User:MisterShafXen/26L 58s

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26L 58s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 26 large steps and 58 small steps, with a period of 13 large steps and 29 small steps that repeats every 600.0 ¢, or twice every octave. 26L 58s is related to 6L 2s, expanding it by 76 tones. Generators that produce this scale range from 414.3 ¢ to 415.4 ¢, or from 184.6 ¢ to 185.7 ¢.

↖ 25L 57s ↑ 26L 57s 27L 57s ↗
← 25L 58s 26L 58s 27L 58s →
↙ 25L 59s ↓ 26L 59s 27L 59s ↘
Scale structure
Step pattern ...84 steps...
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 29\84 to 9\26 (414.3 ¢ to 415.4 ¢)
Dark 4\26 to 13\84 (184.6 ¢ to 185.7 ¢)
TAMNAMS information
Related to 6L 2s (ekic)
With tunings 4:1 to 13:3
Related MOS scales
Parent 26L 32s
Sister 58L 26s
Daughters 84L 26s, 26L 84s
Neutralized 52L 32s
2-Flought 110L 58s, 26L 142s
Equal tunings
Equalized (L:s = 1:1) 29\84 (414.3 ¢)
Supersoft (L:s = 4:3) 96\278 (414.4 ¢)
Soft (L:s = 3:2) 67\194 (414.4 ¢)
Semisoft (L:s = 5:3) 105\304 (414.5 ¢)
Basic (L:s = 2:1) 38\110 (414.5 ¢)
Semihard (L:s = 5:2) 85\246 (414.6 ¢)
Hard (L:s = 3:1) 47\136 (414.7 ¢)
Superhard (L:s = 4:1) 56\162 (414.8 ¢)
Collapsed (L:s = 1:0) 9\26 (415.4 ¢)
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Scale properties

Intervals of 26L 58s
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 14.3 ¢
Major 1-mosstep M1ms L 14.3 ¢ to 46.2 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 28.6 ¢
Major 2-mosstep M2ms L + s 28.6 ¢ to 46.2 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 42.9 ¢
Major 3-mosstep M3ms L + 2s 42.9 ¢ to 46.2 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 46.2 ¢ to 57.1 ¢
Major 4-mosstep M4ms 2L + 2s 57.1 ¢ to 92.3 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 46.2 ¢ to 71.4 ¢
Major 5-mosstep M5ms 2L + 3s 71.4 ¢ to 92.3 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 46.2 ¢ to 85.7 ¢
Major 6-mosstep M6ms 2L + 4s 85.7 ¢ to 92.3 ¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 92.3 ¢ to 100.0 ¢
Major 7-mosstep M7ms 3L + 4s 100.0 ¢ to 138.5 ¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 92.3 ¢ to 114.3 ¢
Major 8-mosstep M8ms 3L + 5s 114.3 ¢ to 138.5 ¢
9-mosstep Minor 9-mosstep m9ms 2L + 7s 92.3 ¢ to 128.6 ¢
Major 9-mosstep M9ms 3L + 6s 128.6 ¢ to 138.5 ¢
10-mosstep Minor 10-mosstep m10ms 3L + 7s 138.5 ¢ to 142.9 ¢
Major 10-mosstep M10ms 4L + 6s 142.9 ¢ to 184.6 ¢
11-mosstep Minor 11-mosstep m11ms 3L + 8s 138.5 ¢ to 157.1 ¢
Major 11-mosstep M11ms 4L + 7s 157.1 ¢ to 184.6 ¢
12-mosstep Minor 12-mosstep m12ms 3L + 9s 138.5 ¢ to 171.4 ¢
Major 12-mosstep M12ms 4L + 8s 171.4 ¢ to 184.6 ¢
13-mosstep Perfect 13-mosstep P13ms 4L + 9s 184.6 ¢ to 185.7 ¢
Augmented 13-mosstep A13ms 5L + 8s 185.7 ¢ to 230.8 ¢
14-mosstep Minor 14-mosstep m14ms 4L + 10s 184.6 ¢ to 200.0 ¢
Major 14-mosstep M14ms 5L + 9s 200.0 ¢ to 230.8 ¢
15-mosstep Minor 15-mosstep m15ms 4L + 11s 184.6 ¢ to 214.3 ¢
Major 15-mosstep M15ms 5L + 10s 214.3 ¢ to 230.8 ¢
16-mosstep Minor 16-mosstep m16ms 4L + 12s 184.6 ¢ to 228.6 ¢
Major 16-mosstep M16ms 5L + 11s 228.6 ¢ to 230.8 ¢
17-mosstep Minor 17-mosstep m17ms 5L + 12s 230.8 ¢ to 242.9 ¢
Major 17-mosstep M17ms 6L + 11s 242.9 ¢ to 276.9 ¢
18-mosstep Minor 18-mosstep m18ms 5L + 13s 230.8 ¢ to 257.1 ¢
Major 18-mosstep M18ms 6L + 12s 257.1 ¢ to 276.9 ¢
19-mosstep Minor 19-mosstep m19ms 5L + 14s 230.8 ¢ to 271.4 ¢
Major 19-mosstep M19ms 6L + 13s 271.4 ¢ to 276.9 ¢
20-mosstep Minor 20-mosstep m20ms 6L + 14s 276.9 ¢ to 285.7 ¢
Major 20-mosstep M20ms 7L + 13s 285.7 ¢ to 323.1 ¢
21-mosstep Minor 21-mosstep m21ms 6L + 15s 276.9 ¢ to 300.0 ¢
Major 21-mosstep M21ms 7L + 14s 300.0 ¢ to 323.1 ¢
22-mosstep Minor 22-mosstep m22ms 6L + 16s 276.9 ¢ to 314.3 ¢
Major 22-mosstep M22ms 7L + 15s 314.3 ¢ to 323.1 ¢
23-mosstep Minor 23-mosstep m23ms 7L + 16s 323.1 ¢ to 328.6 ¢
Major 23-mosstep M23ms 8L + 15s 328.6 ¢ to 369.2 ¢
24-mosstep Minor 24-mosstep m24ms 7L + 17s 323.1 ¢ to 342.9 ¢
Major 24-mosstep M24ms 8L + 16s 342.9 ¢ to 369.2 ¢
25-mosstep Minor 25-mosstep m25ms 7L + 18s 323.1 ¢ to 357.1 ¢
Major 25-mosstep M25ms 8L + 17s 357.1 ¢ to 369.2 ¢
26-mosstep Minor 26-mosstep m26ms 8L + 18s 369.2 ¢ to 371.4 ¢
Major 26-mosstep M26ms 9L + 17s 371.4 ¢ to 415.4 ¢
27-mosstep Minor 27-mosstep m27ms 8L + 19s 369.2 ¢ to 385.7 ¢
Major 27-mosstep M27ms 9L + 18s 385.7 ¢ to 415.4 ¢
28-mosstep Minor 28-mosstep m28ms 8L + 20s 369.2 ¢ to 400.0 ¢
Major 28-mosstep M28ms 9L + 19s 400.0 ¢ to 415.4 ¢
29-mosstep Diminished 29-mosstep d29ms 8L + 21s 369.2 ¢ to 414.3 ¢
Perfect 29-mosstep P29ms 9L + 20s 414.3 ¢ to 415.4 ¢
30-mosstep Minor 30-mosstep m30ms 9L + 21s 415.4 ¢ to 428.6 ¢
Major 30-mosstep M30ms 10L + 20s 428.6 ¢ to 461.5 ¢
31-mosstep Minor 31-mosstep m31ms 9L + 22s 415.4 ¢ to 442.9 ¢
Major 31-mosstep M31ms 10L + 21s 442.9 ¢ to 461.5 ¢
32-mosstep Minor 32-mosstep m32ms 9L + 23s 415.4 ¢ to 457.1 ¢
Major 32-mosstep M32ms 10L + 22s 457.1 ¢ to 461.5 ¢
33-mosstep Minor 33-mosstep m33ms 10L + 23s 461.5 ¢ to 471.4 ¢
Major 33-mosstep M33ms 11L + 22s 471.4 ¢ to 507.7 ¢
34-mosstep Minor 34-mosstep m34ms 10L + 24s 461.5 ¢ to 485.7 ¢
Major 34-mosstep M34ms 11L + 23s 485.7 ¢ to 507.7 ¢
35-mosstep Minor 35-mosstep m35ms 10L + 25s 461.5 ¢ to 500.0 ¢
Major 35-mosstep M35ms 11L + 24s 500.0 ¢ to 507.7 ¢
36-mosstep Minor 36-mosstep m36ms 11L + 25s 507.7 ¢ to 514.3 ¢
