User:MisterShafXen/8L 61s

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8L 61s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 61 small steps, repeating every octave. 8L 61s is related to 5L 3s, expanding it by 61 tones. Generators that produce this scale range from 747.8 ¢ to 750 ¢, or from 450 ¢ to 452.2 ¢.

↖ 7L 60s ↑ 8L 60s 9L 60s ↗
← 7L 61s 8L 61s 9L 61s →
↙ 7L 62s ↓ 8L 62s 9L 62s ↘
Scale structure
Step pattern ...69 steps...
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 43\69 to 5\8 (747.8 ¢ to 750.0 ¢)
Dark 3\8 to 26\69 (450.0 ¢ to 452.2 ¢)
TAMNAMS information
Related to 5L 3s (oneirotonic)
With tunings 1:1 to 9:8
Related MOS scales
Parent 8L 53s
Sister 61L 8s
Daughters 69L 8s, 8L 69s
Neutralized 16L 53s
2-Flought 77L 61s, 8L 130s
Equal tunings
Equalized (L:s = 1:1) 43\69 (747.8 ¢)
Supersoft (L:s = 4:3) 134\215 (747.9 ¢)
Soft (L:s = 3:2) 91\146 (747.9 ¢)
Semisoft (L:s = 5:3) 139\223 (748.0 ¢)
Basic (L:s = 2:1) 48\77 (748.1 ¢)
Semihard (L:s = 5:2) 101\162 (748.1 ¢)
Hard (L:s = 3:1) 53\85 (748.2 ¢)
Superhard (L:s = 4:1) 58\93 (748.4 ¢)
Collapsed (L:s = 1:0) 5\8 (750.0 ¢)
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Scale properties

