User:MisterShafXen/18L 64s

18L 64s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 18 large steps and 64 small steps, with a period of 9 large steps and 32 small steps that repeats every 600.0 ¢, or twice every octave. 18L 64s is related to 8L 2s, expanding it by 72 tones. Generators that produce this scale range from 131.7 ¢ to 133.3 ¢, or from 466.7 ¢ to 468.3 ¢.

↖ 17L 63s	↑ 18L 63s	19L 63s ↗
← 17L 64s	18L 64s	19L 64s →
↙ 17L 65s	↓ 18L 65s	19L 65s ↘

Scale structure
Step pattern	...82 steps...
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	9\82 to 2\18 (131.7 ¢ to 133.3 ¢)
Dark	7\18 to 32\82 (466.7 ¢ to 468.3 ¢)
TAMNAMS information
Related to	8L 2s (taric)
With tunings	9:5 to 2:1
Related MOS scales
Parent	18L 46s
Sister	64L 18s
Daughters	82L 18s, 18L 82s
Neutralized	36L 46s
2-Flought	100L 64s, 18L 146s
Equal tunings
Equalized (L:s = 1:1)	9\82 (131.7 ¢)
Supersoft (L:s = 4:3)	29\264 (131.8 ¢)
Soft (L:s = 3:2)	20\182 (131.9 ¢)
Semisoft (L:s = 5:3)	31\282 (131.9 ¢)
Basic (L:s = 2:1)	11\100 (132.0 ¢)
Semihard (L:s = 5:2)	24\218 (132.1 ¢)
Hard (L:s = 3:1)	13\118 (132.2 ¢)
Superhard (L:s = 4:1)	15\136 (132.4 ¢)
Collapsed (L:s = 1:0)	2\18 (133.3 ¢)
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Scale properties

Intervals of 18L 64s

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 14.6 ¢
	Major 1-mosstep	M1ms	L	14.6 ¢ to 66.7 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 29.3 ¢
	Major 2-mosstep	M2ms	L + s	29.3 ¢ to 66.7 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 43.9 ¢
	Major 3-mosstep	M3ms	L + 2s	43.9 ¢ to 66.7 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 58.5 ¢
	Major 4-mosstep	M4ms	L + 3s	58.5 ¢ to 66.7 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	66.7 ¢ to 73.2 ¢
	Major 5-mosstep	M5ms	2L + 3s	73.2 ¢ to 133.3 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	66.7 ¢ to 87.8 ¢
	Major 6-mosstep	M6ms	2L + 4s	87.8 ¢ to 133.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	66.7 ¢ to 102.4 ¢
	Major 7-mosstep	M7ms	2L + 5s	102.4 ¢ to 133.3 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	66.7 ¢ to 117.1 ¢
	Major 8-mosstep	M8ms	2L + 6s	117.1 ¢ to 133.3 ¢