Major 36-mosstep M36ms 12L + 24s 514.3 ¢ to 553.8 ¢
37-mosstep Minor 37-mosstep m37ms 11L + 26s 507.7 ¢ to 528.6 ¢
Major 37-mosstep M37ms 12L + 25s 528.6 ¢ to 553.8 ¢
38-mosstep Minor 38-mosstep m38ms 11L + 27s 507.7 ¢ to 542.9 ¢
Major 38-mosstep M38ms 12L + 26s 542.9 ¢ to 553.8 ¢
39-mosstep Minor 39-mosstep m39ms 12L + 27s 553.8 ¢ to 557.1 ¢
Major 39-mosstep M39ms 13L + 26s 557.1 ¢ to 600.0 ¢
40-mosstep Minor 40-mosstep m40ms 12L + 28s 553.8 ¢ to 571.4 ¢
Major 40-mosstep M40ms 13L + 27s 571.4 ¢ to 600.0 ¢
41-mosstep Minor 41-mosstep m41ms 12L + 29s 553.8 ¢ to 585.7 ¢
Major 41-mosstep M41ms 13L + 28s 585.7 ¢ to 600.0 ¢
42-mosstep Perfect 42-mosstep P42ms 13L + 29s 600.0 ¢
43-mosstep Minor 43-mosstep m43ms 13L + 30s 600.0 ¢ to 614.3 ¢
Major 43-mosstep M43ms 14L + 29s 614.3 ¢ to 646.2 ¢
44-mosstep Minor 44-mosstep m44ms 13L + 31s 600.0 ¢ to 628.6 ¢
Major 44-mosstep M44ms 14L + 30s 628.6 ¢ to 646.2 ¢
45-mosstep Minor 45-mosstep m45ms 13L + 32s 600.0 ¢ to 642.9 ¢
Major 45-mosstep M45ms 14L + 31s 642.9 ¢ to 646.2 ¢
46-mosstep Minor 46-mosstep m46ms 14L + 32s 646.2 ¢ to 657.1 ¢
Major 46-mosstep M46ms 15L + 31s 657.1 ¢ to 692.3 ¢
47-mosstep Minor 47-mosstep m47ms 14L + 33s 646.2 ¢ to 671.4 ¢
Major 47-mosstep M47ms 15L + 32s 671.4 ¢ to 692.3 ¢
48-mosstep Minor 48-mosstep m48ms 14L + 34s 646.2 ¢ to 685.7 ¢
Major 48-mosstep M48ms 15L + 33s 685.7 ¢ to 692.3 ¢
49-mosstep Minor 49-mosstep m49ms 15L + 34s 692.3 ¢ to 700.0 ¢
Major 49-mosstep M49ms 16L + 33s 700.0 ¢ to 738.5 ¢
50-mosstep Minor 50-mosstep m50ms 15L + 35s 692.3 ¢ to 714.3 ¢
Major 50-mosstep M50ms 16L + 34s 714.3 ¢ to 738.5 ¢
51-mosstep Minor 51-mosstep m51ms 15L + 36s 692.3 ¢ to 728.6 ¢
Major 51-mosstep M51ms 16L + 35s 728.6 ¢ to 738.5 ¢
52-mosstep Minor 52-mosstep m52ms 16L + 36s 738.5 ¢ to 742.9 ¢
Major 52-mosstep M52ms 17L + 35s 742.9 ¢ to 784.6 ¢
53-mosstep Minor 53-mosstep m53ms 16L + 37s 738.5 ¢ to 757.1 ¢
Major 53-mosstep M53ms 17L + 36s 757.1 ¢ to 784.6 ¢
54-mosstep Minor 54-mosstep m54ms 16L + 38s 738.5 ¢ to 771.4 ¢
Major 54-mosstep M54ms 17L + 37s 771.4 ¢ to 784.6 ¢
55-mosstep Perfect 55-mosstep P55ms 17L + 38s 784.6 ¢ to 785.7 ¢
Augmented 55-mosstep A55ms 18L + 37s 785.7 ¢ to 830.8 ¢
56-mosstep Minor 56-mosstep m56ms 17L + 39s 784.6 ¢ to 800.0 ¢
Major 56-mosstep M56ms 18L + 38s 800.0 ¢ to 830.8 ¢
57-mosstep Minor 57-mosstep m57ms 17L + 40s 784.6 ¢ to 814.3 ¢
Major 57-mosstep M57ms 18L + 39s 814.3 ¢ to 830.8 ¢
58-mosstep Minor 58-mosstep m58ms 17L + 41s 784.6 ¢ to 828.6 ¢
Major 58-mosstep M58ms 18L + 40s 828.6 ¢ to 830.8 ¢
59-mosstep Minor 59-mosstep m59ms 18L + 41s 830.8 ¢ to 842.9 ¢
Major 59-mosstep M59ms 19L + 40s 842.9 ¢ to 876.9 ¢
60-mosstep Minor 60-mosstep m60ms 18L + 42s 830.8 ¢ to 857.1 ¢
Major 60-mosstep M60ms 19L + 41s 857.1 ¢ to 876.9 ¢
61-mosstep Minor 61-mosstep m61ms 18L + 43s 830.8 ¢ to 871.4 ¢
Major 61-mosstep M61ms 19L + 42s 871.4 ¢ to 876.9 ¢
62-mosstep Minor 62-mosstep m62ms 19L + 43s 876.9 ¢ to 885.7 ¢
Major 62-mosstep M62ms 20L + 42s 885.7 ¢ to 923.1 ¢
63-mosstep Minor 63-mosstep m63ms 19L + 44s 876.9 ¢ to 900.0 ¢
Major 63-mosstep M63ms 20L + 43s 900.0 ¢ to 923.1 ¢
64-mosstep Minor 64-mosstep m64ms 19L + 45s 876.9 ¢ to 914.3 ¢
Major 64-mosstep M64ms 20L + 44s 914.3 ¢ to 923.1 ¢
65-mosstep Minor 65-mosstep m65ms 20L + 45s 923.1 ¢ to 928.6 ¢
Major 65-mosstep M65ms 21L + 44s 928.6 ¢ to 969.2 ¢
66-mosstep Minor 66-mosstep m66ms 20L + 46s 923.1 ¢ to 942.9 ¢
Major 66-mosstep M66ms 21L + 45s 942.9 ¢ to 969.2 ¢
67-mosstep Minor 67-mosstep m67ms 20L + 47s 923.1 ¢ to 957.1 ¢
Major 67-mosstep M67ms 21L + 46s 957.1 ¢ to 969.2 ¢
68-mosstep Minor 68-mosstep m68ms 21L + 47s 969.2 ¢ to 971.4 ¢
Major 68-mosstep M68ms 22L + 46s 971.4 ¢ to 1015.4 ¢
69-mosstep Minor 69-mosstep m69ms 21L + 48s 969.2 ¢ to 985.7 ¢
Major 69-mosstep M69ms 22L + 47s 985.7 ¢ to 1015.4 ¢
70-mosstep Minor 70-mosstep m70ms 21L + 49s 969.2 ¢ to 1000.0 ¢
Major 70-mosstep M70ms 22L + 48s 1000.0 ¢ to 1015.4 ¢
71-mosstep Diminished 71-mosstep d71ms 21L + 50s 969.2 ¢ to 1014.3 ¢
Perfect 71-mosstep P71ms 22L + 49s 1014.3 ¢ to 1015.4 ¢
72-mosstep Minor 72-mosstep m72ms 22L + 50s 1015.4 ¢ to 1028.6 ¢
Major 72-mosstep M72ms 23L + 49s 1028.6 ¢ to 1061.5 ¢
73-mosstep Minor 73-mosstep m73ms 22L + 51s 1015.4 ¢ to 1042.9 ¢
Major 73-mosstep M73ms 23L + 50s 1042.9 ¢ to 1061.5 ¢
74-mosstep Minor 74-mosstep m74ms 22L + 52s 1015.4 ¢ to 1057.1 ¢
Major 74-mosstep M74ms 23L + 51s 1057.1 ¢ to 1061.5 ¢
75-mosstep Minor 75-mosstep m75ms 23L + 52s 1061.5 ¢ to 1071.4 ¢
Major 75-mosstep M75ms 24L + 51s 1071.4 ¢ to 1107.7 ¢
76-mosstep Minor 76-mosstep m76ms 23L + 53s 1061.5 ¢ to 1085.7 ¢
Major 76-mosstep M76ms 24L + 52s 1085.7 ¢ to 1107.7 ¢
77-mosstep Minor 77-mosstep m77ms 23L + 54s 1061.5 ¢ to 1100.0 ¢
Major 77-mosstep M77ms 24L + 53s 1100.0 ¢ to 1107.7 ¢
78-mosstep Minor 78-mosstep m78ms 24L + 54s 1107.7 ¢ to 1114.3 ¢
Major 78-mosstep M78ms 25L + 53s 1114.3 ¢ to 1153.8 ¢
79-mosstep Minor 79-mosstep m79ms 24L + 55s 1107.7 ¢ to 1128.6 ¢
Major 79-mosstep M79ms 25L + 54s 1128.6 ¢ to 1153.8 ¢
80-mosstep Minor 80-mosstep m80ms 24L + 56s 1107.7 ¢ to 1142.9 ¢
Major 80-mosstep M80ms 25L + 55s 1142.9 ¢ to 1153.8 ¢
81-mosstep Minor 81-mosstep m81ms 25L + 56s 1153.8 ¢ to 1157.1 ¢
Major 81-mosstep M81ms 26L + 55s 1157.1 ¢ to 1200.0 ¢
82-mosstep Minor 82-mosstep m82ms 25L + 57s 1153.8 ¢ to 1171.4 ¢
Major 82-mosstep M82ms 26L + 56s 1171.4 ¢ to 1200.0 ¢
83-mosstep Minor 83-mosstep m83ms 25L + 58s 1153.8 ¢ to 1185.7 ¢
