User:MisterShafXen/16L 56s

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16L 56s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 56 small steps, with a period of 2 large steps and 7 small steps that repeats every 150.0 ¢, or 8 times every octave. 16L 56s is related to 8L 8s, expanding it by 56 tones. Generators that produce this scale range from 66.7 ¢ to 75 ¢, or from 75 ¢ to 83.3 ¢.

↖ 15L 55s ↑ 16L 55s 17L 55s ↗
← 15L 56s 16L 56s 17L 56s →
↙ 15L 57s ↓ 16L 57s 17L 57s ↘
Scale structure
Step pattern ...72 steps...
Equave 2/1 (1200.0 ¢)
Period 1\8 (150.0 ¢)
Generator size
Bright 4\72 to 1\16 (66.7 ¢ to 75.0 ¢)
Dark 1\16 to 5\72 (75.0 ¢ to 83.3 ¢)
TAMNAMS information
Related to 8L 8s
With tunings 1:1 to 5:4
Related MOS scales
Parent 16L 40s
Sister 56L 16s
Daughters 72L 16s, 16L 72s
Neutralized 32L 40s
2-Flought 88L 56s, 16L 128s
Equal tunings
Equalized (L:s = 1:1) 4\72 (66.7 ¢)
Supersoft (L:s = 4:3) 13\232 (67.2 ¢)
Soft (L:s = 3:2) 9\160 (67.5 ¢)
Semisoft (L:s = 5:3) 14\248 (67.7 ¢)
Basic (L:s = 2:1) 5\88 (68.2 ¢)
Semihard (L:s = 5:2) 11\192 (68.8 ¢)
Hard (L:s = 3:1) 6\104 (69.2 ¢)
Superhard (L:s = 4:1) 7\120 (70.0 ¢)
Collapsed (L:s = 1:0) 1\16 (75.0 ¢)
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Scale properties

Intervals of 16L 56s
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 16.7 ¢
Major 1-mosstep M1ms L 16.7 ¢ to 75.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 33.3 ¢
Major 2-mosstep M2ms L + s 33.3 ¢ to 75.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 50.0 ¢
Major 3-mosstep M3ms L + 2s 50.0 ¢ to 75.0 ¢
4-mosstep Diminished 4-mosstep d4ms 4s 0.0 ¢ to 66.7 ¢
Perfect 4-mosstep P4ms L + 3s 66.7 ¢ to 75.0 ¢
5-mosstep Perfect 5-mosstep P5ms L + 4s 75.0 ¢ to 83.3 ¢
Augmented 5-mosstep A5ms 2L + 3s 83.3 ¢ to 150.0 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 75.0 ¢ to 100.0 ¢
Major 6-mosstep M6ms 2L + 4s 100.0 ¢ to 150.0 ¢
7-mosstep Minor 7-mosstep m7ms L + 6s 75.0 ¢ to 116.7 ¢
Major 7-mosstep M7ms 2L + 5s 116.7 ¢ to 150.0 ¢
8-mosstep Minor 8-mosstep m8ms L + 7s 75.0 ¢ to 133.3 ¢
Major 8-mosstep M8ms 2L + 6s 133.3 ¢ to 150.0 ¢
9-mosstep Perfect 9-mosstep P9ms 2L + 7s 150.0 ¢
10-mosstep Minor 10-mosstep m10ms 2L + 8s 150.0 ¢ to 166.7 ¢
Major 10-mosstep M10ms 3L + 7s 166.7 ¢ to 225.0 ¢
11-mosstep Minor 11-mosstep m11ms 2L + 9s 150.0 ¢ to 183.3 ¢
Major 11-mosstep M11ms 3L + 8s 183.3 ¢ to 225.0 ¢
12-mosstep Minor 12-mosstep m12ms 2L + 10s 150.0 ¢ to 200.0 ¢
Major 12-mosstep M12ms 3L + 9s 200.0 ¢ to 225.0 ¢
13-mosstep Diminished 13-mosstep d13ms 2L + 11s 150.0 ¢ to 216.7 ¢
Perfect 13-mosstep P13ms 3L + 10s 216.7 ¢ to 225.0 ¢
14-mosstep Perfect 14-mosstep P14ms 3L + 11s 225.0 ¢ to 233.3 ¢
Augmented 14-mosstep A14ms 4L + 10s 233.3 ¢ to 300.0 ¢
15-mosstep Minor 15-mosstep m15ms 3L + 12s 225.0 ¢ to 250.0 ¢
Major 15-mosstep M15ms 4L + 11s 250.0 ¢ to 300.0 ¢
16-mosstep Minor 16-mosstep m16ms 3L + 13s 225.0 ¢ to 266.7 ¢
Major 16-mosstep M16ms 4L + 12s 266.7 ¢ to 300.0 ¢
17-mosstep Minor 17-mosstep m17ms 3L + 14s 225.0 ¢ to 283.3 ¢
Major 17-mosstep M17ms 4L + 13s 283.3 ¢ to 300.0 ¢
18-mosstep Perfect 18-mosstep P18ms 4L + 14s 300.0 ¢
19-mosstep Minor 19-mosstep m19ms 4L + 15s 300.0 ¢ to 316.7 ¢
Major 19-mosstep M19ms 5L + 14s 316.7 ¢ to 375.0 ¢
20-mosstep Minor 20-mosstep m20ms 4L + 16s 300.0 ¢ to 333.3 ¢
Major 20-mosstep M20ms 5L + 15s 333.3 ¢ to 375.0 ¢
21-mosstep Minor 21-mosstep m21ms 4L + 17s 300.0 ¢ to 350.0 ¢
Major 21-mosstep M21ms 5L + 16s 350.0 ¢ to 375.0 ¢
22-mosstep Diminished 22-mosstep d22ms 4L + 18s 300.0 ¢ to 366.7 ¢
Perfect 22-mosstep P22ms 5L + 17s 366.7 ¢ to 375.0 ¢
23-mosstep Perfect 23-mosstep P23ms 5L + 18s 375.0 ¢ to 383.3 ¢
Augmented 23-mosstep A23ms 6L + 17s 383.3 ¢ to 450.0 ¢
24-mosstep Minor 24-mosstep m24ms 5L + 19s 375.0 ¢ to 400.0 ¢
Major 24-mosstep M24ms 6L + 18s 400.0 ¢ to 450.0 ¢
25-mosstep Minor 25-mosstep m25ms 5L + 20s 375.0 ¢ to 416.7 ¢
Major 25-mosstep M25ms 6L + 19s 416.7 ¢ to 450.0 ¢
26-mosstep Minor 26-mosstep m26ms 5L + 21s 375.0 ¢ to 433.3 ¢
Major 26-mosstep M26ms 6L + 20s 433.3 ¢ to 450.0 ¢
27-mosstep Perfect 27-mosstep P27ms 6L + 21s 450.0 ¢
28-mosstep Minor 28-mosstep m28ms 6L + 22s 450.0 ¢ to 466.7 ¢