9-mosstep	Diminished 9-mosstep	d9ms	L + 8s	66.7 ¢ to 131.7 ¢
	Perfect 9-mosstep	P9ms	2L + 7s	131.7 ¢ to 133.3 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	133.3 ¢ to 146.3 ¢
	Major 10-mosstep	M10ms	3L + 7s	146.3 ¢ to 200.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	133.3 ¢ to 161.0 ¢
	Major 11-mosstep	M11ms	3L + 8s	161.0 ¢ to 200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	133.3 ¢ to 175.6 ¢
	Major 12-mosstep	M12ms	3L + 9s	175.6 ¢ to 200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	133.3 ¢ to 190.2 ¢
	Major 13-mosstep	M13ms	3L + 10s	190.2 ¢ to 200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	3L + 11s	200.0 ¢ to 204.9 ¢
	Major 14-mosstep	M14ms	4L + 10s	204.9 ¢ to 266.7 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	200.0 ¢ to 219.5 ¢
	Major 15-mosstep	M15ms	4L + 11s	219.5 ¢ to 266.7 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	200.0 ¢ to 234.1 ¢
	Major 16-mosstep	M16ms	4L + 12s	234.1 ¢ to 266.7 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	200.0 ¢ to 248.8 ¢
	Major 17-mosstep	M17ms	4L + 13s	248.8 ¢ to 266.7 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	200.0 ¢ to 263.4 ¢
	Major 18-mosstep	M18ms	4L + 14s	263.4 ¢ to 266.7 ¢
19-mosstep	Minor 19-mosstep	m19ms	4L + 15s	266.7 ¢ to 278.0 ¢
	Major 19-mosstep	M19ms	5L + 14s	278.0 ¢ to 333.3 ¢
20-mosstep	Minor 20-mosstep	m20ms	4L + 16s	266.7 ¢ to 292.7 ¢
	Major 20-mosstep	M20ms	5L + 15s	292.7 ¢ to 333.3 ¢
21-mosstep	Minor 21-mosstep	m21ms	4L + 17s	266.7 ¢ to 307.3 ¢
	Major 21-mosstep	M21ms	5L + 16s	307.3 ¢ to 333.3 ¢
22-mosstep	Minor 22-mosstep	m22ms	4L + 18s	266.7 ¢ to 322.0 ¢
	Major 22-mosstep	M22ms	5L + 17s	322.0 ¢ to 333.3 ¢
23-mosstep	Minor 23-mosstep	m23ms	5L + 18s	333.3 ¢ to 336.6 ¢
	Major 23-mosstep	M23ms	6L + 17s	336.6 ¢ to 400.0 ¢
24-mosstep	Minor 24-mosstep	m24ms	5L + 19s	333.3 ¢ to 351.2 ¢
	Major 24-mosstep	M24ms	6L + 18s	351.2 ¢ to 400.0 ¢
25-mosstep	Minor 25-mosstep	m25ms	5L + 20s	333.3 ¢ to 365.9 ¢
	Major 25-mosstep	M25ms	6L + 19s	365.9 ¢ to 400.0 ¢
26-mosstep	Minor 26-mosstep	m26ms	5L + 21s	333.3 ¢ to 380.5 ¢
	Major 26-mosstep	M26ms	6L + 20s	380.5 ¢ to 400.0 ¢
27-mosstep	Minor 27-mosstep	m27ms	5L + 22s	333.3 ¢ to 395.1 ¢
