 66-mosstep	M66ms	10L + 56s	682.8 ¢ to 750.0 ¢
67-mosstep	Minor 67-mosstep	m67ms	9L + 58s	675.0 ¢ to 693.1 ¢
	Major 67-mosstep	M67ms	10L + 57s	693.1 ¢ to 750.0 ¢
68-mosstep	Minor 68-mosstep	m68ms	9L + 59s	675.0 ¢ to 703.4 ¢
	Major 68-mosstep	M68ms	10L + 58s	703.4 ¢ to 750.0 ¢
69-mosstep	Minor 69-mosstep	m69ms	9L + 60s	675.0 ¢ to 713.8 ¢
	Major 69-mosstep	M69ms	10L + 59s	713.8 ¢ to 750.0 ¢
70-mosstep	Minor 70-mosstep	m70ms	9L + 61s	675.0 ¢ to 724.1 ¢
	Major 70-mosstep	M70ms	10L + 60s	724.1 ¢ to 750.0 ¢
71-mosstep	Minor 71-mosstep	m71ms	9L + 62s	675.0 ¢ to 734.5 ¢
	Major 71-mosstep	M71ms	10L + 61s	734.5 ¢ to 750.0 ¢
72-mosstep	Minor 72-mosstep	m72ms	9L + 63s	675.0 ¢ to 744.8 ¢
	Major 72-mosstep	M72ms	10L + 62s	744.8 ¢ to 750.0 ¢
73-mosstep	Minor 73-mosstep	m73ms	10L + 63s	750.0 ¢ to 755.2 ¢
	Major 73-mosstep	M73ms	11L + 62s	755.2 ¢ to 825.0 ¢
74-mosstep	Minor 74-mosstep	m74ms	10L + 64s	750.0 ¢ to 765.5 ¢
	Major 74-mosstep	M74ms	11L + 63s	765.5 ¢ to 825.0 ¢
75-mosstep	Minor 75-mosstep	m75ms	10L + 65s	750.0 ¢ to 775.9 ¢
	Major 75-mosstep	M75ms	11L + 64s	775.9 ¢ to 825.0 ¢
76-mosstep	Minor 76-mosstep	m76ms	10L + 66s	750.0 ¢ to 786.2 ¢
	Major 76-mosstep	M76ms	11L + 65s	786.2 ¢ to 825.0 ¢
77-mosstep	Minor 77-mosstep	m77ms	10L + 67s	750.0 ¢ to 796.6 ¢
	Major 77-mosstep	M77ms	11L + 66s	796.6 ¢ to 825.0 ¢
78-mosstep	Minor 78-mosstep	m78ms	10L + 68s	750.0 ¢ to 806.9 ¢
	Major 78-mosstep	M78ms	11L + 67s	806.9 ¢ to 825.0 ¢
79-mosstep	Minor 79-mosstep	m79ms	10L + 69s	750.0 ¢ to 817.2 ¢
	Major 79-mosstep	M79ms	11L + 68s	817.2 ¢ to 825.0 ¢
80-mosstep	Perfect 80-mosstep	P80ms	11L + 69s	825.0 ¢ to 827.6 ¢
	Augmented 80-mosstep	A80ms	12L + 68s	827.6 ¢ to 900.0 ¢
81-mosstep	Minor 81-mosstep	m81ms	11L + 70s	825.0 ¢ to 837.9 ¢
	Major 81-mosstep	M81ms	12L + 69s	837.9 ¢ to 900.0 ¢
82-mosstep	Minor 82-mosstep	m82ms	11L + 71s	825.0 ¢ to 848.3 ¢
	Major 82-mosstep	M82ms	12L + 70s	848.3 ¢ to 900.0 ¢
83-mosstep	Minor 83-mosstep	m83ms	11L + 72s	825.0 ¢ to 858.6 ¢
	Major 83-mosstep	M83ms	12L + 71s	858.6 ¢ to 900.0 ¢
84-mosstep	Minor 84-mosstep	m84ms	11L + 73s	825.0 ¢ to 869.0 ¢
	Major 84-mosstep	M84ms	12L + 72s	869.0 ¢ to 900.0 ¢
85-mosstep	Minor 85-mosstep	m85ms	11L + 74s	825.0 ¢ to 879.3 ¢
	Major 85-mosstep	M85ms	12L + 73s	879.3 ¢ to 900.0 ¢
86-mosstep	Minor 86-mosstep	m86ms	11L + 75s	825.0 ¢ to 889.7 ¢
	Major 86-mosstep	M86ms	12L + 74s	889.7 ¢ to 900.0 ¢
87-mosstep	Perfect 87-mosstep	P87ms	12L + 75s	900.0 ¢
88-mosstep	Minor 88-mosstep	m88ms	12L + 76s	900.0 ¢ to 910.3 ¢
	Major 88-mosstep	M88ms	13L + 75s	910.3 ¢ to 975.0 ¢
89-mosstep	Minor 89-mosstep	m89ms	12L + 77s	900.0 ¢ to 920.7 ¢
	Major 89-mosstep	M89ms	13L + 76s	920.7 ¢ to 975.0 ¢
90-mosstep	Minor 90-mosstep	m90ms	12L + 78s	900.0 ¢ to 931.0 ¢
	Major 90-mosstep	M90ms	13L + 77s	931.0 ¢ to 975.0 ¢