Major 28-mosstep M28ms 7L + 21s 466.7 ¢ to 525.0 ¢
29-mosstep Minor 29-mosstep m29ms 6L + 23s 450.0 ¢ to 483.3 ¢
Major 29-mosstep M29ms 7L + 22s 483.3 ¢ to 525.0 ¢
30-mosstep Minor 30-mosstep m30ms 6L + 24s 450.0 ¢ to 500.0 ¢
Major 30-mosstep M30ms 7L + 23s 500.0 ¢ to 525.0 ¢
31-mosstep Diminished 31-mosstep d31ms 6L + 25s 450.0 ¢ to 516.7 ¢
Perfect 31-mosstep P31ms 7L + 24s 516.7 ¢ to 525.0 ¢
32-mosstep Perfect 32-mosstep P32ms 7L + 25s 525.0 ¢ to 533.3 ¢
Augmented 32-mosstep A32ms 8L + 24s 533.3 ¢ to 600.0 ¢
33-mosstep Minor 33-mosstep m33ms 7L + 26s 525.0 ¢ to 550.0 ¢
Major 33-mosstep M33ms 8L + 25s 550.0 ¢ to 600.0 ¢
34-mosstep Minor 34-mosstep m34ms 7L + 27s 525.0 ¢ to 566.7 ¢
Major 34-mosstep M34ms 8L + 26s 566.7 ¢ to 600.0 ¢
35-mosstep Minor 35-mosstep m35ms 7L + 28s 525.0 ¢ to 583.3 ¢
Major 35-mosstep M35ms 8L + 27s 583.3 ¢ to 600.0 ¢
36-mosstep Perfect 36-mosstep P36ms 8L + 28s 600.0 ¢
37-mosstep Minor 37-mosstep m37ms 8L + 29s 600.0 ¢ to 616.7 ¢
Major 37-mosstep M37ms 9L + 28s 616.7 ¢ to 675.0 ¢
38-mosstep Minor 38-mosstep m38ms 8L + 30s 600.0 ¢ to 633.3 ¢
Major 38-mosstep M38ms 9L + 29s 633.3 ¢ to 675.0 ¢
39-mosstep Minor 39-mosstep m39ms 8L + 31s 600.0 ¢ to 650.0 ¢
Major 39-mosstep M39ms 9L + 30s 650.0 ¢ to 675.0 ¢
40-mosstep Diminished 40-mosstep d40ms 8L + 32s 600.0 ¢ to 666.7 ¢
Perfect 40-mosstep P40ms 9L + 31s 666.7 ¢ to 675.0 ¢
41-mosstep Perfect 41-mosstep P41ms 9L + 32s 675.0 ¢ to 683.3 ¢
Augmented 41-mosstep A41ms 10L + 31s 683.3 ¢ to 750.0 ¢
42-mosstep Minor 42-mosstep m42ms 9L + 33s 675.0 ¢ to 700.0 ¢
Major 42-mosstep M42ms 10L + 32s 700.0 ¢ to 750.0 ¢
43-mosstep Minor 43-mosstep m43ms 9L + 34s 675.0 ¢ to 716.7 ¢
Major 43-mosstep M43ms 10L + 33s 716.7 ¢ to 750.0 ¢
44-mosstep Minor 44-mosstep m44ms 9L + 35s 675.0 ¢ to 733.3 ¢
Major 44-mosstep M44ms 10L + 34s 733.3 ¢ to 750.0 ¢
45-mosstep Perfect 45-mosstep P45ms 10L + 35s 750.0 ¢
46-mosstep Minor 46-mosstep m46ms 10L + 36s 750.0 ¢ to 766.7 ¢
Major 46-mosstep M46ms 11L + 35s 766.7 ¢ to 825.0 ¢
47-mosstep Minor 47-mosstep m47ms 10L + 37s 750.0 ¢ to 783.3 ¢
Major 47-mosstep M47ms 11L + 36s 783.3 ¢ to 825.0 ¢
48-mosstep Minor 48-mosstep m48ms 10L + 38s 750.0 ¢ to 800.0 ¢
Major 48-mosstep M48ms 11L + 37s 800.0 ¢ to 825.0 ¢
49-mosstep Diminished 49-mosstep d49ms 10L + 39s 750.0 ¢ to 816.7 ¢
Perfect 49-mosstep P49ms 11L + 38s 816.7 ¢ to 825.0 ¢
50-mosstep Perfect 50-mosstep P50ms 11L + 39s 825.0 ¢ to 833.3 ¢
Augmented 50-mosstep A50ms 12L + 38s 833.3 ¢ to 900.0 ¢
51-mosstep Minor 51-mosstep m51ms 11L + 40s 825.0 ¢ to 850.0 ¢
Major 51-mosstep M51ms 12L + 39s 850.0 ¢ to 900.0 ¢
52-mosstep Minor 52-mosstep m52ms 11L + 41s 825.0 ¢ to 866.7 ¢
Major 52-mosstep M52ms 12L + 40s 866.7 ¢ to 900.0 ¢
53-mosstep Minor 53-mosstep m53ms 11L + 42s 825.0 ¢ to 883.3 ¢
Major 53-mosstep M53ms 12L + 41s 883.3 ¢ to 900.0 ¢
54-mosstep Perfect 54-mosstep P54ms 12L + 42s 900.0 ¢
55-mosstep Minor 55-mosstep m55ms 12L + 43s 900.0 ¢ to 916.7 ¢
Major 55-mosstep M55ms 13L + 42s 916.7 ¢ to 975.0 ¢
56-mosstep Minor 56-mosstep m56ms 12L + 44s 900.0 ¢ to 933.3 ¢
Major 56-mosstep M56ms 13L + 43s 933.3 ¢ to 975.0 ¢
57-mosstep Minor 57-mosstep m57ms 12L + 45s 900.0 ¢ to 950.0 ¢
Major 57-mosstep M57ms 13L + 44s 950.0 ¢ to 975.0 ¢
58-mosstep Diminished 58-mosstep d58ms 12L + 46s 900.0 ¢ to 966.7 ¢
Perfect 58-mosstep P58ms 13L + 45s 966.7 ¢ to 975.0 ¢
59-mosstep Perfect 59-mosstep P59ms 13L + 46s 975.0 ¢ to 983.3 ¢
Augmented 59-mosstep A59ms 14L + 45s 983.3 ¢ to 1050.0 ¢
60-mosstep Minor 60-mosstep m60ms 13L + 47s 975.0 ¢ to 1000.0 ¢
Major 60-mosstep M60ms 14L + 46s 1000.0 ¢ to 1050.0 ¢
61-mosstep Minor 61-mosstep m61ms 13L + 48s 975.0 ¢ to 1016.7 ¢
Major 61-mosstep M61ms 14L + 47s 1016.7 ¢ to 1050.0 ¢
62-mosstep Minor 62-mosstep m62ms 13L + 49s 975.0 ¢ to 1033.3 ¢
Major 62-mosstep M62ms 14L + 48s 1033.3 ¢ to 1050.0 ¢
63-mosstep Perfect 63-mosstep P63ms 14L + 49s 1050.0 ¢
64-mosstep Minor 64-mosstep m64ms 14L + 50s 1050.0 ¢ to 1066.7 ¢
Major 64-mosstep M64ms 15L + 49s 1066.7 ¢ to 1125.0 ¢
65-mosstep Minor 65-mosstep m65ms 14L + 51s 1050.0 ¢ to 1083.3 ¢
Major 65-mosstep M65ms 15L + 50s 1083.3 ¢ to 1125.0 ¢
66-mosstep Minor 66-mosstep m66ms 14L + 52s 1050.0 ¢ to 1100.0 ¢