	Major 27-mosstep	M27ms	6L + 21s	395.1 ¢ to 400.0 ¢
28-mosstep	Minor 28-mosstep	m28ms	6L + 22s	400.0 ¢ to 409.8 ¢
	Major 28-mosstep	M28ms	7L + 21s	409.8 ¢ to 466.7 ¢
29-mosstep	Minor 29-mosstep	m29ms	6L + 23s	400.0 ¢ to 424.4 ¢
	Major 29-mosstep	M29ms	7L + 22s	424.4 ¢ to 466.7 ¢
30-mosstep	Minor 30-mosstep	m30ms	6L + 24s	400.0 ¢ to 439.0 ¢
	Major 30-mosstep	M30ms	7L + 23s	439.0 ¢ to 466.7 ¢
31-mosstep	Minor 31-mosstep	m31ms	6L + 25s	400.0 ¢ to 453.7 ¢
	Major 31-mosstep	M31ms	7L + 24s	453.7 ¢ to 466.7 ¢
32-mosstep	Perfect 32-mosstep	P32ms	7L + 25s	466.7 ¢ to 468.3 ¢
	Augmented 32-mosstep	A32ms	8L + 24s	468.3 ¢ to 533.3 ¢
33-mosstep	Minor 33-mosstep	m33ms	7L + 26s	466.7 ¢ to 482.9 ¢
	Major 33-mosstep	M33ms	8L + 25s	482.9 ¢ to 533.3 ¢
34-mosstep	Minor 34-mosstep	m34ms	7L + 27s	466.7 ¢ to 497.6 ¢
	Major 34-mosstep	M34ms	8L + 26s	497.6 ¢ to 533.3 ¢
35-mosstep	Minor 35-mosstep	m35ms	7L + 28s	466.7 ¢ to 512.2 ¢
	Major 35-mosstep	M35ms	8L + 27s	512.2 ¢ to 533.3 ¢
36-mosstep	Minor 36-mosstep	m36ms	7L + 29s	466.7 ¢ to 526.8 ¢
	Major 36-mosstep	M36ms	8L + 28s	526.8 ¢ to 533.3 ¢
37-mosstep	Minor 37-mosstep	m37ms	8L + 29s	533.3 ¢ to 541.5 ¢
	Major 37-mosstep	M37ms	9L + 28s	541.5 ¢ to 600.0 ¢
38-mosstep	Minor 38-mosstep	m38ms	8L + 30s	533.3 ¢ to 556.1 ¢
	Major 38-mosstep	M38ms	9L + 29s	556.1 ¢ to 600.0 ¢
39-mosstep	Minor 39-mosstep	m39ms	8L + 31s	533.3 ¢ to 570.7 ¢
	Major 39-mosstep	M39ms	9L + 30s	570.7 ¢ to 600.0 ¢
40-mosstep	Minor 40-mosstep	m40ms	8L + 32s	533.3 ¢ to 585.4 ¢
	Major 40-mosstep	M40ms	9L + 31s	585.4 ¢ to 600.0 ¢
41-mosstep	Perfect 41-mosstep	P41ms	9L + 32s	600.0 ¢
42-mosstep	Minor 42-mosstep	m42ms	9L + 33s	600.0 ¢ to 614.6 ¢
	Major 42-mosstep	M42ms	10L + 32s	614.6 ¢ to 666.7 ¢
43-mosstep	Minor 43-mosstep	m43ms	9L + 34s	600.0 ¢ to 629.3 ¢
	Major 43-mosstep	M43ms	10L + 33s	629.3 ¢ to 666.7 ¢
44-mosstep	Minor 44-mosstep	m44ms	9L + 35s	600.0 ¢ to 643.9 ¢
	Major 44-mosstep	M44ms	10L + 34s	643.9 ¢ to 666.7 ¢
45-mosstep	Minor 45-mosstep	m45ms	9L + 36s	600.0 ¢ to 658.5 ¢
	Major 45-mosstep	M45ms	10L + 35s	658.5 ¢ to 666.7 ¢
46-mosstep	Minor 46-mosstep	m46ms	10L + 36s	666.7 ¢ to 673.2 ¢