Major 83-mosstep M83ms 26L + 57s 1185.7 ¢ to 1200.0 ¢
84-mosstep Perfect 84-mosstep P84ms 26L + 58s 1200.0 ¢
Harmonic entropy info for 26L 58s
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 14.3 ¢ ~2.8337 nats ~2.6324 nats
Major 1-mosstep 14.3 ¢ to 46.2 ¢ ~3.8215 nats ~3.3773 nats
Minor 2-mosstep 0.0 ¢ to 28.6 ¢ ~3.7150 nats ~3.1599 nats
Major 2-mosstep 28.6 ¢ to 46.2 ¢ ~4.5124 nats ~4.3834 nats
Minor 3-mosstep 0.0 ¢ to 42.9 ¢ ~4.3961 nats ~3.8177 nats
Major 3-mosstep 42.9 ¢ to 46.2 ¢ ~4.7731 nats ~4.7677 nats
Minor 4-mosstep 46.2 ¢ to 57.1 ¢ ~4.8030 nats ~4.7999 nats
Major 4-mosstep 57.1 ¢ to 92.3 ¢ ~4.7667 nats ~4.7395 nats
Minor 5-mosstep 46.2 ¢ to 71.4 ¢ ~4.7715 nats ~4.7565 nats
Major 5-mosstep 71.4 ¢ to 92.3 ¢ ~4.7308 nats ~4.7168 nats
Minor 6-mosstep 46.2 ¢ to 85.7 ¢ ~4.7358 nats ~4.7153 nats
Major 6-mosstep 85.7 ¢ to 92.3 ¢ ~4.7010 nats ~4.6974 nats
Minor 7-mosstep 92.3 ¢ to 100.0 ¢ ~4.6792 nats ~4.6771 nats
Major 7-mosstep 100.0 ¢ to 138.5 ¢ ~4.6635 nats ~4.6538 nats
Minor 8-mosstep 92.3 ¢ to 114.3 ¢ ~4.6650 nats ~4.6609 nats
Major 8-mosstep 114.3 ¢ to 138.5 ¢ ~4.6515 nats ~4.6454 nats
Minor 9-mosstep 92.3 ¢ to 128.6 ¢ ~4.6531 nats ~4.6463 nats
Major 9-mosstep 128.6 ¢ to 138.5 ¢ ~4.6400 nats ~4.6378 nats
Minor 10-mosstep 138.5 ¢ to 142.9 ¢ ~4.6305 nats ~4.6299 nats
Major 10-mosstep 142.9 ¢ to 184.6 ¢ ~4.6198 nats ~4.6111 nats
Minor 11-mosstep 138.5 ¢ to 157.1 ¢ ~4.6212 nats ~4.6183 nats
Major 11-mosstep 157.1 ¢ to 184.6 ¢ ~4.6100 nats ~4.6047 nats
Minor 12-mosstep 138.5 ¢ to 171.4 ¢ ~4.6113 nats ~4.6063 nats
Major 12-mosstep 171.4 ¢ to 184.6 ¢ ~4.6011 nats ~4.5989 nats
Perfect 13-mosstep 184.6 ¢ to 185.7 ¢ ~4.5932 nats ~4.5931 nats
Augmented 13-mosstep 185.7 ¢ to 230.8 ¢ ~4.5869 nats ~4.5844 nats
Minor 14-mosstep 184.6 ¢ to 200.0 ¢ ~4.5869 nats ~4.5858 nats
Major 14-mosstep 200.0 ¢ to 230.8 ¢ ~4.5845 nats ~4.5843 nats
Minor 15-mosstep 184.6 ¢ to 214.3 ¢ ~4.5846 nats ~4.5843 nats
Major 15-mosstep 214.3 ¢ to 230.8 ¢ ~4.5842 nats ~4.5840 nats
Minor 16-mosstep 184.6 ¢ to 228.6 ¢ ~4.5842 nats ~4.5840 nats
Major 16-mosstep 228.6 ¢ to 230.8 ¢ ~4.5844 nats ~4.5844 nats
Minor 17-mosstep 230.8 ¢ to 242.9 ¢ ~4.5864 nats ~4.5861 nats
Major 17-mosstep 242.9 ¢ to 276.9 ¢ ~4.5797 nats ~4.5704 nats
Minor 18-mosstep 230.8 ¢ to 257.1 ¢ ~4.5814 nats ~4.5767 nats
Major 18-mosstep 257.1 ¢ to 276.9 ¢ ~4.5672 nats ~4.5636 nats
Minor 19-mosstep 230.8 ¢ to 271.4 ¢ ~4.5695 nats ~4.5634 nats
Major 19-mosstep 271.4 ¢ to 276.9 ¢ ~4.5652 nats ~4.5645 nats
Minor 20-mosstep 276.9 ¢ to 285.7 ¢ ~4.5779 nats ~4.5757 nats
Major 20-mosstep 285.7 ¢ to 323.1 ¢ ~4.5729 nats ~4.5559 nats
Minor 21-mosstep 276.9 ¢ to 300.0 ¢ ~4.5763 nats ~4.5705 nats
Major 21-mosstep 300.0 ¢ to 323.1 ¢ ~4.5508 nats ~4.5404 nats
Minor 22-mosstep 276.9 ¢ to 314.3 ¢ ~4.5542 nats ~4.5408 nats
Major 22-mosstep 314.3 ¢ to 323.1 ¢ ~4.5385 nats ~4.5378 nats
Minor 23-mosstep 323.1 ¢ to 328.6 ¢ ~4.5612 nats ~4.5571 nats
Major 23-mosstep 328.6 ¢ to 369.2 ¢ ~4.5995 nats ~4.5798 nats
Minor 24-mosstep 323.1 ¢ to 342.9 ¢ ~4.5975 nats ~4.5832 nats
Major 24-mosstep 342.9 ¢ to 369.2 ¢ ~4.6181 nats ~4.6158 nats
Minor 25-mosstep 323.1 ¢ to 357.1 ¢ ~4.6164 nats ~4.6065 nats
Major 25-mosstep 357.1 ¢ to 369.2 ¢ ~4.6043 nats ~4.5946 nats
Minor 26-mosstep 369.2 ¢ to 371.4 ¢ ~4.5527 nats ~4.5505 nats
Major 26-mosstep 371.4 ¢ to 415.4 ¢ ~4.5006 nats ~4.4847 nats
Minor 27-mosstep 369.2 ¢ to 385.7 ¢ ~4.4972 nats ~4.4881 nats
Major 27-mosstep 385.7 ¢ to 415.4 ¢ ~4.4986 nats ~4.4848 nats
Minor 28-mosstep 369.2 ¢ to 400.0 ¢ ~4.4952 nats ~4.4847 nats
Major 28-mosstep 400.0 ¢ to 415.4 ¢ ~4.5488 nats ~4.5344 nats
Diminished 29-mosstep 369.2 ¢ to 414.3 ¢ ~4.5415 nats ~4.4924 nats
Perfect 29-mosstep 414.3 ¢ to 415.4 ¢ ~4.5952 nats ~4.5947 nats
Minor 30-mosstep 415.4 ¢ to 428.6 ¢ ~4.6046 nats ~4.6039 nats
Major 30-mosstep 428.6 ¢ to 461.5 ¢ ~4.6015 nats ~4.6002 nats
Minor 31-mosstep 415.4 ¢ to 442.9 ¢ ~4.6010 nats ~4.6002 nats
Major 31-mosstep 442.9 ¢ to 461.5 ¢ ~4.6085 nats ~4.6048 nats
Minor 32-mosstep 415.4 ¢ to 457.1 ¢ ~4.6077 nats ~4.6002 nats
Major 32-mosstep 457.1 ¢ to 461.5 ¢ ~4.6189 nats ~4.6188 nats
Minor 33-mosstep 461.5 ¢ to 471.4 ¢ ~4.5984 nats ~4.5907 nats
Major 33-mosstep 471.4 ¢ to 507.7 ¢ ~4.5024 nats ~4.4191 nats
Minor 34-mosstep 461.5 ¢ to 485.7 ¢ ~4.5170 nats ~4.4760 nats
Major 34-mosstep 485.7 ¢ to 507.7 ¢ ~4.4005 nats ~4.3701 nats
Minor 35-mosstep 461.5 ¢ to 500.0 ¢ ~4.4161 nats ~4.3698 nats
Major 35-mosstep 500.0 ¢ to 507.7 ¢ ~4.3719 nats ~4.3678 nats
Minor 36-mosstep 507.7 ¢ to 514.3 ¢ ~4.4572 nats ~4.4412 nats
Major 36-mosstep 514.3 ¢ to 553.8 ¢ ~4.5714 nats ~4.5175 nats
Minor 37-mosstep 507.7 ¢ to 528.6 ¢ ~4.5659 nats ~4.5232 nats
Major 37-mosstep 528.6 ¢ to 553.8 ¢ ~4.6249 nats ~4.6156 nats
Minor 38-mosstep 507.7 ¢ to 542.9 ¢ ~4.6191 nats ~4.5891 nats
Major 38-mosstep 542.9 ¢ to 553.8 ¢ ~4.6285 nats ~4.6260 nats
Minor 39-mosstep 553.8 ¢ to 557.1 ¢ ~4.6139 nats ~4.6129 nats
Major 39-mosstep 557.1 ¢ to 600.0 ¢ ~4.5871 nats ~4.5653 nats
Minor 40-mosstep 553.8 ¢ to 571.4 ¢ ~4.5903 nats ~4.5829 nats
Major 40-mosstep 571.4 ¢ to 600.0 ¢ ~4.5652 nats ~4.5596 nats
Minor 41-mosstep 553.8 ¢ to 585.7 ¢ ~4.5674 nats ~4.5600 nats
Major 41-mosstep 585.7 ¢ to 600.0 ¢ ~4.5626 nats ~4.5603 nats
Perfect 42-mosstep 600.0 ¢ ~4.5799 nats ~4.5799 nats
Minor 43-mosstep 600.0 ¢ to 614.3 ¢ ~4.5941 nats ~4.5911 nats