Major 66-mosstep M66ms 15L + 51s 1100.0 ¢ to 1125.0 ¢
67-mosstep Diminished 67-mosstep d67ms 14L + 53s 1050.0 ¢ to 1116.7 ¢
Perfect 67-mosstep P67ms 15L + 52s 1116.7 ¢ to 1125.0 ¢
68-mosstep Perfect 68-mosstep P68ms 15L + 53s 1125.0 ¢ to 1133.3 ¢
Augmented 68-mosstep A68ms 16L + 52s 1133.3 ¢ to 1200.0 ¢
69-mosstep Minor 69-mosstep m69ms 15L + 54s 1125.0 ¢ to 1150.0 ¢
Major 69-mosstep M69ms 16L + 53s 1150.0 ¢ to 1200.0 ¢
70-mosstep Minor 70-mosstep m70ms 15L + 55s 1125.0 ¢ to 1166.7 ¢
Major 70-mosstep M70ms 16L + 54s 1166.7 ¢ to 1200.0 ¢
71-mosstep Minor 71-mosstep m71ms 15L + 56s 1125.0 ¢ to 1183.3 ¢
Major 71-mosstep M71ms 16L + 55s 1183.3 ¢ to 1200.0 ¢
72-mosstep Perfect 72-mosstep P72ms 16L + 56s 1200.0 ¢
Harmonic entropy info for 16L 56s
Interval Range in cents Average of HE
(from HE Calc)		 Min of HE
Perfect 0-mosstep 0.0 ¢ ~2.4654 nats ~2.4654 nats
Minor 1-mosstep 0.0 ¢ to 16.7 ¢ ~3.0339 nats ~2.7842 nats
Major 1-mosstep 16.7 ¢ to 75.0 ¢ ~4.2072 nats ~3.6849 nats
Minor 2-mosstep 0.0 ¢ to 33.3 ¢ ~4.1251 nats ~3.6238 nats
Major 2-mosstep 33.3 ¢ to 75.0 ¢ ~4.7294 nats ~4.6325 nats
Minor 3-mosstep 0.0 ¢ to 50.0 ¢ ~4.6727 nats ~4.3720 nats
Major 3-mosstep 50.0 ¢ to 75.0 ¢ ~4.8005 nats ~4.7887 nats
Diminished 4-mosstep 0.0 ¢ to 66.7 ¢ ~4.7840 nats ~4.7227 nats
Perfect 4-mosstep 66.7 ¢ to 75.0 ¢ ~4.7590 nats ~4.7533 nats
Perfect 5-mosstep 75.0 ¢ to 83.3 ¢ ~4.7164 nats ~4.7132 nats
Augmented 5-mosstep 83.3 ¢ to 150.0 ¢ ~4.6827 nats ~4.6634 nats
Minor 6-mosstep 75.0 ¢ to 100.0 ¢ ~4.6850 nats ~4.6787 nats
Major 6-mosstep 100.0 ¢ to 150.0 ¢ ~4.6632 nats ~4.6521 nats
Minor 7-mosstep 75.0 ¢ to 116.7 ¢ ~4.6658 nats ~4.6592 nats
Major 7-mosstep 116.7 ¢ to 150.0 ¢ ~4.6482 nats ~4.6411 nats
Minor 8-mosstep 75.0 ¢ to 133.3 ¢ ~4.6506 nats ~4.6418 nats
Major 8-mosstep 133.3 ¢ to 150.0 ¢ ~4.6348 nats ~4.6320 nats
Perfect 9-mosstep 150.0 ¢ ~4.6233 nats ~4.6233 nats
Minor 10-mosstep 150.0 ¢ to 166.7 ¢ ~4.6108 nats ~4.6088 nats
Major 10-mosstep 166.7 ¢ to 225.0 ¢ ~4.5983 nats ~4.5901 nats
Minor 11-mosstep 150.0 ¢ to 183.3 ¢ ~4.5999 nats ~4.5964 nats
Major 11-mosstep 183.3 ¢ to 225.0 ¢ ~4.5893 nats ~4.5854 nats
Minor 12-mosstep 150.0 ¢ to 200.0 ¢ ~4.5906 nats ~4.5866 nats
Major 12-mosstep 200.0 ¢ to 225.0 ¢ ~4.5847 nats ~4.5844 nats
Diminished 13-mosstep 150.0 ¢ to 216.7 ¢ ~4.5857 nats ~4.5843 nats
Perfect 13-mosstep 216.7 ¢ to 225.0 ¢ ~4.5842 nats ~4.5841 nats
Perfect 14-mosstep 225.0 ¢ to 233.3 ¢ ~4.5849 nats ~4.5846 nats
Augmented 14-mosstep 233.3 ¢ to 300.0 ¢ ~4.5820 nats ~4.5695 nats
Minor 15-mosstep 225.0 ¢ to 250.0 ¢ ~4.5854 nats ~4.5838 nats
Major 15-mosstep 250.0 ¢ to 300.0 ¢ ~4.5706 nats ~4.5636 nats
Minor 16-mosstep 225.0 ¢ to 266.7 ¢ ~4.5722 nats ~4.5654 nats
Major 16-mosstep 266.7 ¢ to 300.0 ¢ ~4.5666 nats ~4.5633 nats
Minor 17-mosstep 225.0 ¢ to 283.3 ¢ ~4.5676 nats ~4.5633 nats
Major 17-mosstep 283.3 ¢ to 300.0 ¢ ~4.5802 nats ~4.5790 nats
Perfect 18-mosstep 300.0 ¢ ~4.5654 nats ~4.5654 nats
Minor 19-mosstep 300.0 ¢ to 316.7 ¢ ~4.5389 nats ~4.5378 nats
Major 19-mosstep 316.7 ¢ to 375.0 ¢ ~4.5675 nats ~4.5434 nats
Minor 20-mosstep 300.0 ¢ to 333.3 ¢ ~4.5601 nats ~4.5422 nats
Major 20-mosstep 333.3 ¢ to 375.0 ¢ ~4.6069 nats ~4.5931 nats
Minor 21-mosstep 300.0 ¢ to 350.0 ¢ ~4.6012 nats ~4.5712 nats
Major 21-mosstep 350.0 ¢ to 375.0 ¢ ~4.6155 nats ~4.6056 nats
Diminished 22-mosstep 300.0 ¢ to 366.7 ¢ ~4.6106 nats ~4.5982 nats
Perfect 22-mosstep 366.7 ¢ to 375.0 ¢ ~4.5672 nats ~4.5579 nats
Perfect 23-mosstep 375.0 ¢ to 383.3 ¢ ~4.4956 nats ~4.4917 nats
Augmented 23-mosstep 383.3 ¢ to 450.0 ¢ ~4.5169 nats ~4.4845 nats
Minor 24-mosstep 375.0 ¢ to 400.0 ¢ ~4.5023 nats ~4.4864 nats
Major 24-mosstep 400.0 ¢ to 450.0 ¢ ~4.5755 nats ~4.5459 nats
Minor 25-mosstep 375.0 ¢ to 416.7 ¢ ~4.5683 nats ~4.5262 nats
Major 25-mosstep 416.7 ¢ to 450.0 ¢ ~4.6041 nats ~4.6024 nats
Minor 26-mosstep 375.0 ¢ to 433.3 ¢ ~4.5994 nats ~4.5795 nats
Major 26-mosstep 433.3 ¢ to 450.0 ¢ ~4.6005 nats ~4.6002 nats
Perfect 27-mosstep 450.0 ¢ ~4.6114 nats ~4.6114 nats
Minor 28-mosstep 450.0 ¢ to 466.7 ¢ ~4.6150 nats ~4.6109 nats
Major 28-mosstep 466.7 ¢ to 525.0 ¢ ~4.5209 nats ~4.4088 nats
Minor 29-mosstep 450.0 ¢ to 483.3 ¢ ~4.5437 nats ~4.5022 nats