	Major 46-mosstep	M46ms	11L + 35s	673.2 ¢ to 733.3 ¢
47-mosstep	Minor 47-mosstep	m47ms	10L + 37s	666.7 ¢ to 687.8 ¢
	Major 47-mosstep	M47ms	11L + 36s	687.8 ¢ to 733.3 ¢
48-mosstep	Minor 48-mosstep	m48ms	10L + 38s	666.7 ¢ to 702.4 ¢
	Major 48-mosstep	M48ms	11L + 37s	702.4 ¢ to 733.3 ¢
49-mosstep	Minor 49-mosstep	m49ms	10L + 39s	666.7 ¢ to 717.1 ¢
	Major 49-mosstep	M49ms	11L + 38s	717.1 ¢ to 733.3 ¢
50-mosstep	Diminished 50-mosstep	d50ms	10L + 40s	666.7 ¢ to 731.7 ¢
	Perfect 50-mosstep	P50ms	11L + 39s	731.7 ¢ to 733.3 ¢
51-mosstep	Minor 51-mosstep	m51ms	11L + 40s	733.3 ¢ to 746.3 ¢
	Major 51-mosstep	M51ms	12L + 39s	746.3 ¢ to 800.0 ¢
52-mosstep	Minor 52-mosstep	m52ms	11L + 41s	733.3 ¢ to 761.0 ¢
	Major 52-mosstep	M52ms	12L + 40s	761.0 ¢ to 800.0 ¢
53-mosstep	Minor 53-mosstep	m53ms	11L + 42s	733.3 ¢ to 775.6 ¢
	Major 53-mosstep	M53ms	12L + 41s	775.6 ¢ to 800.0 ¢
54-mosstep	Minor 54-mosstep	m54ms	11L + 43s	733.3 ¢ to 790.2 ¢
	Major 54-mosstep	M54ms	12L + 42s	790.2 ¢ to 800.0 ¢
55-mosstep	Minor 55-mosstep	m55ms	12L + 43s	800.0 ¢ to 804.9 ¢
	Major 55-mosstep	M55ms	13L + 42s	804.9 ¢ to 866.7 ¢
56-mosstep	Minor 56-mosstep	m56ms	12L + 44s	800.0 ¢ to 819.5 ¢
	Major 56-mosstep	M56ms	13L + 43s	819.5 ¢ to 866.7 ¢
57-mosstep	Minor 57-mosstep	m57ms	12L + 45s	800.0 ¢ to 834.1 ¢
	Major 57-mosstep	M57ms	13L + 44s	834.1 ¢ to 866.7 ¢
58-mosstep	Minor 58-mosstep	m58ms	12L + 46s	800.0 ¢ to 848.8 ¢
	Major 58-mosstep	M58ms	13L + 45s	848.8 ¢ to 866.7 ¢
59-mosstep	Minor 59-mosstep	m59ms	12L + 47s	800.0 ¢ to 863.4 ¢
	Major 59-mosstep	M59ms	13L + 46s	863.4 ¢ to 866.7 ¢
60-mosstep	Minor 60-mosstep	m60ms	13L + 47s	866.7 ¢ to 878.0 ¢
	Major 60-mosstep	M60ms	14L + 46s	878.0 ¢ to 933.3 ¢
61-mosstep	Minor 61-mosstep	m61ms	13L + 48s	866.7 ¢ to 892.7 ¢
	Major 61-mosstep	M61ms	14L + 47s	892.7 ¢ to 933.3 ¢
62-mosstep	Minor 62-mosstep	m62ms	13L + 49s	866.7 ¢ to 907.3 ¢
	Major 62-mosstep	M62ms	14L + 48s	907.3 ¢ to 933.3 ¢
63-mosstep	Minor 63-mosstep	m63ms	13L + 50s	866.7 ¢ to 922.0 ¢
	Major 63-mosstep	M63ms	14L + 49s	922.0 ¢ to 933.3 ¢
64-mosstep	Minor 64-mosstep	m64ms	14L + 50s	933.3 ¢ to 936.6 ¢
	Major 64-mosstep	M64ms	15L + 49s	936.6 ¢ to 1000.0 ¢