Major 43-mosstep 614.3 ¢ to 646.2 ¢ ~4.6016 nats ~4.5985 nats
Minor 44-mosstep 600.0 ¢ to 628.6 ¢ ~4.6006 nats ~4.5972 nats
Major 44-mosstep 628.6 ¢ to 646.2 ¢ ~4.6108 nats ~4.6073 nats
Minor 45-mosstep 600.0 ¢ to 642.9 ¢ ~4.6101 nats ~4.6011 nats
Major 45-mosstep 642.9 ¢ to 646.2 ¢ ~4.6280 nats ~4.6269 nats
Minor 46-mosstep 646.2 ¢ to 657.1 ¢ ~4.6483 nats ~4.6443 nats
Major 46-mosstep 657.1 ¢ to 692.3 ¢ ~4.6331 nats ~4.5826 nats
Minor 47-mosstep 646.2 ¢ to 671.4 ¢ ~4.6427 nats ~4.6275 nats
Major 47-mosstep 671.4 ¢ to 692.3 ¢ ~4.5417 nats ~4.4659 nats
Minor 48-mosstep 646.2 ¢ to 685.7 ¢ ~4.5508 nats ~4.4555 nats
Major 48-mosstep 685.7 ¢ to 692.3 ¢ ~4.3405 nats ~4.3085 nats
Minor 49-mosstep 692.3 ¢ to 700.0 ¢ ~4.1505 nats ~4.1375 nats
Major 49-mosstep 700.0 ¢ to 738.5 ¢ ~4.1936 nats ~4.1225 nats
Minor 50-mosstep 692.3 ¢ to 714.3 ¢ ~4.1640 nats ~4.1226 nats
Major 50-mosstep 714.3 ¢ to 738.5 ¢ ~4.3814 nats ~4.2961 nats
Minor 51-mosstep 692.3 ¢ to 728.6 ¢ ~4.3536 nats ~4.1916 nats
Major 51-mosstep 728.6 ¢ to 738.5 ¢ ~4.5700 nats ~4.5490 nats
Minor 52-mosstep 738.5 ¢ to 742.9 ¢ ~4.6447 nats ~4.6422 nats
Major 52-mosstep 742.9 ¢ to 784.6 ¢ ~4.6405 nats ~4.6247 nats
Minor 53-mosstep 738.5 ¢ to 757.1 ¢ ~4.6436 nats ~4.6387 nats
Major 53-mosstep 757.1 ¢ to 784.6 ¢ ~4.6230 nats ~4.6142 nats
Minor 54-mosstep 738.5 ¢ to 771.4 ¢ ~4.6254 nats ~4.6166 nats
Major 54-mosstep 771.4 ¢ to 784.6 ¢ ~4.6100 nats ~4.6078 nats
Perfect 55-mosstep 784.6 ¢ to 785.7 ¢ ~4.6028 nats ~4.6027 nats
Augmented 55-mosstep 785.7 ¢ to 830.8 ¢ ~4.5891 nats ~4.5750 nats
Minor 56-mosstep 784.6 ¢ to 800.0 ¢ ~4.5915 nats ~4.5878 nats
Major 56-mosstep 800.0 ¢ to 830.8 ¢ ~4.5755 nats ~4.5709 nats
Minor 57-mosstep 784.6 ¢ to 814.3 ¢ ~4.5767 nats ~4.5716 nats
Major 57-mosstep 814.3 ¢ to 830.8 ¢ ~4.5732 nats ~4.5712 nats
Minor 58-mosstep 784.6 ¢ to 828.6 ¢ ~4.5748 nats ~4.5709 nats
Major 58-mosstep 828.6 ¢ to 830.8 ¢ ~4.5894 nats ~4.5887 nats
Minor 59-mosstep 830.8 ¢ to 842.9 ¢ ~4.6092 nats ~4.6051 nats
Major 59-mosstep 842.9 ¢ to 876.9 ¢ ~4.6065 nats ~4.5844 nats
Minor 60-mosstep 830.8 ¢ to 857.1 ¢ ~4.6105 nats ~4.6034 nats
Major 60-mosstep 857.1 ¢ to 876.9 ¢ ~4.5650 nats ~4.5335 nats
Minor 61-mosstep 830.8 ¢ to 871.4 ¢ ~4.5689 nats ~4.5256 nats
Major 61-mosstep 871.4 ¢ to 876.9 ¢ ~4.4814 nats ~4.4714 nats
Minor 62-mosstep 876.9 ¢ to 885.7 ¢ ~4.4225 nats ~4.4202 nats
Major 62-mosstep 885.7 ¢ to 923.1 ¢ ~4.4654 nats ~4.4266 nats
Minor 63-mosstep 876.9 ¢ to 900.0 ¢ ~4.4537 nats ~4.4255 nats
Major 63-mosstep 900.0 ¢ to 923.1 ¢ ~4.5456 nats ~4.5162 nats
Minor 64-mosstep 876.9 ¢ to 914.3 ¢ ~4.5339 nats ~4.4677 nats
Major 64-mosstep 914.3 ¢ to 923.1 ¢ ~4.6037 nats ~4.5991 nats
Minor 65-mosstep 923.1 ¢ to 928.6 ¢ ~4.6178 nats ~4.6177 nats
Major 65-mosstep 928.6 ¢ to 969.2 ¢ ~4.6072 nats ~4.5899 nats
Minor 66-mosstep 923.1 ¢ to 942.9 ¢ ~4.6106 nats ~4.6062 nats
Major 66-mosstep 942.9 ¢ to 969.2 ¢ ~4.5845 nats ~4.5653 nats
Minor 67-mosstep 923.1 ¢ to 957.1 ¢ ~4.5879 nats ~4.5710 nats
Major 67-mosstep 957.1 ¢ to 969.2 ¢ ~4.5492 nats ~4.5411 nats
Minor 68-mosstep 969.2 ¢ to 971.4 ¢ ~4.5304 nats ~4.5304 nats
Major 68-mosstep 971.4 ¢ to 1015.4 ¢ ~4.5537 nats ~4.5347 nats
Minor 69-mosstep 969.2 ¢ to 985.7 ¢ ~4.5494 nats ~4.5392 nats
Major 69-mosstep 985.7 ¢ to 1015.4 ¢ ~4.5797 nats ~4.5703 nats
Minor 70-mosstep 969.2 ¢ to 1000.0 ¢ ~4.5771 nats ~4.5606 nats
Major 70-mosstep 1000.0 ¢ to 1015.4 ¢ ~4.5860 nats ~4.5838 nats
Diminished 71-mosstep 969.2 ¢ to 1014.3 ¢ ~4.5841 nats ~4.5800 nats
Perfect 71-mosstep 1014.3 ¢ to 1015.4 ¢ ~4.5787 nats ~4.5786 nats
Minor 72-mosstep 1015.4 ¢ to 1028.6 ¢ ~4.5829 nats ~4.5800 nats
Major 72-mosstep 1028.6 ¢ to 1061.5 ¢ ~4.5982 nats ~4.5915 nats
Minor 73-mosstep 1015.4 ¢ to 1042.9 ¢ ~4.5968 nats ~4.5886 nats
Major 73-mosstep 1042.9 ¢ to 1061.5 ¢ ~4.6067 nats ~4.6055 nats
Minor 74-mosstep 1015.4 ¢ to 1057.1 ¢ ~4.6052 nats ~4.5988 nats
Major 74-mosstep 1057.1 ¢ to 1061.5 ¢ ~4.6079 nats ~4.6079 nats
Minor 75-mosstep 1061.5 ¢ to 1071.4 ¢ ~4.6078 nats ~4.6077 nats
Major 75-mosstep 1071.4 ¢ to 1107.7 ¢ ~4.6093 nats ~4.6082 nats
Minor 76-mosstep 1061.5 ¢ to 1085.7 ¢ ~4.6089 nats ~4.6081 nats
Major 76-mosstep 1085.7 ¢ to 1107.7 ¢ ~4.6127 nats ~4.6110 nats
Minor 77-mosstep 1061.5 ¢ to 1100.0 ¢ ~4.6123 nats ~4.6092 nats
Major 77-mosstep 1100.0 ¢ to 1107.7 ¢ ~4.6196 nats ~4.6185 nats
Minor 78-mosstep 1107.7 ¢ to 1114.3 ¢ ~4.6319 nats ~4.6298 nats
Major 78-mosstep 1114.3 ¢ to 1153.8 ¢ ~4.6548 nats ~4.6406 nats
Minor 79-mosstep 1107.7 ¢ to 1128.6 ¢ ~4.6510 nats ~4.6415 nats
Major 79-mosstep 1128.6 ¢ to 1153.8 ¢ ~4.6825 nats ~4.6698 nats
Minor 80-mosstep 1107.7 ¢ to 1142.9 ¢ ~4.6787 nats ~4.6569 nats
Major 80-mosstep 1142.9 ¢ to 1153.8 ¢ ~4.7159 nats ~4.7106 nats
Minor 81-mosstep 1153.8 ¢ to 1157.1 ¢ ~4.7273 nats ~4.7261 nats
Major 81-mosstep 1157.1 ¢ to 1200.0 ¢ ~4.5632 nats ~4.2728 nats
Minor 82-mosstep 1153.8 ¢ to 1171.4 ¢ ~4.6237 nats ~4.5645 nats
Major 82-mosstep 1171.4 ¢ to 1200.0 ¢ ~4.2093 nats ~3.8835 nats
Minor 83-mosstep 1153.8 ¢ to 1185.7 ¢ ~4.2682 nats ~4.0189 nats
Major 83-mosstep 1185.7 ¢ to 1200.0 ¢ ~3.6606 nats ~3.5104 nats
Perfect 84-mosstep 1200.0 ¢ ~3.3273 nats ~3.3273 nats
Simple Tunings of 26L 58s
Scale degree Abbrev. Basic (2:1)
110edo 		Hard (3:1)
136edo 		Soft (3:2)
194edo
Steps ¢ Steps ¢ Steps ¢
Perfect 0-mosdegree P0md 0\110 0.0 0\136 0.0 0\194 0.0