Major 29-mosstep 483.3 ¢ to 525.0 ¢ ~4.4027 nats ~4.3665 nats
Minor 30-mosstep 450.0 ¢ to 500.0 ¢ ~4.4196 nats ~4.3694 nats
Major 30-mosstep 500.0 ¢ to 525.0 ¢ ~4.3910 nats ~4.3705 nats
Diminished 31-mosstep 450.0 ¢ to 516.7 ¢ ~4.4031 nats ~4.3665 nats
Perfect 31-mosstep 516.7 ¢ to 525.0 ¢ ~4.5216 nats ~4.5094 nats
Perfect 32-mosstep 525.0 ¢ to 533.3 ¢ ~4.6179 nats ~4.6118 nats
Augmented 32-mosstep 533.3 ¢ to 600.0 ¢ ~4.6243 nats ~4.6067 nats
Minor 33-mosstep 525.0 ¢ to 550.0 ¢ ~4.6288 nats ~4.6259 nats
Major 33-mosstep 550.0 ¢ to 600.0 ¢ ~4.6050 nats ~4.5824 nats
Minor 34-mosstep 525.0 ¢ to 566.7 ¢ ~4.6096 nats ~4.5981 nats
Major 34-mosstep 566.7 ¢ to 600.0 ¢ ~4.5746 nats ~4.5622 nats
Minor 35-mosstep 525.0 ¢ to 583.3 ¢ ~4.5799 nats ~4.5630 nats
Major 35-mosstep 583.3 ¢ to 600.0 ¢ ~4.5605 nats ~4.5596 nats
Perfect 36-mosstep 600.0 ¢ ~4.5799 nats ~4.5799 nats
Minor 37-mosstep 600.0 ¢ to 616.7 ¢ ~4.5962 nats ~4.5938 nats
Major 37-mosstep 616.7 ¢ to 675.0 ¢ ~4.6072 nats ~4.6003 nats
Minor 38-mosstep 600.0 ¢ to 633.3 ¢ ~4.6043 nats ~4.5999 nats
Major 38-mosstep 633.3 ¢ to 675.0 ¢ ~4.6250 nats ~4.6148 nats
Minor 39-mosstep 600.0 ¢ to 650.0 ¢ ~4.6216 nats ~4.6070 nats
Major 39-mosstep 650.0 ¢ to 675.0 ¢ ~4.6488 nats ~4.6440 nats
Diminished 40-mosstep 600.0 ¢ to 666.7 ¢ ~4.6430 nats ~4.6210 nats
Perfect 40-mosstep 666.7 ¢ to 675.0 ¢ ~4.6312 nats ~4.6211 nats
Perfect 41-mosstep 675.0 ¢ to 683.3 ¢ ~4.4628 nats ~4.4405 nats
Augmented 41-mosstep 683.3 ¢ to 750.0 ¢ ~4.2102 nats ~4.1228 nats
Minor 42-mosstep 675.0 ¢ to 700.0 ¢ ~4.1975 nats ~4.1467 nats
Major 42-mosstep 700.0 ¢ to 750.0 ¢ ~4.2007 nats ~4.1224 nats
Minor 43-mosstep 675.0 ¢ to 716.7 ¢ ~4.1715 nats ~4.1228 nats
Major 43-mosstep 716.7 ¢ to 750.0 ¢ ~4.4399 nats ~4.3485 nats
Minor 44-mosstep 675.0 ¢ to 733.3 ¢ ~4.3961 nats ~4.1746 nats
Major 44-mosstep 733.3 ¢ to 750.0 ¢ ~4.6220 nats ~4.6063 nats
Perfect 45-mosstep 750.0 ¢ ~4.6473 nats ~4.6473 nats
Minor 46-mosstep 750.0 ¢ to 766.7 ¢ ~4.6243 nats ~4.6206 nats
Major 46-mosstep 766.7 ¢ to 825.0 ¢ ~4.6075 nats ~4.5989 nats
Minor 47-mosstep 750.0 ¢ to 783.3 ¢ ~4.6090 nats ~4.6057 nats
Major 47-mosstep 783.3 ¢ to 825.0 ¢ ~4.5962 nats ~4.5856 nats
Minor 48-mosstep 750.0 ¢ to 800.0 ¢ ~4.5982 nats ~4.5908 nats
Major 48-mosstep 800.0 ¢ to 825.0 ¢ ~4.5782 nats ~4.5725 nats
Diminished 49-mosstep 750.0 ¢ to 816.7 ¢ ~4.5818 nats ~4.5713 nats
Perfect 49-mosstep 816.7 ¢ to 825.0 ¢ ~4.5727 nats ~4.5718 nats
Perfect 50-mosstep 825.0 ¢ to 833.3 ¢ ~4.5945 nats ~4.5912 nats
Augmented 50-mosstep 833.3 ¢ to 900.0 ¢ ~4.6061 nats ~4.5804 nats
Minor 51-mosstep 825.0 ¢ to 850.0 ¢ ~4.6135 nats ~4.6098 nats
Major 51-mosstep 850.0 ¢ to 900.0 ¢ ~4.5723 nats ~4.5054 nats
Minor 52-mosstep 825.0 ¢ to 866.7 ¢ ~4.5851 nats ~4.5558 nats
Major 52-mosstep 866.7 ¢ to 900.0 ¢ ~4.4781 nats ~4.4330 nats
Minor 53-mosstep 825.0 ¢ to 883.3 ¢ ~4.4949 nats ~4.4364 nats
Major 53-mosstep 883.3 ¢ to 900.0 ¢ ~4.4225 nats ~4.4201 nats
Perfect 54-mosstep 900.0 ¢ ~4.4980 nats ~4.4980 nats
Minor 55-mosstep 900.0 ¢ to 916.7 ¢ ~4.5907 nats ~4.5745 nats
Major 55-mosstep 916.7 ¢ to 975.0 ¢ ~4.6147 nats ~4.6079 nats
Minor 56-mosstep 900.0 ¢ to 933.3 ¢ ~4.6165 nats ~4.6122 nats
Major 56-mosstep 933.3 ¢ to 975.0 ¢ ~4.6030 nats ~4.5843 nats
Minor 57-mosstep 900.0 ¢ to 950.0 ¢ ~4.6062 nats ~4.5943 nats
Major 57-mosstep 950.0 ¢ to 975.0 ¢ ~4.5668 nats ~4.5498 nats
Diminished 58-mosstep 900.0 ¢ to 966.7 ¢ ~4.5723 nats ~4.5435 nats
Perfect 58-mosstep 966.7 ¢ to 975.0 ¢ ~4.5315 nats ~4.5304 nats
Perfect 59-mosstep 975.0 ¢ to 983.3 ¢ ~4.5497 nats ~4.5450 nats
Augmented 59-mosstep 983.3 ¢ to 1050.0 ¢ ~4.5802 nats ~4.5688 nats
Minor 60-mosstep 975.0 ¢ to 1000.0 ¢ ~4.5827 nats ~4.5743 nats
Major 60-mosstep 1000.0 ¢ to 1050.0 ¢ ~4.5823 nats ~4.5784 nats
Minor 61-mosstep 975.0 ¢ to 1016.7 ¢ ~4.5829 nats ~4.5790 nats
Major 61-mosstep 1016.7 ¢ to 1050.0 ¢ ~4.5819 nats ~4.5783 nats
Minor 62-mosstep 975.0 ¢ to 1033.3 ¢ ~4.5823 nats ~4.5783 nats
Major 62-mosstep 1033.3 ¢ to 1050.0 ¢ ~4.5983 nats ~4.5955 nats
Perfect 63-mosstep 1050.0 ¢ ~4.6074 nats ~4.6074 nats
Minor 64-mosstep 1050.0 ¢ to 1066.7 ¢ ~4.6078 nats ~4.6077 nats
Major 64-mosstep 1066.7 ¢ to 1125.0 ¢ ~4.6091 nats ~4.6078 nats