65-mosstep	Minor 65-mosstep	m65ms	14L + 51s	933.3 ¢ to 951.2 ¢
	Major 65-mosstep	M65ms	15L + 50s	951.2 ¢ to 1000.0 ¢
66-mosstep	Minor 66-mosstep	m66ms	14L + 52s	933.3 ¢ to 965.9 ¢
	Major 66-mosstep	M66ms	15L + 51s	965.9 ¢ to 1000.0 ¢
67-mosstep	Minor 67-mosstep	m67ms	14L + 53s	933.3 ¢ to 980.5 ¢
	Major 67-mosstep	M67ms	15L + 52s	980.5 ¢ to 1000.0 ¢
68-mosstep	Minor 68-mosstep	m68ms	14L + 54s	933.3 ¢ to 995.1 ¢
	Major 68-mosstep	M68ms	15L + 53s	995.1 ¢ to 1000.0 ¢
69-mosstep	Minor 69-mosstep	m69ms	15L + 54s	1000.0 ¢ to 1009.8 ¢
	Major 69-mosstep	M69ms	16L + 53s	1009.8 ¢ to 1066.7 ¢
70-mosstep	Minor 70-mosstep	m70ms	15L + 55s	1000.0 ¢ to 1024.4 ¢
	Major 70-mosstep	M70ms	16L + 54s	1024.4 ¢ to 1066.7 ¢
71-mosstep	Minor 71-mosstep	m71ms	15L + 56s	1000.0 ¢ to 1039.0 ¢
	Major 71-mosstep	M71ms	16L + 55s	1039.0 ¢ to 1066.7 ¢
72-mosstep	Minor 72-mosstep	m72ms	15L + 57s	1000.0 ¢ to 1053.7 ¢
	Major 72-mosstep	M72ms	16L + 56s	1053.7 ¢ to 1066.7 ¢
73-mosstep	Perfect 73-mosstep	P73ms	16L + 57s	1066.7 ¢ to 1068.3 ¢
	Augmented 73-mosstep	A73ms	17L + 56s	1068.3 ¢ to 1133.3 ¢
74-mosstep	Minor 74-mosstep	m74ms	16L + 58s	1066.7 ¢ to 1082.9 ¢
	Major 74-mosstep	M74ms	17L + 57s	1082.9 ¢ to 1133.3 ¢
75-mosstep	Minor 75-mosstep	m75ms	16L + 59s	1066.7 ¢ to 1097.6 ¢
	Major 75-mosstep	M75ms	17L + 58s	1097.6 ¢ to 1133.3 ¢
76-mosstep	Minor 76-mosstep	m76ms	16L + 60s	1066.7 ¢ to 1112.2 ¢
	Major 76-mosstep	M76ms	17L + 59s	1112.2 ¢ to 1133.3 ¢
77-mosstep	Minor 77-mosstep	m77ms	16L + 61s	1066.7 ¢ to 1126.8 ¢
	Major 77-mosstep	M77ms	17L + 60s	1126.8 ¢ to 1133.3 ¢
78-mosstep	Minor 78-mosstep	m78ms	17L + 61s	1133.3 ¢ to 1141.5 ¢
	Major 78-mosstep	M78ms	18L + 60s	1141.5 ¢ to 1200.0 ¢
79-mosstep	Minor 79-mosstep	m79ms	17L + 62s	1133.3 ¢ to 1156.1 ¢
	Major 79-mosstep	M79ms	18L + 61s	1156.1 ¢ to 1200.0 ¢
80-mosstep	Minor 80-mosstep	m80ms	17L + 63s	1133.3 ¢ to 1170.7 ¢
	Major 80-mosstep	M80ms	18L + 62s	1170.7 ¢ to 1200.0 ¢
81-mosstep	Minor 81-mosstep	m81ms	17L + 64s	1133.3 ¢ to 1185.4 ¢
	Major 81-mosstep	M81ms	18L + 63s	1185.4 ¢ to 1200.0 ¢
82-mosstep	Perfect 82-mosstep	P82ms	18L + 64s	1200.0 ¢

Generator chain of 18L 64s

Bright gens	Scale degree	Abbrev.	Scale degree	Abbrev.