Minor 1-mosdegree m1md 1\110 10.9 1\136 8.8 2\194 12.4
Major 1-mosdegree M1md 2\110 21.8 3\136 26.5 3\194 18.6
Minor 2-mosdegree m2md 2\110 21.8 2\136 17.6 4\194 24.7
Major 2-mosdegree M2md 3\110 32.7 4\136 35.3 5\194 30.9
Minor 3-mosdegree m3md 3\110 32.7 3\136 26.5 6\194 37.1
Major 3-mosdegree M3md 4\110 43.6 5\136 44.1 7\194 43.3
Minor 4-mosdegree m4md 5\110 54.5 6\136 52.9 9\194 55.7
Major 4-mosdegree M4md 6\110 65.5 8\136 70.6 10\194 61.9
Minor 5-mosdegree m5md 6\110 65.5 7\136 61.8 11\194 68.0
Major 5-mosdegree M5md 7\110 76.4 9\136 79.4 12\194 74.2
Minor 6-mosdegree m6md 7\110 76.4 8\136 70.6 13\194 80.4
Major 6-mosdegree M6md 8\110 87.3 10\136 88.2 14\194 86.6
Minor 7-mosdegree m7md 9\110 98.2 11\136 97.1 16\194 99.0
Major 7-mosdegree M7md 10\110 109.1 13\136 114.7 17\194 105.2
Minor 8-mosdegree m8md 10\110 109.1 12\136 105.9 18\194 111.3
Major 8-mosdegree M8md 11\110 120.0 14\136 123.5 19\194 117.5
Minor 9-mosdegree m9md 11\110 120.0 13\136 114.7 20\194 123.7
Major 9-mosdegree M9md 12\110 130.9 15\136 132.4 21\194 129.9
Minor 10-mosdegree m10md 13\110 141.8 16\136 141.2 23\194 142.3
Major 10-mosdegree M10md 14\110 152.7 18\136 158.8 24\194 148.5
Minor 11-mosdegree m11md 14\110 152.7 17\136 150.0 25\194 154.6
Major 11-mosdegree M11md 15\110 163.6 19\136 167.6 26\194 160.8
Minor 12-mosdegree m12md 15\110 163.6 18\136 158.8 27\194 167.0
Major 12-mosdegree M12md 16\110 174.5 20\136 176.5 28\194 173.2
Perfect 13-mosdegree P13md 17\110 185.5 21\136 185.3 30\194 185.6
Augmented 13-mosdegree A13md 18\110 196.4 23\136 202.9 31\194 191.8
Minor 14-mosdegree m14md 18\110 196.4 22\136 194.1 32\194 197.9
Major 14-mosdegree M14md 19\110 207.3 24\136 211.8 33\194 204.1
Minor 15-mosdegree m15md 19\110 207.3 23\136 202.9 34\194 210.3
Major 15-mosdegree M15md 20\110 218.2 25\136 220.6 35\194 216.5
Minor 16-mosdegree m16md 20\110 218.2 24\136 211.8 36\194 222.7
Major 16-mosdegree M16md 21\110 229.1 26\136 229.4 37\194 228.9
Minor 17-mosdegree m17md 22\110 240.0 27\136 238.2 39\194 241.2
Major 17-mosdegree M17md 23\110 250.9 29\136 255.9 40\194 247.4
Minor 18-mosdegree m18md 23\110 250.9 28\136 247.1 41\194 253.6
Major 18-mosdegree M18md 24\110 261.8 30\136 264.7 42\194 259.8
Minor 19-mosdegree m19md 24\110 261.8 29\136 255.9 43\194 266.0
Major 19-mosdegree M19md 25\110 272.7 31\136 273.5 44\194 272.2
Minor 20-mosdegree m20md 26\110 283.6 32\136 282.4 46\194 284.5
Major 20-mosdegree M20md 27\110 294.5 34\136 300.0 47\194 290.7
Minor 21-mosdegree m21md 27\110 294.5 33\136 291.2 48\194 296.9
Major 21-mosdegree M21md 28\110 305.5 35\136 308.8 49\194 303.1
Minor 22-mosdegree m22md 28\110 305.5 34\136 300.0 50\194 309.3
Major 22-mosdegree M22md 29\110 316.4 36\136 317.6 51\194 315.5
Minor 23-mosdegree m23md 30\110 327.3 37\136 326.5 53\194 327.8
Major 23-mosdegree M23md 31\110 338.2 39\136 344.1 54\194 334.0
Minor 24-mosdegree m24md 31\110 338.2 38\136 335.3 55\194 340.2
Major 24-mosdegree M24md 32\110 349.1 40\136 352.9 56\194 346.4
Minor 25-mosdegree m25md 32\110 349.1 39\136 344.1 57\194 352.6
Major 25-mosdegree M25md 33\110 360.0 41\136 361.8 58\194 358.8
Minor 26-mosdegree m26md 34\110 370.9 42\136 370.6 60\194 371.1
Major 26-mosdegree M26md 35\110 381.8 44\136 388.2 61\194 377.3
Minor 27-mosdegree m27md 35\110 381.8 43\136 379.4 62\194 383.5
Major 27-mosdegree M27md 36\110 392.7 45\136 397.1 63\194 389.7
Minor 28-mosdegree m28md 36\110 392.7 44\136 388.2 64\194 395.9
Major 28-mosdegree M28md 37\110 403.6 46\136 405.9 65\194 402.1
Diminished 29-mosdegree d29md 37\110 403.6 45\136 397.1 66\194 408.2
Perfect 29-mosdegree P29md 38\110 414.5 47\136 414.7 67\194 414.4
Minor 30-mosdegree m30md 39\110 425.5 48\136 423.5 69\194 426.8
Major 30-mosdegree M30md 40\110 436.4 50\136 441.2 70\194 433.0
Minor 31-mosdegree m31md 40\110 436.4 49\136 432.4 71\194 439.2
Major 31-mosdegree M31md 41\110 447.3 51\136 450.0 72\194 445.4
Minor 32-mosdegree m32md 41\110 447.3 50\136 441.2 73\194 451.5
Major 32-mosdegree M32md 42\110 458.2 52\136 458.8 74\194 457.7
Minor 33-mosdegree m33md 43\110 469.1 53\136 467.6 76\194 470.1
Major 33-mosdegree M33md 44\110 480.0 55\136 485.3 77\194 476.3
Minor 34-mosdegree m34md 44\110 480.0 54\136 476.5 78\194 482.5
Major 34-mosdegree M34md 45\110 490.9 56\136 494.1 79\194 488.7
Minor 35-mosdegree m35md 45\110 490.9 55\136 485.3 80\194 494.8
Major 35-mosdegree M35md 46\110 501.8 57\136 502.9 81\194 501.0
Minor 36-mosdegree m36md 47\110 512.7 58\136 511.8 83\194 513.4
Major 36-mosdegree M36md 48\110 523.6 60\136 529.4 84\194 519.6
Minor 37-mosdegree m37md 48\110 523.6 59\136 520.6 85\194 525.8
Major 37-mosdegree M37md 49\110 534.5 61\136 538.2 86\194 532.0
Minor 38-mosdegree m38md 49\110 534.5 60\136 529.4 87\194 538.1
Major 38-mosdegree M38md 50\110 545.5 62\136 547.1 88\194 544.3
Minor 39-mosdegree m39md 51\110 556.4 63\136 555.9 90\194 556.7
Major 39-mosdegree M39md 52\110 567.3 65\136 573.5 91\194 562.9
Minor 40-mosdegree m40md 52\110 567.3 64\136 564.7 92\194 569.1
Major 40-mosdegree M40md 53\110 578.2 66\136 582.4 93\194 575.3
Minor 41-mosdegree m41md 53\110 578.2 65\136 573.5 94\194 581.4
Major 41-mosdegree M41md 54\110 589.1 67\136 591.2 95\194 587.6
Perfect 42-mosdegree P42md 55\110 600.0 68\136 600.0 97\194 600.0
Minor 43-mosdegree m43md 56\110 610.9 69\136 608.8 99\194 612.4
Major 43-mosdegree M43md 57\110 621.8 71\136 626.5 100\194 618.6