Minor 65-mosstep 1050.0 ¢ to 1083.3 ¢ ~4.6085 nats ~4.6078 nats
Major 65-mosstep 1083.3 ¢ to 1125.0 ¢ ~4.6131 nats ~4.6105 nats
Minor 66-mosstep 1050.0 ¢ to 1100.0 ¢ ~4.6122 nats ~4.6089 nats
Major 66-mosstep 1100.0 ¢ to 1125.0 ¢ ~4.6228 nats ~4.6193 nats
Diminished 67-mosstep 1050.0 ¢ to 1116.7 ¢ ~4.6218 nats ~4.6119 nats
Perfect 67-mosstep 1116.7 ¢ to 1125.0 ¢ ~4.6413 nats ~4.6393 nats
Perfect 68-mosstep 1125.0 ¢ to 1133.3 ¢ ~4.6717 nats ~4.6672 nats
Augmented 68-mosstep 1133.3 ¢ to 1200.0 ¢ ~4.7111 nats ~4.6911 nats
Minor 69-mosstep 1125.0 ¢ to 1150.0 ¢ ~4.7131 nats ~4.6979 nats
Major 69-mosstep 1150.0 ¢ to 1200.0 ¢ ~4.6872 nats ~4.5591 nats
Minor 70-mosstep 1125.0 ¢ to 1166.7 ¢ ~4.7106 nats ~4.6774 nats
Major 70-mosstep 1166.7 ¢ to 1200.0 ¢ ~4.4318 nats ~4.1641 nats
Minor 71-mosstep 1125.0 ¢ to 1183.3 ¢ ~4.4684 nats ~4.1987 nats
Major 71-mosstep 1183.3 ¢ to 1200.0 ¢ ~3.7988 nats ~3.6275 nats
Perfect 72-mosstep 1200.0 ¢ ~3.3273 nats ~3.3273 nats
Simple Tunings of 16L 56s
Scale degree Abbrev. Basic (2:1)
88edo 		Hard (3:1)
104edo 		Soft (3:2)
160edo
Steps ¢ Steps ¢ Steps ¢
Perfect 0-mosdegree P0md 0\88 0.0 0\104 0.0 0\160 0.0
Minor 1-mosdegree m1md 1\88 13.6 1\104 11.5 2\160 15.0
Major 1-mosdegree M1md 2\88 27.3 3\104 34.6 3\160 22.5
Minor 2-mosdegree m2md 2\88 27.3 2\104 23.1 4\160 30.0
Major 2-mosdegree M2md 3\88 40.9 4\104 46.2 5\160 37.5
Minor 3-mosdegree m3md 3\88 40.9 3\104 34.6 6\160 45.0
Major 3-mosdegree M3md 4\88 54.5 5\104 57.7 7\160 52.5
Diminished 4-mosdegree d4md 4\88 54.5 4\104 46.2 8\160 60.0
Perfect 4-mosdegree P4md 5\88 68.2 6\104 69.2 9\160 67.5
Perfect 5-mosdegree P5md 6\88 81.8 7\104 80.8 11\160 82.5
Augmented 5-mosdegree A5md 7\88 95.5 9\104 103.8 12\160 90.0
Minor 6-mosdegree m6md 7\88 95.5 8\104 92.3 13\160 97.5
Major 6-mosdegree M6md 8\88 109.1 10\104 115.4 14\160 105.0
Minor 7-mosdegree m7md 8\88 109.1 9\104 103.8 15\160 112.5
Major 7-mosdegree M7md 9\88 122.7 11\104 126.9 16\160 120.0
Minor 8-mosdegree m8md 9\88 122.7 10\104 115.4 17\160 127.5
Major 8-mosdegree M8md 10\88 136.4 12\104 138.5 18\160 135.0
Perfect 9-mosdegree P9md 11\88 150.0 13\104 150.0 20\160 150.0
Minor 10-mosdegree m10md 12\88 163.6 14\104 161.5 22\160 165.0
Major 10-mosdegree M10md 13\88 177.3 16\104 184.6 23\160 172.5
Minor 11-mosdegree m11md 13\88 177.3 15\104 173.1 24\160 180.0
Major 11-mosdegree M11md 14\88 190.9 17\104 196.2 25\160 187.5
Minor 12-mosdegree m12md 14\88 190.9 16\104 184.6 26\160 195.0
Major 12-mosdegree M12md 15\88 204.5 18\104 207.7 27\160 202.5
Diminished 13-mosdegree d13md 15\88 204.5 17\104 196.2 28\160 210.0
Perfect 13-mosdegree P13md 16\88 218.2 19\104 219.2 29\160 217.5
Perfect 14-mosdegree P14md 17\88 231.8 20\104 230.8 31\160 232.5
Augmented 14-mosdegree A14md 18\88 245.5 22\104 253.8 32\160 240.0
Minor 15-mosdegree m15md 18\88 245.5 21\104 242.3 33\160 247.5
Major 15-mosdegree M15md 19\88 259.1 23\104 265.4 34\160 255.0
Minor 16-mosdegree m16md 19\88 259.1 22\104 253.8 35\160 262.5
Major 16-mosdegree M16md 20\88 272.7 24\104 276.9 36\160 270.0
Minor 17-mosdegree m17md 20\88 272.7 23\104 265.4 37\160 277.5
Major 17-mosdegree M17md 21\88 286.4 25\104 288.5 38\160 285.0
Perfect 18-mosdegree P18md 22\88 300.0 26\104 300.0 40\160 300.0
Minor 19-mosdegree m19md 23\88 313.6 27\104 311.5 42\160 315.0
Major 19-mosdegree M19md 24\88 327.3 29\104 334.6 43\160 322.5
Minor 20-mosdegree m20md 24\88 327.3 28\104 323.1 44\160 330.0
Major 20-mosdegree M20md 25\88 340.9 30\104 346.2 45\160 337.5
Minor 21-mosdegree m21md 25\88 340.9 29\104 334.6 46\160 345.0
Major 21-mosdegree M21md 26\88 354.5 31\104 357.7 47\160 352.5
Diminished 22-mosdegree d22md 26\88 354.5 30\104 346.2 48\160 360.0
Perfect 22-mosdegree P22md 27\88 368.2 32\104 369.2 49\160 367.5
Perfect 23-mosdegree P23md 28\88 381.8 33\104 380.8 51\160 382.5
Augmented 23-mosdegree A23md 29\88 395.5 35\104 403.8 52\160 390.0
Minor 24-mosdegree m24md 29\88 395.5 34\104 392.3 53\160 397.5
Major 24-mosdegree M24md 30\88 409.1 36\104 415.4 54\160 405.0
Minor 25-mosdegree m25md 30\88 409.1 35\104 403.8 55\160 412.5
Major 25-mosdegree M25md 31\88 422.7 37\104 426.9 56\160 420.0
Minor 26-mosdegree m26md 31\88 422.7 36\104 415.4 57\160 427.5