49	Augmented 31-mosdegree	A31md	Augmented 72-mosdegree	A72md
48	Augmented 22-mosdegree	A22md	Augmented 63-mosdegree	A63md
47	Augmented 13-mosdegree	A13md	Augmented 54-mosdegree	A54md
46	Augmented 4-mosdegree	A4md	Augmented 45-mosdegree	A45md
45	Augmented 36-mosdegree	A36md	Augmented 77-mosdegree	A77md
44	Augmented 27-mosdegree	A27md	Augmented 68-mosdegree	A68md
43	Augmented 18-mosdegree	A18md	Augmented 59-mosdegree	A59md
42	Augmented 9-mosdegree	A9md	Augmented 50-mosdegree	A50md
41	Augmented 0-mosdegree	A0md	Augmented 41-mosdegree	A41md
40	Augmented 32-mosdegree	A32md	Augmented 73-mosdegree	A73md
39	Major 23-mosdegree	M23md	Major 64-mosdegree	M64md
38	Major 14-mosdegree	M14md	Major 55-mosdegree	M55md
37	Major 5-mosdegree	M5md	Major 46-mosdegree	M46md
36	Major 37-mosdegree	M37md	Major 78-mosdegree	M78md
35	Major 28-mosdegree	M28md	Major 69-mosdegree	M69md
34	Major 19-mosdegree	M19md	Major 60-mosdegree	M60md
33	Major 10-mosdegree	M10md	Major 51-mosdegree	M51md
32	Major 1-mosdegree	M1md	Major 42-mosdegree	M42md
31	Major 33-mosdegree	M33md	Major 74-mosdegree	M74md
30	Major 24-mosdegree	M24md	Major 65-mosdegree	M65md
29	Major 15-mosdegree	M15md	Major 56-mosdegree	M56md
28	Major 6-mosdegree	M6md	Major 47-mosdegree	M47md
27	Major 38-mosdegree	M38md	Major 79-mosdegree	M79md
26	Major 29-mosdegree	M29md	Major 70-mosdegree	M70md
25	Major 20-mosdegree	M20md	Major 61-mosdegree	M61md
24	Major 11-mosdegree	M11md	Major 52-mosdegree	M52md
23	Major 2-mosdegree	M2md	Major 43-mosdegree	M43md
22	Major 34-mosdegree	M34md	Major 75-mosdegree	M75md
21	Major 25-mosdegree	M25md	Major 66-mosdegree	M66md
20	Major 16-mosdegree	M16md	Major 57-mosdegree	M57md
19	Major 7-mosdegree	M7md	Major 48-mosdegree	M48md
18	Major 39-mosdegree	M39md	Major 80-mosdegree	M80md
17	Major 30-mosdegree	M30md	Major 71-mosdegree	M71md
16	Major 21-mosdegree	M21md	Major 62-mosdegree	M62md
15	Major 12-mosdegree	M12md	Major 53-mosdegree	M53md
14	Major 3-mosdegree	M3md	Major 44-mosdegree	M44md
13	Major 35-mosdegree	M35md	Major 76-mosdegree	M76md
12	Major 26-mosdegree	M26md	Major 67-mosdegree	M67md
11	Major 17-mosdegree	M17md	Major 58-mosdegree	M58md
10	Major 8-mosdegree	M8md	Major 49-mosdegree	M49md
9	Major 40-mosdegree	M40md	Major 81-mosdegree	M81md
8	Major 31-mosdegree	M31md	Major 72-mosdegree	M72md
7	Major 22-mosdegree	M22md	Major 63-mosdegree	M63md
6	Major 13-mosdegree	M13md	Major 54-mosdegree	M54md
5	Major 4-mosdegree	M4md	Major 45-mosdegree	M45md
4	Major 36-mosdegree	M36md	Major 77-mosdegree	M77md
3	Major 27-mosdegree	M27md	Major 68-mosdegree	M68md
2	Major 18-mosdegree	M18md	Major 59-mosdegree	M59md
1	Perfect 9-mosdegree	P9md	Perfect 50-mosdegree	P50md
0	Perfect 0-mosdegree Perfect 41-mosdegree	P0md P41md	Perfect 41-mosdegree Perfect 82-mosdegree	P41md P82md
−1	Perfect 32-mosdegree	P32md	Perfect 73-mosdegree	P73md
−2	Minor 23-mosdegree	m23md	Minor 64-mosdegree	m64md
−3	Minor 14-mosdegree	m14md	Minor 55-mosdegree	m55md
−4	Minor 5-mosdegree	m5md	Minor 46-mosdegree	m46md
−5	Minor 37-mosdegree	m37md	Minor 78-mosdegree	m78md
−6	Minor 28-mosdegree	m28md	Minor 69-mosdegree	m69md
−7	Minor 19-mosdegree	m19md	Minor 60-mosdegree	m60md
−8	Minor 10-mosdegree	m10md	Minor 51-mosdegree	m51md
−9	Minor 1-mosdegree	m1md	Minor 42-mosdegree	m42md
−10	Minor 33-mosdegree	m33md	Minor 74-mosdegree	m74md
−11	Minor 24-mosdegree	m24md	Minor 65-mosdegree	m65md