Minor 44-mosdegree m44md 57\110 621.8 70\136 617.6 101\194 624.7
Major 44-mosdegree M44md 58\110 632.7 72\136 635.3 102\194 630.9
Minor 45-mosdegree m45md 58\110 632.7 71\136 626.5 103\194 637.1
Major 45-mosdegree M45md 59\110 643.6 73\136 644.1 104\194 643.3
Minor 46-mosdegree m46md 60\110 654.5 74\136 652.9 106\194 655.7
Major 46-mosdegree M46md 61\110 665.5 76\136 670.6 107\194 661.9
Minor 47-mosdegree m47md 61\110 665.5 75\136 661.8 108\194 668.0
Major 47-mosdegree M47md 62\110 676.4 77\136 679.4 109\194 674.2
Minor 48-mosdegree m48md 62\110 676.4 76\136 670.6 110\194 680.4
Major 48-mosdegree M48md 63\110 687.3 78\136 688.2 111\194 686.6
Minor 49-mosdegree m49md 64\110 698.2 79\136 697.1 113\194 699.0
Major 49-mosdegree M49md 65\110 709.1 81\136 714.7 114\194 705.2
Minor 50-mosdegree m50md 65\110 709.1 80\136 705.9 115\194 711.3
Major 50-mosdegree M50md 66\110 720.0 82\136 723.5 116\194 717.5
Minor 51-mosdegree m51md 66\110 720.0 81\136 714.7 117\194 723.7
Major 51-mosdegree M51md 67\110 730.9 83\136 732.4 118\194 729.9
Minor 52-mosdegree m52md 68\110 741.8 84\136 741.2 120\194 742.3
Major 52-mosdegree M52md 69\110 752.7 86\136 758.8 121\194 748.5
Minor 53-mosdegree m53md 69\110 752.7 85\136 750.0 122\194 754.6
Major 53-mosdegree M53md 70\110 763.6 87\136 767.6 123\194 760.8
Minor 54-mosdegree m54md 70\110 763.6 86\136 758.8 124\194 767.0
Major 54-mosdegree M54md 71\110 774.5 88\136 776.5 125\194 773.2
Perfect 55-mosdegree P55md 72\110 785.5 89\136 785.3 127\194 785.6
Augmented 55-mosdegree A55md 73\110 796.4 91\136 802.9 128\194 791.8
Minor 56-mosdegree m56md 73\110 796.4 90\136 794.1 129\194 797.9
Major 56-mosdegree M56md 74\110 807.3 92\136 811.8 130\194 804.1
Minor 57-mosdegree m57md 74\110 807.3 91\136 802.9 131\194 810.3
Major 57-mosdegree M57md 75\110 818.2 93\136 820.6 132\194 816.5
Minor 58-mosdegree m58md 75\110 818.2 92\136 811.8 133\194 822.7
Major 58-mosdegree M58md 76\110 829.1 94\136 829.4 134\194 828.9
Minor 59-mosdegree m59md 77\110 840.0 95\136 838.2 136\194 841.2
Major 59-mosdegree M59md 78\110 850.9 97\136 855.9 137\194 847.4
Minor 60-mosdegree m60md 78\110 850.9 96\136 847.1 138\194 853.6
Major 60-mosdegree M60md 79\110 861.8 98\136 864.7 139\194 859.8
Minor 61-mosdegree m61md 79\110 861.8 97\136 855.9 140\194 866.0
Major 61-mosdegree M61md 80\110 872.7 99\136 873.5 141\194 872.2
Minor 62-mosdegree m62md 81\110 883.6 100\136 882.4 143\194 884.5
Major 62-mosdegree M62md 82\110 894.5 102\136 900.0 144\194 890.7
Minor 63-mosdegree m63md 82\110 894.5 101\136 891.2 145\194 896.9
Major 63-mosdegree M63md 83\110 905.5 103\136 908.8 146\194 903.1
Minor 64-mosdegree m64md 83\110 905.5 102\136 900.0 147\194 909.3
Major 64-mosdegree M64md 84\110 916.4 104\136 917.6 148\194 915.5
Minor 65-mosdegree m65md 85\110 927.3 105\136 926.5 150\194 927.8
Major 65-mosdegree M65md 86\110 938.2 107\136 944.1 151\194 934.0
Minor 66-mosdegree m66md 86\110 938.2 106\136 935.3 152\194 940.2
Major 66-mosdegree M66md 87\110 949.1 108\136 952.9 153\194 946.4
Minor 67-mosdegree m67md 87\110 949.1 107\136 944.1 154\194 952.6
Major 67-mosdegree M67md 88\110 960.0 109\136 961.8 155\194 958.8
Minor 68-mosdegree m68md 89\110 970.9 110\136 970.6 157\194 971.1
Major 68-mosdegree M68md 90\110 981.8 112\136 988.2 158\194 977.3
Minor 69-mosdegree m69md 90\110 981.8 111\136 979.4 159\194 983.5
Major 69-mosdegree M69md 91\110 992.7 113\136 997.1 160\194 989.7
Minor 70-mosdegree m70md 91\110 992.7 112\136 988.2 161\194 995.9
Major 70-mosdegree M70md 92\110 1003.6 114\136 1005.9 162\194 1002.1
Diminished 71-mosdegree d71md 92\110 1003.6 113\136 997.1 163\194 1008.2
Perfect 71-mosdegree P71md 93\110 1014.5 115\136 1014.7 164\194 1014.4
Minor 72-mosdegree m72md 94\110 1025.5 116\136 1023.5 166\194 1026.8
Major 72-mosdegree M72md 95\110 1036.4 118\136 1041.2 167\194 1033.0
Minor 73-mosdegree m73md 95\110 1036.4 117\136 1032.4 168\194 1039.2
Major 73-mosdegree M73md 96\110 1047.3 119\136 1050.0 169\194 1045.4
Minor 74-mosdegree m74md 96\110 1047.3 118\136 1041.2 170\194 1051.5
Major 74-mosdegree M74md 97\110 1058.2 120\136 1058.8 171\194 1057.7
Minor 75-mosdegree m75md 98\110 1069.1 121\136 1067.6 173\194 1070.1
Major 75-mosdegree M75md 99\110 1080.0 123\136 1085.3 174\194 1076.3
Minor 76-mosdegree m76md 99\110 1080.0 122\136 1076.5 175\194 1082.5
Major 76-mosdegree M76md 100\110 1090.9 124\136 1094.1 176\194 1088.7
Minor 77-mosdegree m77md 100\110 1090.9 123\136 1085.3 177\194 1094.8
Major 77-mosdegree M77md 101\110 1101.8 125\136 1102.9 178\194 1101.0
Minor 78-mosdegree m78md 102\110 1112.7 126\136 1111.8 180\194 1113.4
Major 78-mosdegree M78md 103\110 1123.6 128\136 1129.4 181\194 1119.6
Minor 79-mosdegree m79md 103\110 1123.6 127\136 1120.6 182\194 1125.8
Major 79-mosdegree M79md 104\110 1134.5 129\136 1138.2 183\194 1132.0
Minor 80-mosdegree m80md 104\110 1134.5 128\136 1129.4 184\194 1138.1
Major 80-mosdegree M80md 105\110 1145.5 130\136 1147.1 185\194 1144.3
Minor 81-mosdegree m81md 106\110 1156.4 131\136 1155.9 187\194 1156.7
Major 81-mosdegree M81md 107\110 1167.3 133\136 1173.5 188\194 1162.9
Minor 82-mosdegree m82md 107\110 1167.3 132\136 1164.7 189\194 1169.1
Major 82-mosdegree M82md 108\110 1178.2 134\136 1182.4 190\194 1175.3
Minor 83-mosdegree m83md 108\110 1178.2 133\136 1173.5 191\194 1181.4
Major 83-mosdegree M83md 109\110 1189.1 135\136 1191.2 192\194 1187.6