91-mosstep	Minor 91-mosstep	m91ms	12L + 79s	900.0 ¢ to 941.4 ¢
	Major 91-mosstep	M91ms	13L + 78s	941.4 ¢ to 975.0 ¢
92-mosstep	Minor 92-mosstep	m92ms	12L + 80s	900.0 ¢ to 951.7 ¢
	Major 92-mosstep	M92ms	13L + 79s	951.7 ¢ to 975.0 ¢
93-mosstep	Minor 93-mosstep	m93ms	12L + 81s	900.0 ¢ to 962.1 ¢
	Major 93-mosstep	M93ms	13L + 80s	962.1 ¢ to 975.0 ¢
94-mosstep	Diminished 94-mosstep	d94ms	12L + 82s	900.0 ¢ to 972.4 ¢
	Perfect 94-mosstep	P94ms	13L + 81s	972.4 ¢ to 975.0 ¢
95-mosstep	Minor 95-mosstep	m95ms	13L + 82s	975.0 ¢ to 982.8 ¢
	Major 95-mosstep	M95ms	14L + 81s	982.8 ¢ to 1050.0 ¢
96-mosstep	Minor 96-mosstep	m96ms	13L + 83s	975.0 ¢ to 993.1 ¢
	Major 96-mosstep	M96ms	14L + 82s	993.1 ¢ to 1050.0 ¢
97-mosstep	Minor 97-mosstep	m97ms	13L + 84s	975.0 ¢ to 1003.4 ¢
	Major 97-mosstep	M97ms	14L + 83s	1003.4 ¢ to 1050.0 ¢
98-mosstep	Minor 98-mosstep	m98ms	13L + 85s	975.0 ¢ to 1013.8 ¢
	Major 98-mosstep	M98ms	14L + 84s	1013.8 ¢ to 1050.0 ¢
99-mosstep	Minor 99-mosstep	m99ms	13L + 86s	975.0 ¢ to 1024.1 ¢
	Major 99-mosstep	M99ms	14L + 85s	1024.1 ¢ to 1050.0 ¢
100-mosstep	Minor 100-mosstep	m100ms	13L + 87s	975.0 ¢ to 1034.5 ¢
	Major 100-mosstep	M100ms	14L + 86s	1034.5 ¢ to 1050.0 ¢
101-mosstep	Minor 101-mosstep	m101ms	13L + 88s	975.0 ¢ to 1044.8 ¢
	Major 101-mosstep	M101ms	14L + 87s	1044.8 ¢ to 1050.0 ¢
102-mosstep	Minor 102-mosstep	m102ms	14L + 88s	1050.0 ¢ to 1055.2 ¢
	Major 102-mosstep	M102ms	15L + 87s	1055.2 ¢ to 1125.0 ¢
103-mosstep	Minor 103-mosstep	m103ms	14L + 89s	1050.0 ¢ to 1065.5 ¢
	Major 103-mosstep	M103ms	15L + 88s	1065.5 ¢ to 1125.0 ¢
104-mosstep	Minor 104-mosstep	m104ms	14L + 90s	1050.0 ¢ to 1075.9 ¢
	Major 104-mosstep	M104ms	15L + 89s	1075.9 ¢ to 1125.0 ¢
105-mosstep	Minor 105-mosstep	m105ms	14L + 91s	1050.0 ¢ to 1086.2 ¢
	Major 105-mosstep	M105ms	15L + 90s	1086.2 ¢ to 1125.0 ¢
106-mosstep	Minor 106-mosstep	m106ms	14L + 92s	1050.0 ¢ to 1096.6 ¢
	Major 106-mosstep	M106ms	15L + 91s	1096.6 ¢ to 1125.0 ¢
107-mosstep	Minor 107-mosstep	m107ms	14L + 93s	1050.0 ¢ to 1106.9 ¢
	Major 107-mosstep	M107ms	15L + 92s	1106.9 ¢ to 1125.0 ¢
108-mosstep	Minor 108-mosstep	m108ms	14L + 94s	1050.0 ¢ to 1117.2 ¢
	Major 108-mosstep	M108ms	15L + 93s	1117.2 ¢ to 1125.0 ¢
109-mosstep	Perfect 109-mosstep	P109ms	15L + 94s	1125.0 ¢ to 1127.6 ¢
	Augmented 109-mosstep	A109ms	16L + 93s	1127.6 ¢ to 1200.0 ¢
110-mosstep	Minor 110-mosstep	m110ms	15L + 95s	1125.0 ¢ to 1137.9 ¢
	Major 110-mosstep	M110ms	16L + 94s	1137.9 ¢ to 1200.0 ¢
111-mosstep	Minor 111-mosstep	m111ms	15L + 96s	1125.0 ¢ to 1148.3 ¢
	Major 111-mosstep	M111ms	16L + 95s	1148.3 ¢ to 1200.0 ¢
112-mosstep	Minor 112-mosstep	m112ms	15L + 97s	1125.0 ¢ to 1158.6 ¢
	Major 112-mosstep	M112ms	16L + 96s	1158.6 ¢ to 1200.0 ¢
113-mosstep	Minor 113-mosstep	m113ms	15L + 98s	1125.0 ¢ to 1169.0 ¢
	Major 113-mosstep	M113ms	16L + 97s	1169.0 ¢ to 1200.0 ¢