−12	Minor 15-mosdegree	m15md	Minor 56-mosdegree	m56md
−13	Minor 6-mosdegree	m6md	Minor 47-mosdegree	m47md
−14	Minor 38-mosdegree	m38md	Minor 79-mosdegree	m79md
−15	Minor 29-mosdegree	m29md	Minor 70-mosdegree	m70md
−16	Minor 20-mosdegree	m20md	Minor 61-mosdegree	m61md
−17	Minor 11-mosdegree	m11md	Minor 52-mosdegree	m52md
−18	Minor 2-mosdegree	m2md	Minor 43-mosdegree	m43md
−19	Minor 34-mosdegree	m34md	Minor 75-mosdegree	m75md
−20	Minor 25-mosdegree	m25md	Minor 66-mosdegree	m66md
−21	Minor 16-mosdegree	m16md	Minor 57-mosdegree	m57md
−22	Minor 7-mosdegree	m7md	Minor 48-mosdegree	m48md
−23	Minor 39-mosdegree	m39md	Minor 80-mosdegree	m80md
−24	Minor 30-mosdegree	m30md	Minor 71-mosdegree	m71md
−25	Minor 21-mosdegree	m21md	Minor 62-mosdegree	m62md
−26	Minor 12-mosdegree	m12md	Minor 53-mosdegree	m53md
−27	Minor 3-mosdegree	m3md	Minor 44-mosdegree	m44md
−28	Minor 35-mosdegree	m35md	Minor 76-mosdegree	m76md
−29	Minor 26-mosdegree	m26md	Minor 67-mosdegree	m67md
−30	Minor 17-mosdegree	m17md	Minor 58-mosdegree	m58md
−31	Minor 8-mosdegree	m8md	Minor 49-mosdegree	m49md
−32	Minor 40-mosdegree	m40md	Minor 81-mosdegree	m81md
−33	Minor 31-mosdegree	m31md	Minor 72-mosdegree	m72md
−34	Minor 22-mosdegree	m22md	Minor 63-mosdegree	m63md
−35	Minor 13-mosdegree	m13md	Minor 54-mosdegree	m54md
−36	Minor 4-mosdegree	m4md	Minor 45-mosdegree	m45md
−37	Minor 36-mosdegree	m36md	Minor 77-mosdegree	m77md
−38	Minor 27-mosdegree	m27md	Minor 68-mosdegree	m68md
−39	Minor 18-mosdegree	m18md	Minor 59-mosdegree	m59md
−40	Diminished 9-mosdegree	d9md	Diminished 50-mosdegree	d50md
−41	Diminished 41-mosdegree	d41md	Diminished 82-mosdegree	d82md
−42	Diminished 32-mosdegree	d32md	Diminished 73-mosdegree	d73md
−43	Diminished 23-mosdegree	d23md	Diminished 64-mosdegree	d64md
−44	Diminished 14-mosdegree	d14md	Diminished 55-mosdegree	d55md
−45	Diminished 5-mosdegree	d5md	Diminished 46-mosdegree	d46md
−46	Diminished 37-mosdegree	d37md	Diminished 78-mosdegree	d78md
−47	Diminished 28-mosdegree	d28md	Diminished 69-mosdegree	d69md
−48	Diminished 19-mosdegree	d19md	Diminished 60-mosdegree	d60md
−49	Diminished 10-mosdegree	d10md	Diminished 51-mosdegree	d51md

Modes of 18L 64s

UDP	Cyclic order	Step pattern
80|0(2)	1	LsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssss
78|2(2)	10	LsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssss
76|4(2)	19	LsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssss
74|6(2)	28	LsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssss
72|8(2)	37	LssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssss
70|10(2)	5	LssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsss
68|12(2)	14	LssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsss
66|14(2)	23	LssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsss
64|16(2)	32	LssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsss
62|18(2)	41	sLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsss
60|20(2)	9	sLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLsss
58|22(2)	18	sLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLsss
56|24(2)	27	sLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLsss
54|26(2)	36	sLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLsss
52|28(2)	4	sLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLss
50|30(2)	13	sLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLss
48|32(2)	22	sLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLss
46|34(2)	31	sLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLss
44|36(2)	40	ssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLss
42|38(2)	8	ssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLss
40|40(2)	17	ssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLss
38|42(2)	26	ssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLss
36|44(2)	35	ssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLss
34|46(2)	3	ssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLs
32|48(2)	12	ssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLs
30|50(2)	21	ssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLs
28|52(2)	30	ssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLs
26|54(2)	39	sssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLs
24|56(2)	7	sssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLs
22|58(2)	16	sssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLs
20|60(2)	25	sssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLs
18|62(2)	34	sssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLs
16|64(2)	2	sssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssL
14|66(2)	11	sssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssL
12|68(2)	20	sssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssL
10|70(2)	29	sssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssL
8|72(2)	38	ssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssL
6|74(2)	6	ssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssL
4|76(2)	15	ssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssL
2|78(2)	24	ssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssL
0|80(2)	33	ssssLssssLsssLssssLsssLssssLsssLssssLsssLssssLssssLsssLssssLsssLssssLsssLssssLsssL

Scale tree

Scale tree and tuning spectrum of 18L 64s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\82						131.707	468.293	1:1	1.000	Equalized 18L 64s
					47\428	131.776	468.224	6:5	1.200
				38\346		131.792	468.208	5:4	1.250
					67\610	131.803	468.197	9:7	1.286
			29\264			131.818	468.182	4:3	1.333	Supersoft 18L 64s
					78\710	131.831	468.169	11:8	1.375
				49\446		131.839	468.161	7:5	1.400
					69\628	131.847	468.153	10:7	1.429
		20\182				131.868	468.132	3:2	1.500	Soft 18L 64s
					71\646	131.889	468.111	11:7	1.571
				51\464		131.897	468.103	8:5	1.600
					82\746	131.903	468.097	13:8	1.625
			31\282			131.915	468.085	5:3	1.667	Semisoft 18L 64s
					73\664	131.928	468.072	12:7	1.714
				42\382		131.937	468.063	7:4	1.750
					53\482	131.950	468.050	9:5	1.800
	11\100					132.000	468.000	2:1	2.000	Basic 18L 64s Scales with tunings softer than this are proper
					46\418	132.057	467.943	9:4	2.250
				35\318		132.075	467.925	7:3	2.333
					59\536	132.090	467.910	12:5	2.400
			24\218			132.110	467.890	5:2	2.500	Semihard 18L 64s
					61\554	132.130	467.870	13:5	2.600
				37\336		132.143	467.857	8:3	2.667
					50\454	132.159	467.841	11:4	2.750
		13\118				132.203	467.797	3:1	3.000	Hard 18L 64s
					41\372	132.258	467.742	10:3	3.333
				28\254		132.283	467.717	7:2	3.500
					43\390	132.308	467.692	11:3	3.667
			15\136			132.353	467.647	4:1	4.000	Superhard 18L 64s
					32\290	132.414	467.586	9:2	4.500
				17\154		132.468	467.532	5:1	5.000
					19\172	132.558	467.442	6:1	6.000
2\18						133.333	466.667	1:0	→ ∞	Collapsed 18L 64s