Perfect 84-mosdegree P84md 110\110 1200.0 136\136 1200.0 194\194 1200.0
Generator chain of 26L 58s
Bright gens Scale degree Abbrev. Scale degree Abbrev.
54 Augmented 12-mosdegree A12md Augmented 54-mosdegree A54md
53 Augmented 25-mosdegree A25md Augmented 67-mosdegree A67md
52 Augmented 38-mosdegree A38md Augmented 80-mosdegree A80md
51 Augmented 9-mosdegree A9md Augmented 51-mosdegree A51md
50 Augmented 22-mosdegree A22md Augmented 64-mosdegree A64md
49 Augmented 35-mosdegree A35md Augmented 77-mosdegree A77md
48 Augmented 6-mosdegree A6md Augmented 48-mosdegree A48md
47 Augmented 19-mosdegree A19md Augmented 61-mosdegree A61md
46 Augmented 32-mosdegree A32md Augmented 74-mosdegree A74md
45 Augmented 3-mosdegree A3md Augmented 45-mosdegree A45md
44 Augmented 16-mosdegree A16md Augmented 58-mosdegree A58md
43 Augmented 29-mosdegree A29md Augmented 71-mosdegree A71md
42 Augmented 0-mosdegree A0md Augmented 42-mosdegree A42md
41 Augmented 13-mosdegree A13md Augmented 55-mosdegree A55md
40 Major 26-mosdegree M26md Major 68-mosdegree M68md
39 Major 39-mosdegree M39md Major 81-mosdegree M81md
38 Major 10-mosdegree M10md Major 52-mosdegree M52md
37 Major 23-mosdegree M23md Major 65-mosdegree M65md
36 Major 36-mosdegree M36md Major 78-mosdegree M78md
35 Major 7-mosdegree M7md Major 49-mosdegree M49md
34 Major 20-mosdegree M20md Major 62-mosdegree M62md
33 Major 33-mosdegree M33md Major 75-mosdegree M75md
32 Major 4-mosdegree M4md Major 46-mosdegree M46md
31 Major 17-mosdegree M17md Major 59-mosdegree M59md
30 Major 30-mosdegree M30md Major 72-mosdegree M72md
29 Major 1-mosdegree M1md Major 43-mosdegree M43md
28 Major 14-mosdegree M14md Major 56-mosdegree M56md
27 Major 27-mosdegree M27md Major 69-mosdegree M69md
26 Major 40-mosdegree M40md Major 82-mosdegree M82md
25 Major 11-mosdegree M11md Major 53-mosdegree M53md
24 Major 24-mosdegree M24md Major 66-mosdegree M66md
23 Major 37-mosdegree M37md Major 79-mosdegree M79md
22 Major 8-mosdegree M8md Major 50-mosdegree M50md
21 Major 21-mosdegree M21md Major 63-mosdegree M63md
20 Major 34-mosdegree M34md Major 76-mosdegree M76md
19 Major 5-mosdegree M5md Major 47-mosdegree M47md
18 Major 18-mosdegree M18md Major 60-mosdegree M60md
17 Major 31-mosdegree M31md Major 73-mosdegree M73md
16 Major 2-mosdegree M2md Major 44-mosdegree M44md
15 Major 15-mosdegree M15md Major 57-mosdegree M57md
14 Major 28-mosdegree M28md Major 70-mosdegree M70md
13 Major 41-mosdegree M41md Major 83-mosdegree M83md
12 Major 12-mosdegree M12md Major 54-mosdegree M54md
11 Major 25-mosdegree M25md Major 67-mosdegree M67md
10 Major 38-mosdegree M38md Major 80-mosdegree M80md
9 Major 9-mosdegree M9md Major 51-mosdegree M51md
8 Major 22-mosdegree M22md Major 64-mosdegree M64md
7 Major 35-mosdegree M35md Major 77-mosdegree M77md
6 Major 6-mosdegree M6md Major 48-mosdegree M48md
5 Major 19-mosdegree M19md Major 61-mosdegree M61md
4 Major 32-mosdegree M32md Major 74-mosdegree M74md
3 Major 3-mosdegree M3md Major 45-mosdegree M45md
2 Major 16-mosdegree M16md Major 58-mosdegree M58md
1 Perfect 29-mosdegree P29md Perfect 71-mosdegree P71md
0 Perfect 0-mosdegree
Perfect 42-mosdegree		 P0md
P42md		 Perfect 42-mosdegree
Perfect 84-mosdegree		 P42md
P84md
−1 Perfect 13-mosdegree P13md Perfect 55-mosdegree P55md
−2 Minor 26-mosdegree m26md Minor 68-mosdegree m68md
−3 Minor 39-mosdegree m39md Minor 81-mosdegree m81md
−4 Minor 10-mosdegree m10md Minor 52-mosdegree m52md
−5 Minor 23-mosdegree m23md Minor 65-mosdegree m65md
−6 Minor 36-mosdegree m36md Minor 78-mosdegree m78md
−7 Minor 7-mosdegree m7md Minor 49-mosdegree m49md
−8 Minor 20-mosdegree m20md Minor 62-mosdegree m62md
−9 Minor 33-mosdegree m33md Minor 75-mosdegree m75md
−10 Minor 4-mosdegree m4md Minor 46-mosdegree m46md
−11 Minor 17-mosdegree m17md Minor 59-mosdegree m59md
−12 Minor 30-mosdegree m30md Minor 72-mosdegree m72md
−13 Minor 1-mosdegree m1md Minor 43-mosdegree m43md
−14 Minor 14-mosdegree m14md Minor 56-mosdegree m56md
−15 Minor 27-mosdegree m27md Minor 69-mosdegree m69md
−16 Minor 40-mosdegree m40md Minor 82-mosdegree m82md
−17 Minor 11-mosdegree m11md Minor 53-mosdegree m53md
−18 Minor 24-mosdegree m24md Minor 66-mosdegree m66md
−19 Minor 37-mosdegree m37md Minor 79-mosdegree m79md
−20 Minor 8-mosdegree m8md Minor 50-mosdegree m50md
−21 Minor 21-mosdegree m21md Minor 63-mosdegree m63md
−22 Minor 34-mosdegree m34md Minor 76-mosdegree m76md
−23 Minor 5-mosdegree m5md Minor 47-mosdegree m47md
−24 Minor 18-mosdegree m18md Minor 60-mosdegree m60md
−25 Minor 31-mosdegree m31md Minor 73-mosdegree m73md
−26 Minor 2-mosdegree m2md Minor 44-mosdegree m44md
−27 Minor 15-mosdegree m15md Minor 57-mosdegree m57md
−28 Minor 28-mosdegree m28md Minor 70-mosdegree m70md
−29 Minor 41-mosdegree m41md Minor 83-mosdegree m83md
−30 Minor 12-mosdegree m12md Minor 54-mosdegree m54md
−31 Minor 25-mosdegree m25md Minor 67-mosdegree m67md
−32 Minor 38-mosdegree m38md Minor 80-mosdegree m80md
−33 Minor 9-mosdegree m9md Minor 51-mosdegree m51md
−34 Minor 22-mosdegree m22md Minor 64-mosdegree m64md
−35 Minor 35-mosdegree m35md Minor 77-mosdegree m77md
−36 Minor 6-mosdegree m6md Minor 48-mosdegree m48md
−37 Minor 19-mosdegree m19md Minor 61-mosdegree m61md
−38 Minor 32-mosdegree m32md Minor 74-mosdegree m74md
−39 Minor 3-mosdegree m3md Minor 45-mosdegree m45md
−40 Minor 16-mosdegree m16md Minor 58-mosdegree m58md
−41 Diminished 29-mosdegree d29md Diminished 71-mosdegree d71md