114-mosstep	Minor 114-mosstep	m114ms	15L + 99s	1125.0 ¢ to 1179.3 ¢
	Major 114-mosstep	M114ms	16L + 98s	1179.3 ¢ to 1200.0 ¢
115-mosstep	Minor 115-mosstep	m115ms	15L + 100s	1125.0 ¢ to 1189.7 ¢
	Major 115-mosstep	M115ms	16L + 99s	1189.7 ¢ to 1200.0 ¢
116-mosstep	Perfect 116-mosstep	P116ms	16L + 100s	1200.0 ¢

Generator chain of 16L 100s

Bright gens	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.	Scale degree	Abbrev.
32	Augmented 21-mosdegree	A21md	Augmented 50-mosdegree	A50md	Augmented 79-mosdegree	A79md	Augmented 108-mosdegree	A108md
31	Augmented 14-mosdegree	A14md	Augmented 43-mosdegree	A43md	Augmented 72-mosdegree	A72md	Augmented 101-mosdegree	A101md
30	Augmented 7-mosdegree	A7md	Augmented 36-mosdegree	A36md	Augmented 65-mosdegree	A65md	Augmented 94-mosdegree	A94md
29	Augmented 0-mosdegree	A0md	Augmented 29-mosdegree	A29md	Augmented 58-mosdegree	A58md	Augmented 87-mosdegree	A87md
28	Augmented 22-mosdegree	A22md	Augmented 51-mosdegree	A51md	Augmented 80-mosdegree	A80md	Augmented 109-mosdegree	A109md
27	Major 15-mosdegree	M15md	Major 44-mosdegree	M44md	Major 73-mosdegree	M73md	Major 102-mosdegree	M102md
26	Major 8-mosdegree	M8md	Major 37-mosdegree	M37md	Major 66-mosdegree	M66md	Major 95-mosdegree	M95md
25	Major 1-mosdegree	M1md	Major 30-mosdegree	M30md	Major 59-mosdegree	M59md	Major 88-mosdegree	M88md
24	Major 23-mosdegree	M23md	Major 52-mosdegree	M52md	Major 81-mosdegree	M81md	Major 110-mosdegree	M110md
23	Major 16-mosdegree	M16md	Major 45-mosdegree	M45md	Major 74-mosdegree	M74md	Major 103-mosdegree	M103md
22	Major 9-mosdegree	M9md	Major 38-mosdegree	M38md	Major 67-mosdegree	M67md	Major 96-mosdegree	M96md
21	Major 2-mosdegree	M2md	Major 31-mosdegree	M31md	Major 60-mosdegree	M60md	Major 89-mosdegree	M89md
20	Major 24-mosdegree	M24md	Major 53-mosdegree	M53md	Major 82-mosdegree	M82md	Major 111-mosdegree	M111md
19	Major 17-mosdegree	M17md	Major 46-mosdegree	M46md	Major 75-mosdegree	M75md	Major 104-mosdegree	M104md
18	Major 10-mosdegree	M10md	Major 39-mosdegree	M39md	Major 68-mosdegree	M68md	Major 97-mosdegree	M97md
17	Major 3-mosdegree	M3md	Major 32-mosdegree	M32md	Major 61-mosdegree	M61md	Major 90-mosdegree	M90md
16	Major 25-mosdegree	M25md	Major 54-mosdegree	M54md	Major 83-mosdegree	M83md	Major 112-mosdegree	M112md
15	Major 18-mosdegree	M18md	Major 47-mosdegree	M47md	Major 76-mosdegree	M76md	Major 105-mosdegree	M105md
14	Major 11-mosdegree	M11md	Major 40-mosdegree	M40md	Major 69-mosdegree	M69md	Major 98-mosdegree	M98md
13	Major 4-mosdegree	M4md	Major 33-mosdegree	M33md	Major 62-mosdegree	M62md	Major 91-mosdegree	M91md
12	Major 26-mosdegree	M26md	Major 55-mosdegree	M55md	Major 84-mosdegree	M84md	Major 113-mosdegree	M113md
11	Major 19-mosdegree	M19md	Major 48-mosdegree	M48md	Major 77-mosdegree	M77md	Major 106-mosdegree	M106md