Major 26-mosdegree M26md 32\88 436.4 38\104 438.5 58\160 435.0
Perfect 27-mosdegree P27md 33\88 450.0 39\104 450.0 60\160 450.0
Minor 28-mosdegree m28md 34\88 463.6 40\104 461.5 62\160 465.0
Major 28-mosdegree M28md 35\88 477.3 42\104 484.6 63\160 472.5
Minor 29-mosdegree m29md 35\88 477.3 41\104 473.1 64\160 480.0
Major 29-mosdegree M29md 36\88 490.9 43\104 496.2 65\160 487.5
Minor 30-mosdegree m30md 36\88 490.9 42\104 484.6 66\160 495.0
Major 30-mosdegree M30md 37\88 504.5 44\104 507.7 67\160 502.5
Diminished 31-mosdegree d31md 37\88 504.5 43\104 496.2 68\160 510.0
Perfect 31-mosdegree P31md 38\88 518.2 45\104 519.2 69\160 517.5
Perfect 32-mosdegree P32md 39\88 531.8 46\104 530.8 71\160 532.5
Augmented 32-mosdegree A32md 40\88 545.5 48\104 553.8 72\160 540.0
Minor 33-mosdegree m33md 40\88 545.5 47\104 542.3 73\160 547.5
Major 33-mosdegree M33md 41\88 559.1 49\104 565.4 74\160 555.0
Minor 34-mosdegree m34md 41\88 559.1 48\104 553.8 75\160 562.5
Major 34-mosdegree M34md 42\88 572.7 50\104 576.9 76\160 570.0
Minor 35-mosdegree m35md 42\88 572.7 49\104 565.4 77\160 577.5
Major 35-mosdegree M35md 43\88 586.4 51\104 588.5 78\160 585.0
Perfect 36-mosdegree P36md 44\88 600.0 52\104 600.0 80\160 600.0
Minor 37-mosdegree m37md 45\88 613.6 53\104 611.5 82\160 615.0
Major 37-mosdegree M37md 46\88 627.3 55\104 634.6 83\160 622.5
Minor 38-mosdegree m38md 46\88 627.3 54\104 623.1 84\160 630.0
Major 38-mosdegree M38md 47\88 640.9 56\104 646.2 85\160 637.5
Minor 39-mosdegree m39md 47\88 640.9 55\104 634.6 86\160 645.0
Major 39-mosdegree M39md 48\88 654.5 57\104 657.7 87\160 652.5
Diminished 40-mosdegree d40md 48\88 654.5 56\104 646.2 88\160 660.0
Perfect 40-mosdegree P40md 49\88 668.2 58\104 669.2 89\160 667.5
Perfect 41-mosdegree P41md 50\88 681.8 59\104 680.8 91\160 682.5
Augmented 41-mosdegree A41md 51\88 695.5 61\104 703.8 92\160 690.0
Minor 42-mosdegree m42md 51\88 695.5 60\104 692.3 93\160 697.5
Major 42-mosdegree M42md 52\88 709.1 62\104 715.4 94\160 705.0
Minor 43-mosdegree m43md 52\88 709.1 61\104 703.8 95\160 712.5
Major 43-mosdegree M43md 53\88 722.7 63\104 726.9 96\160 720.0
Minor 44-mosdegree m44md 53\88 722.7 62\104 715.4 97\160 727.5
Major 44-mosdegree M44md 54\88 736.4 64\104 738.5 98\160 735.0
Perfect 45-mosdegree P45md 55\88 750.0 65\104 750.0 100\160 750.0
Minor 46-mosdegree m46md 56\88 763.6 66\104 761.5 102\160 765.0
Major 46-mosdegree M46md 57\88 777.3 68\104 784.6 103\160 772.5
Minor 47-mosdegree m47md 57\88 777.3 67\104 773.1 104\160 780.0
Major 47-mosdegree M47md 58\88 790.9 69\104 796.2 105\160 787.5
Minor 48-mosdegree m48md 58\88 790.9 68\104 784.6 106\160 795.0
Major 48-mosdegree M48md 59\88 804.5 70\104 807.7 107\160 802.5
Diminished 49-mosdegree d49md 59\88 804.5 69\104 796.2 108\160 810.0
Perfect 49-mosdegree P49md 60\88 818.2 71\104 819.2 109\160 817.5
Perfect 50-mosdegree P50md 61\88 831.8 72\104 830.8 111\160 832.5
Augmented 50-mosdegree A50md 62\88 845.5 74\104 853.8 112\160 840.0
Minor 51-mosdegree m51md 62\88 845.5 73\104 842.3 113\160 847.5
Major 51-mosdegree M51md 63\88 859.1 75\104 865.4 114\160 855.0
Minor 52-mosdegree m52md 63\88 859.1 74\104 853.8 115\160 862.5
Major 52-mosdegree M52md 64\88 872.7 76\104 876.9 116\160 870.0
Minor 53-mosdegree m53md 64\88 872.7 75\104 865.4 117\160 877.5
Major 53-mosdegree M53md 65\88 886.4 77\104 888.5 118\160 885.0
Perfect 54-mosdegree P54md 66\88 900.0 78\104 900.0 120\160 900.0
Minor 55-mosdegree m55md 67\88 913.6 79\104 911.5 122\160 915.0
Major 55-mosdegree M55md 68\88 927.3 81\104 934.6 123\160 922.5
Minor 56-mosdegree m56md 68\88 927.3 80\104 923.1 124\160 930.0
Major 56-mosdegree M56md 69\88 940.9 82\104 946.2 125\160 937.5
Minor 57-mosdegree m57md 69\88 940.9 81\104 934.6 126\160 945.0
Major 57-mosdegree M57md 70\88 954.5 83\104 957.7 127\160 952.5
Diminished 58-mosdegree d58md 70\88 954.5 82\104 946.2 128\160 960.0
Perfect 58-mosdegree P58md 71\88 968.2 84\104 969.2 129\160 967.5
Perfect 59-mosdegree P59md 72\88 981.8 85\104 980.8 131\160 982.5
Augmented 59-mosdegree A59md 73\88 995.5 87\104 1003.8 132\160 990.0
Minor 60-mosdegree m60md 73\88 995.5 86\104 992.3 133\160 997.5
Major 60-mosdegree M60md 74\88 1009.1 88\104 1015.4 134\160 1005.0