−42 Diminished 42-mosdegree d42md Diminished 84-mosdegree d84md
−43 Diminished 13-mosdegree d13md Diminished 55-mosdegree d55md
−44 Diminished 26-mosdegree d26md Diminished 68-mosdegree d68md
−45 Diminished 39-mosdegree d39md Diminished 81-mosdegree d81md
−46 Diminished 10-mosdegree d10md Diminished 52-mosdegree d52md
−47 Diminished 23-mosdegree d23md Diminished 65-mosdegree d65md
−48 Diminished 36-mosdegree d36md Diminished 78-mosdegree d78md
−49 Diminished 7-mosdegree d7md Diminished 49-mosdegree d49md
−50 Diminished 20-mosdegree d20md Diminished 62-mosdegree d62md
−51 Diminished 33-mosdegree d33md Diminished 75-mosdegree d75md
−52 Diminished 4-mosdegree d4md Diminished 46-mosdegree d46md
−53 Diminished 17-mosdegree d17md Diminished 59-mosdegree d59md
−54 Diminished 30-mosdegree d30md Diminished 72-mosdegree d72md
Modes of 26L 58s
UDP Cyclic
order		 Step
pattern
82|0(2) 1 LssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsss
80|2(2) 30 LssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsss
78|4(2) 17 LssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsss
76|6(2) 4 LssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLss
74|8(2) 33 LssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLss
72|10(2) 20 LssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLss
70|12(2) 7 LssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLss
68|14(2) 36 LssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLss
66|16(2) 23 LssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLss
64|18(2) 10 LssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLss
62|20(2) 39 LsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLss
60|22(2) 26 LsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLss
58|24(2) 13 LsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLss
56|26(2) 42 sLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLss
54|28(2) 29 sLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLss
52|30(2) 16 sLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLss
50|32(2) 3 sLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLs
48|34(2) 32 sLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLs
46|36(2) 19 sLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLs
44|38(2) 6 sLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLs
42|40(2) 35 sLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLs
40|42(2) 22 sLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLs
38|44(2) 9 sLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLs
36|46(2) 38 sLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLs
34|48(2) 25 sLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLs
32|50(2) 12 sLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLs
30|52(2) 41 ssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLs
28|54(2) 28 ssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLs
26|56(2) 15 ssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLs
24|58(2) 2 ssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssL
22|60(2) 31 ssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssL
20|62(2) 18 ssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssL
18|64(2) 5 ssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssL
16|66(2) 34 ssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssL
14|68(2) 21 ssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssL
12|70(2) 8 ssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssL
10|72(2) 37 ssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssL
8|74(2) 24 ssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssL
6|76(2) 11 ssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssL
4|78(2) 40 sssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssL
2|80(2) 27 sssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssL
0|82(2) 14 sssLssLssLssLsssLssLssLssLsssLssLssLssLssLsssLssLssLssLsssLssLssLssLsssLssLssLssLssL

Scale tree

Scale tree and tuning spectrum of 26L 58s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
29\84 414.286 185.714 1:1 1.000 Equalized 26L 58s
154\446 414.350 185.650 6:5 1.200
125\362 414.365 185.635 5:4 1.250
221\640 414.375 185.625 9:7 1.286
96\278 414.388 185.612 4:3 1.333 Supersoft 26L 58s
259\750 414.400 185.600 11:8 1.375
163\472 414.407 185.593 7:5 1.400
230\666 414.414 185.586 10:7 1.429
67\194 414.433 185.567 3:2 1.500 Soft 26L 58s
239\692 414.451 185.549 11:7 1.571
172\498 414.458 185.542 8:5 1.600
277\802 414.464 185.536 13:8 1.625
105\304 414.474 185.526 5:3 1.667 Semisoft 26L 58s
248\718 414.485 185.515 12:7 1.714
143\414 414.493 185.507 7:4 1.750
181\524 414.504 185.496 9:5 1.800
38\110 414.545 185.455 2:1 2.000 Basic 26L 58s
Scales with tunings softer than this are proper
161\466 414.592 185.408 9:4 2.250
123\356 414.607 185.393 7:3 2.333
208\602 414.618 185.382 12:5 2.400
85\246 414.634 185.366 5:2 2.500 Semihard 26L 58s
217\628 414.650 185.350 13:5 2.600
132\382 414.660 185.340 8:3 2.667
179\518 414.672 185.328 11:4 2.750
47\136 414.706 185.294 3:1 3.000 Hard 26L 58s
150\434 414.747 185.253 10:3 3.333
103\298 414.765 185.235 7:2 3.500
159\460 414.783 185.217 11:3 3.667
56\162 414.815 185.185 4:1 4.000 Superhard 26L 58s
121\350 414.857 185.143 9:2 4.500
65\188 414.894 185.106 5:1 5.000
74\214 414.953 185.047 6:1 6.000
9\26 415.385 184.615 1:0 → ∞ Collapsed 26L 58s
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