10	Major 12-mosdegree	M12md	Major 41-mosdegree	M41md	Major 70-mosdegree	M70md	Major 99-mosdegree	M99md
9	Major 5-mosdegree	M5md	Major 34-mosdegree	M34md	Major 63-mosdegree	M63md	Major 92-mosdegree	M92md
8	Major 27-mosdegree	M27md	Major 56-mosdegree	M56md	Major 85-mosdegree	M85md	Major 114-mosdegree	M114md
7	Major 20-mosdegree	M20md	Major 49-mosdegree	M49md	Major 78-mosdegree	M78md	Major 107-mosdegree	M107md
6	Major 13-mosdegree	M13md	Major 42-mosdegree	M42md	Major 71-mosdegree	M71md	Major 100-mosdegree	M100md
5	Major 6-mosdegree	M6md	Major 35-mosdegree	M35md	Major 64-mosdegree	M64md	Major 93-mosdegree	M93md
4	Major 28-mosdegree	M28md	Major 57-mosdegree	M57md	Major 86-mosdegree	M86md	Major 115-mosdegree	M115md
3	Major 21-mosdegree	M21md	Major 50-mosdegree	M50md	Major 79-mosdegree	M79md	Major 108-mosdegree	M108md
2	Major 14-mosdegree	M14md	Major 43-mosdegree	M43md	Major 72-mosdegree	M72md	Major 101-mosdegree	M101md
1	Perfect 7-mosdegree	P7md	Perfect 36-mosdegree	P36md	Perfect 65-mosdegree	P65md	Perfect 94-mosdegree	P94md
0	Perfect 0-mosdegree Perfect 29-mosdegree	P0md P29md	Perfect 29-mosdegree Perfect 58-mosdegree	P29md P58md	Perfect 58-mosdegree Perfect 87-mosdegree	P58md P87md	Perfect 87-mosdegree Perfect 116-mosdegree	P87md P116md
−1	Perfect 22-mosdegree	P22md	Perfect 51-mosdegree	P51md	Perfect 80-mosdegree	P80md	Perfect 109-mosdegree	P109md
−2	Minor 15-mosdegree	m15md	Minor 44-mosdegree	m44md	Minor 73-mosdegree	m73md	Minor 102-mosdegree	m102md
−3	Minor 8-mosdegree	m8md	Minor 37-mosdegree	m37md	Minor 66-mosdegree	m66md	Minor 95-mosdegree	m95md
−4	Minor 1-mosdegree	m1md	Minor 30-mosdegree	m30md	Minor 59-mosdegree	m59md	Minor 88-mosdegree	m88md
−5	Minor 23-mosdegree	m23md	Minor 52-mosdegree	m52md	Minor 81-mosdegree	m81md	Minor 110-mosdegree	m110md
−6	Minor 16-mosdegree	m16md	Minor 45-mosdegree	m45md	Minor 74-mosdegree	m74md	Minor 103-mosdegree	m103md
−7	Minor 9-mosdegree	m9md	Minor 38-mosdegree	m38md	Minor 67-mosdegree	m67md	Minor 96-mosdegree	m96md
−8	Minor 2-mosdegree	m2md	Minor 31-mosdegree	m31md	Minor 60-mosdegree	m60md	Minor 89-mosdegree	m89md
−9	Minor 24-mosdegree	m24md	Minor 53-mosdegree	m53md	Minor 82-mosdegree	m82md	Minor 111-mosdegree	m111md
−10	Minor 17-mosdegree	m17md	Minor 46-mosdegree	m46md	Minor 75-mosdegree	m75md	Minor 104-mosdegree	m104md
−11	Minor 10-mosdegree	m10md	Minor 39-mosdegree	m39md	Minor 68-mosdegree	m68md	Minor 97-mosdegree	m97md
−12	Minor 3-mosdegree	m3md	Minor 32-mosdegree	m32md	Minor 61-mosdegree	m61md	Minor 90-mosdegree	m90md
−13	Minor 25-mosdegree	m25md	Minor 54-mosdegree	m54md	Minor 83-mosdegree	m83md	Minor 112-mosdegree	m112md
−14	Minor 18-mosdegree	m18md	Minor 47-mosdegree	m47md	Minor 76-mosdegree	m76md	Minor 105-mosdegree	m105md
−15	Minor 11-mosdegree	m11md	Minor 40-mosdegree	m40md	Minor 69-mosdegree	m69md	Minor 98-mosdegree	m98md