Minor 61-mosdegree m61md 74\88 1009.1 87\104 1003.8 135\160 1012.5
Major 61-mosdegree M61md 75\88 1022.7 89\104 1026.9 136\160 1020.0
Minor 62-mosdegree m62md 75\88 1022.7 88\104 1015.4 137\160 1027.5
Major 62-mosdegree M62md 76\88 1036.4 90\104 1038.5 138\160 1035.0
Perfect 63-mosdegree P63md 77\88 1050.0 91\104 1050.0 140\160 1050.0
Minor 64-mosdegree m64md 78\88 1063.6 92\104 1061.5 142\160 1065.0
Major 64-mosdegree M64md 79\88 1077.3 94\104 1084.6 143\160 1072.5
Minor 65-mosdegree m65md 79\88 1077.3 93\104 1073.1 144\160 1080.0
Major 65-mosdegree M65md 80\88 1090.9 95\104 1096.2 145\160 1087.5
Minor 66-mosdegree m66md 80\88 1090.9 94\104 1084.6 146\160 1095.0
Major 66-mosdegree M66md 81\88 1104.5 96\104 1107.7 147\160 1102.5
Diminished 67-mosdegree d67md 81\88 1104.5 95\104 1096.2 148\160 1110.0
Perfect 67-mosdegree P67md 82\88 1118.2 97\104 1119.2 149\160 1117.5
Perfect 68-mosdegree P68md 83\88 1131.8 98\104 1130.8 151\160 1132.5
Augmented 68-mosdegree A68md 84\88 1145.5 100\104 1153.8 152\160 1140.0
Minor 69-mosdegree m69md 84\88 1145.5 99\104 1142.3 153\160 1147.5
Major 69-mosdegree M69md 85\88 1159.1 101\104 1165.4 154\160 1155.0
Minor 70-mosdegree m70md 85\88 1159.1 100\104 1153.8 155\160 1162.5
Major 70-mosdegree M70md 86\88 1172.7 102\104 1176.9 156\160 1170.0
Minor 71-mosdegree m71md 86\88 1172.7 101\104 1165.4 157\160 1177.5
Major 71-mosdegree M71md 87\88 1186.4 103\104 1188.5 158\160 1185.0
Perfect 72-mosdegree P72md 88\88 1200.0 104\104 1200.0 160\160 1200.0
Generator chain of 16L 56s
Bright gens Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev.
10 Augmented 4-mosdegree A4md Augmented 13-mosdegree A13md Augmented 22-mosdegree A22md Augmented 31-mosdegree A31md Augmented 40-mosdegree A40md Augmented 49-mosdegree A49md Augmented 58-mosdegree A58md Augmented 67-mosdegree A67md
9 Augmented 0-mosdegree A0md Augmented 9-mosdegree A9md Augmented 18-mosdegree A18md Augmented 27-mosdegree A27md Augmented 36-mosdegree A36md Augmented 45-mosdegree A45md Augmented 54-mosdegree A54md Augmented 63-mosdegree A63md
8 Augmented 5-mosdegree A5md Augmented 14-mosdegree A14md Augmented 23-mosdegree A23md Augmented 32-mosdegree A32md Augmented 41-mosdegree A41md Augmented 50-mosdegree A50md Augmented 59-mosdegree A59md Augmented 68-mosdegree A68md
7 Major 1-mosdegree M1md Major 10-mosdegree M10md Major 19-mosdegree M19md Major 28-mosdegree M28md Major 37-mosdegree M37md Major 46-mosdegree M46md Major 55-mosdegree M55md Major 64-mosdegree M64md
6 Major 6-mosdegree M6md Major 15-mosdegree M15md Major 24-mosdegree M24md Major 33-mosdegree M33md Major 42-mosdegree M42md Major 51-mosdegree M51md Major 60-mosdegree M60md Major 69-mosdegree M69md
5 Major 2-mosdegree M2md Major 11-mosdegree M11md Major 20-mosdegree M20md Major 29-mosdegree M29md Major 38-mosdegree M38md Major 47-mosdegree M47md Major 56-mosdegree M56md Major 65-mosdegree M65md
4 Major 7-mosdegree M7md Major 16-mosdegree M16md Major 25-mosdegree M25md Major 34-mosdegree M34md Major 43-mosdegree M43md Major 52-mosdegree M52md Major 61-mosdegree M61md Major 70-mosdegree M70md
3 Major 3-mosdegree M3md Major 12-mosdegree M12md Major 21-mosdegree M21md Major 30-mosdegree M30md Major 39-mosdegree M39md Major 48-mosdegree M48md Major 57-mosdegree M57md Major 66-mosdegree M66md
2 Major 8-mosdegree M8md Major 17-mosdegree M17md Major 26-mosdegree M26md Major 35-mosdegree M35md Major 44-mosdegree M44md Major 53-mosdegree M53md Major 62-mosdegree M62md Major 71-mosdegree M71md
1 Perfect 4-mosdegree P4md Perfect 13-mosdegree P13md Perfect 22-mosdegree P22md Perfect 31-mosdegree P31md Perfect 40-mosdegree P40md Perfect 49-mosdegree P49md Perfect 58-mosdegree P58md Perfect 67-mosdegree P67md
0 Perfect 0-mosdegree
Perfect 9-mosdegree		 P0md
P9md		 Perfect 9-mosdegree
Perfect 18-mosdegree		 P9md
P18md		 Perfect 18-mosdegree
Perfect 27-mosdegree		 P18md
P27md		 Perfect 27-mosdegree
Perfect 36-mosdegree		 P27md
P36md		 Perfect 36-mosdegree
Perfect 45-mosdegree		 P36md
P45md		 Perfect 45-mosdegree
Perfect 54-mosdegree		 P45md
P54md		 Perfect 54-mosdegree
Perfect 63-mosdegree		 P54md
P63md		 Perfect 63-mosdegree
Perfect 72-mosdegree		 P63md
P72md