−16	Minor 4-mosdegree	m4md	Minor 33-mosdegree	m33md	Minor 62-mosdegree	m62md	Minor 91-mosdegree	m91md
−17	Minor 26-mosdegree	m26md	Minor 55-mosdegree	m55md	Minor 84-mosdegree	m84md	Minor 113-mosdegree	m113md
−18	Minor 19-mosdegree	m19md	Minor 48-mosdegree	m48md	Minor 77-mosdegree	m77md	Minor 106-mosdegree	m106md
−19	Minor 12-mosdegree	m12md	Minor 41-mosdegree	m41md	Minor 70-mosdegree	m70md	Minor 99-mosdegree	m99md
−20	Minor 5-mosdegree	m5md	Minor 34-mosdegree	m34md	Minor 63-mosdegree	m63md	Minor 92-mosdegree	m92md
−21	Minor 27-mosdegree	m27md	Minor 56-mosdegree	m56md	Minor 85-mosdegree	m85md	Minor 114-mosdegree	m114md
−22	Minor 20-mosdegree	m20md	Minor 49-mosdegree	m49md	Minor 78-mosdegree	m78md	Minor 107-mosdegree	m107md
−23	Minor 13-mosdegree	m13md	Minor 42-mosdegree	m42md	Minor 71-mosdegree	m71md	Minor 100-mosdegree	m100md
−24	Minor 6-mosdegree	m6md	Minor 35-mosdegree	m35md	Minor 64-mosdegree	m64md	Minor 93-mosdegree	m93md
−25	Minor 28-mosdegree	m28md	Minor 57-mosdegree	m57md	Minor 86-mosdegree	m86md	Minor 115-mosdegree	m115md
−26	Minor 21-mosdegree	m21md	Minor 50-mosdegree	m50md	Minor 79-mosdegree	m79md	Minor 108-mosdegree	m108md
−27	Minor 14-mosdegree	m14md	Minor 43-mosdegree	m43md	Minor 72-mosdegree	m72md	Minor 101-mosdegree	m101md
−28	Diminished 7-mosdegree	d7md	Diminished 36-mosdegree	d36md	Diminished 65-mosdegree	d65md	Diminished 94-mosdegree	d94md
−29	Diminished 29-mosdegree	d29md	Diminished 58-mosdegree	d58md	Diminished 87-mosdegree	d87md	Diminished 116-mosdegree	d116md
−30	Diminished 22-mosdegree	d22md	Diminished 51-mosdegree	d51md	Diminished 80-mosdegree	d80md	Diminished 109-mosdegree	d109md
−31	Diminished 15-mosdegree	d15md	Diminished 44-mosdegree	d44md	Diminished 73-mosdegree	d73md	Diminished 102-mosdegree	d102md
−32	Diminished 8-mosdegree	d8md	Diminished 37-mosdegree	d37md	Diminished 66-mosdegree	d66md	Diminished 95-mosdegree	d95md

Modes of 16L 100s

UDP	Cyclic order	Step pattern
112|0(4)	1	LssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssss
108|4(4)	8	LssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssss
104|8(4)	15	LssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssss
100|12(4)	22	LsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssss
96|16(4)	29	sLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLssssss
92|20(4)	7	sLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLsssss
88|24(4)	14	sLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLsssss
84|28(4)	21	sLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLsssss
80|32(4)	28	ssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssss
76|36(4)	6	ssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssss
72|40(4)	13	ssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssss
68|44(4)	20	ssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssss
64|48(4)	27	sssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLssss
60|52(4)	5	sssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLsss
56|56(4)	12	sssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLsss
52|60(4)	19	sssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLsss
48|64(4)	26	ssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsss
44|68(4)	4	ssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLss
40|72(4)	11	ssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLss
36|76(4)	18	ssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLss
32|80(4)	25	sssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLss
28|84(4)	3	sssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLs
24|88(4)	10	sssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLs
20|92(4)	17	sssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLs
16|96(4)	24	ssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLs
12|100(4)	2	ssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssL
8|104(4)	9	ssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssL
4|108(4)	16	ssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssL
0|112(4)	23	sssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssLsssssssLssssssLssssssLssssssL

Scale tree

Scale tree and tuning spectrum of 16L 100s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\116						72.414	227.586	1:1	1.000	Equalized 16L 100s
					36\596	72.483	227.517	6:5	1.200
				29\480		72.500	227.500	5:4	1.250
					51\844	72.512	227.488	9:7	1.286
			22\364			72.527	227.473	4:3	1.333	Supersoft 16L 100s
					59\976	72.541	227.459	11:8	1.375
				37\612		72.549	227.451	7:5	1.400
					52\860	72.558	227.442	10:7	1.429
		15\248				72.581	227.419	3:2	1.500	Soft 16L 100s
					53\876	72.603	227.397	11:7	1.571
				38\628		72.611	227.389	8:5	1.600
					61\1008	72.619	227.381	13:8	1.625
			23\380			72.632	227.368	5:3	1.667	Semisoft 16L 100s
					54\892	72.646	227.354	12:7	1.714
				31\512		72.656	227.344	7:4	1.750
					39\644	72.671	227.329	9:5	1.800
	8\132					72.727	227.273	2:1	2.000	Basic 16L 100s Scales with tunings softer than this are proper
					33\544	72.794	227.206	9:4	2.250
				25\412		72.816	227.184	7:3	2.333
					42\692	72.832	227.168	12:5	2.400
			17\280			72.857	227.143	5:2	2.500	Semihard 16L 100s
					43\708	72.881	227.119	13:5	2.600
				26\428		72.897	227.103	8:3	2.667
					35\576	72.917	227.083	11:4	2.750
		9\148				72.973	227.027	3:1	3.000	Hard 16L 100s
					28\460	73.043	226.957	10:3	3.333
				19\312		73.077	226.923	7:2	3.500
					29\476	73.109	226.891	11:3	3.667
			10\164			73.171	226.829	4:1	4.000	Superhard 16L 100s
					21\344	73.256	226.744	9:2	4.500
				11\180		73.333	226.667	5:1	5.000
					12\196	73.469	226.531	6:1	6.000
1\16						75.000	225.000	1:0	→ ∞	Collapsed 16L 100s