−1 Perfect 5-mosdegree P5md Perfect 14-mosdegree P14md Perfect 23-mosdegree P23md Perfect 32-mosdegree P32md Perfect 41-mosdegree P41md Perfect 50-mosdegree P50md Perfect 59-mosdegree P59md Perfect 68-mosdegree P68md
−2 Minor 1-mosdegree m1md Minor 10-mosdegree m10md Minor 19-mosdegree m19md Minor 28-mosdegree m28md Minor 37-mosdegree m37md Minor 46-mosdegree m46md Minor 55-mosdegree m55md Minor 64-mosdegree m64md
−3 Minor 6-mosdegree m6md Minor 15-mosdegree m15md Minor 24-mosdegree m24md Minor 33-mosdegree m33md Minor 42-mosdegree m42md Minor 51-mosdegree m51md Minor 60-mosdegree m60md Minor 69-mosdegree m69md
−4 Minor 2-mosdegree m2md Minor 11-mosdegree m11md Minor 20-mosdegree m20md Minor 29-mosdegree m29md Minor 38-mosdegree m38md Minor 47-mosdegree m47md Minor 56-mosdegree m56md Minor 65-mosdegree m65md
−5 Minor 7-mosdegree m7md Minor 16-mosdegree m16md Minor 25-mosdegree m25md Minor 34-mosdegree m34md Minor 43-mosdegree m43md Minor 52-mosdegree m52md Minor 61-mosdegree m61md Minor 70-mosdegree m70md
−6 Minor 3-mosdegree m3md Minor 12-mosdegree m12md Minor 21-mosdegree m21md Minor 30-mosdegree m30md Minor 39-mosdegree m39md Minor 48-mosdegree m48md Minor 57-mosdegree m57md Minor 66-mosdegree m66md
−7 Minor 8-mosdegree m8md Minor 17-mosdegree m17md Minor 26-mosdegree m26md Minor 35-mosdegree m35md Minor 44-mosdegree m44md Minor 53-mosdegree m53md Minor 62-mosdegree m62md Minor 71-mosdegree m71md
−8 Diminished 4-mosdegree d4md Diminished 13-mosdegree d13md Diminished 22-mosdegree d22md Diminished 31-mosdegree d31md Diminished 40-mosdegree d40md Diminished 49-mosdegree d49md Diminished 58-mosdegree d58md Diminished 67-mosdegree d67md
−9 Diminished 9-mosdegree d9md Diminished 18-mosdegree d18md Diminished 27-mosdegree d27md Diminished 36-mosdegree d36md Diminished 45-mosdegree d45md Diminished 54-mosdegree d54md Diminished 63-mosdegree d63md Diminished 72-mosdegree d72md
−10 Diminished 5-mosdegree d5md Diminished 14-mosdegree d14md Diminished 23-mosdegree d23md Diminished 32-mosdegree d32md Diminished 41-mosdegree d41md Diminished 50-mosdegree d50md Diminished 59-mosdegree d59md Diminished 68-mosdegree d68md
Modes of 16L 56s
UDP Cyclic
order		 Step
pattern
64|0(8) 1 LsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssss
56|8(8) 5 LssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsss
48|16(8) 9 sLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLsss
40|24(8) 4 sLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLss
32|32(8) 8 ssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLss
24|40(8) 3 ssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLs
16|48(8) 7 sssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLs
8|56(8) 2 sssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssL
0|64(8) 6 ssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssLssssLsssL

Scale tree

Scale tree and tuning spectrum of 16L 56s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
4\72 66.667 83.333 1:1 1.000 Equalized 16L 56s
21\376 67.021 82.979 6:5 1.200
17\304 67.105 82.895 5:4 1.250
30\536 67.164 82.836 9:7 1.286
13\232 67.241 82.759 4:3 1.333 Supersoft 16L 56s
35\624 67.308 82.692 11:8 1.375
22\392 67.347 82.653 7:5 1.400
31\552 67.391 82.609 10:7 1.429
9\160 67.500 82.500 3:2 1.500 Soft 16L 56s
32\568 67.606 82.394 11:7 1.571
23\408 67.647 82.353 8:5 1.600
37\656 67.683 82.317 13:8 1.625
14\248 67.742 82.258 5:3 1.667 Semisoft 16L 56s
33\584 67.808 82.192 12:7 1.714
19\336 67.857 82.143 7:4 1.750
24\424 67.925 82.075 9:5 1.800
5\88 68.182 81.818 2:1 2.000 Basic 16L 56s
Scales with tunings softer than this are proper
21\368 68.478 81.522 9:4 2.250
16\280 68.571 81.429 7:3 2.333
27\472 68.644 81.356 12:5 2.400
11\192 68.750 81.250 5:2 2.500 Semihard 16L 56s
28\488 68.852 81.148 13:5 2.600
17\296 68.919 81.081 8:3 2.667
23\400 69.000 81.000 11:4 2.750
6\104 69.231 80.769 3:1 3.000 Hard 16L 56s
19\328 69.512 80.488 10:3 3.333
13\224 69.643 80.357 7:2 3.500
20\344 69.767 80.233 11:3 3.667
7\120 70.000 80.000 4:1 4.000 Superhard 16L 56s
15\256 70.312 79.688 9:2 4.500
8\136 70.588 79.412 5:1 5.000
9\152 71.053 78.947 6:1 6.000
1\16 75.000 75.000 1:0 → ∞ Collapsed 16L 56s
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