Intervals of 8L 61s
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 17.4 ¢
Major 1-mosstep M1ms L 17.4 ¢ to 150.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 34.8 ¢
Major 2-mosstep M2ms L + s 34.8 ¢ to 150.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 52.2 ¢
Major 3-mosstep M3ms L + 2s 52.2 ¢ to 150.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 69.6 ¢
Major 4-mosstep M4ms L + 3s 69.6 ¢ to 150.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 87.0 ¢
Major 5-mosstep M5ms L + 4s 87.0 ¢ to 150.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 104.3 ¢
Major 6-mosstep M6ms L + 5s 104.3 ¢ to 150.0 ¢
7-mosstep Minor 7-mosstep m7ms 7s 0.0 ¢ to 121.7 ¢
Major 7-mosstep M7ms L + 6s 121.7 ¢ to 150.0 ¢
8-mosstep Minor 8-mosstep m8ms 8s 0.0 ¢ to 139.1 ¢
Major 8-mosstep M8ms L + 7s 139.1 ¢ to 150.0 ¢
9-mosstep Minor 9-mosstep m9ms L + 8s 150.0 ¢ to 156.5 ¢
Major 9-mosstep M9ms 2L + 7s 156.5 ¢ to 300.0 ¢
10-mosstep Minor 10-mosstep m10ms L + 9s 150.0 ¢ to 173.9 ¢
Major 10-mosstep M10ms 2L + 8s 173.9 ¢ to 300.0 ¢
11-mosstep Minor 11-mosstep m11ms L + 10s 150.0 ¢ to 191.3 ¢
Major 11-mosstep M11ms 2L + 9s 191.3 ¢ to 300.0 ¢
12-mosstep Minor 12-mosstep m12ms L + 11s 150.0 ¢ to 208.7 ¢
Major 12-mosstep M12ms 2L + 10s 208.7 ¢ to 300.0 ¢
13-mosstep Minor 13-mosstep m13ms L + 12s 150.0 ¢ to 226.1 ¢
Major 13-mosstep M13ms 2L + 11s 226.1 ¢ to 300.0 ¢
14-mosstep Minor 14-mosstep m14ms L + 13s 150.0 ¢ to 243.5 ¢
Major 14-mosstep M14ms 2L + 12s 243.5 ¢ to 300.0 ¢
15-mosstep Minor 15-mosstep m15ms L + 14s 150.0 ¢ to 260.9 ¢
Major 15-mosstep M15ms 2L + 13s 260.9 ¢ to 300.0 ¢
16-mosstep Minor 16-mosstep m16ms L + 15s 150.0 ¢ to 278.3 ¢
Major 16-mosstep M16ms 2L + 14s 278.3 ¢ to 300.0 ¢
17-mosstep Minor 17-mosstep m17ms L + 16s 150.0 ¢ to 295.7 ¢
Major 17-mosstep M17ms 2L + 15s 295.7 ¢ to 300.0 ¢
18-mosstep Minor 18-mosstep m18ms 2L + 16s 300.0 ¢ to 313.0 ¢
Major 18-mosstep M18ms 3L + 15s 313.0 ¢ to 450.0 ¢
19-mosstep Minor 19-mosstep m19ms 2L + 17s 300.0 ¢ to 330.4 ¢
Major 19-mosstep M19ms 3L + 16s 330.4 ¢ to 450.0 ¢
20-mosstep Minor 20-mosstep m20ms 2L + 18s 300.0 ¢ to 347.8 ¢
Major 20-mosstep M20ms 3L + 17s 347.8 ¢ to 450.0 ¢
21-mosstep Minor 21-mosstep m21ms 2L + 19s 300.0 ¢ to 365.2 ¢
Major 21-mosstep M21ms 3L + 18s 365.2 ¢ to 450.0 ¢
22-mosstep Minor 22-mosstep m22ms 2L + 20s 300.0 ¢ to 382.6 ¢
Major 22-mosstep M22ms 3L + 19s 382.6 ¢ to 450.0 ¢
23-mosstep Minor 23-mosstep m23ms 2L + 21s 300.0 ¢ to 400.0 ¢
Major 23-mosstep M23ms 3L + 20s 400.0 ¢ to 450.0 ¢
24-mosstep Minor 24-mosstep m24ms 2L + 22s 300.0 ¢ to 417.4 ¢
Major 24-mosstep M24ms 3L + 21s 417.4 ¢ to 450.0 ¢
25-mosstep Minor 25-mosstep m25ms 2L + 23s 300.0 ¢ to 434.8 ¢
Major 25-mosstep M25ms 3L + 22s 434.8 ¢ to 450.0 ¢
26-mosstep Perfect 26-mosstep P26ms 3L + 23s 450.0 ¢ to 452.2 ¢
Augmented 26-mosstep A26ms 4L + 22s 452.2 ¢ to 600.0 ¢
27-mosstep Minor 27-mosstep m27ms 3L + 24s 450.0 ¢ to 469.6 ¢
Major 27-mosstep M27ms 4L + 23s 469.6 ¢ to 600.0 ¢
28-mosstep Minor 28-mosstep m28ms 3L + 25s 450.0 ¢ to 487.0 ¢
Major 28-mosstep M28ms 4L + 24s 487.0 ¢ to 600.0 ¢
29-mosstep Minor 29-mosstep m29ms 3L + 26s 450.0 ¢ to 504.3 ¢
Major 29-mosstep M29ms 4L + 25s 504.3 ¢ to 600.0 ¢
30-mosstep Minor 30-mosstep m30ms 3L + 27s 450.0 ¢ to 521.7 ¢
Major 30-mosstep M30ms 4L + 26s 521.7 ¢ to 600.0 ¢
31-mosstep Minor 31-mosstep m31ms 3L + 28s 450.0 ¢ to 539.1 ¢
Major 31-mosstep M31ms 4L + 27s 539.1 ¢ to 600.0 ¢
32-mosstep Minor 32-mosstep m32ms 3L + 29s 450.0 ¢ to 556.5 ¢
Major 32-mosstep M32ms 4L + 28s 556.5 ¢ to 600.0 ¢
33-mosstep Minor 33-mosstep m33ms 3L + 30s 450.0 ¢ to 573.9 ¢
Major 33-mosstep M33ms 4L + 29s 573.9 ¢ to 600.0 ¢
34-mosstep Minor 34-mosstep m34ms 3L + 31s 450.0 ¢ to 591.3 ¢
Major 34-mosstep M34ms 4L + 30s 591.3 ¢ to 600.0 ¢
35-mosstep Minor 35-mosstep m35ms 4L + 31s 600.0 ¢ to 608.7 ¢
Major 35-mosstep M35ms 5L + 30s 608.7 ¢ to 750.0 ¢
36-mosstep Minor 36-mosstep m36ms 4L + 32s 600.0 ¢ to 626.1 ¢
Major 36-mosstep M36ms 5L + 31s 626.1 ¢ to 750.0 ¢
37-mosstep Minor 37-mosstep m37ms 4L + 33s 600.0 ¢ to 643.5 ¢
Major 37-mosstep M37ms 5L + 32s 643.5 ¢ to 750.0 ¢
38-mosstep Minor 38-mosstep m38ms 4L + 34s 600.0 ¢ to 660.9 ¢
Major 38-mosstep M38ms 5L + 33s 660.9 ¢ to 750.0 ¢
39-mosstep Minor 39-mosstep m39ms 4L + 35s 600.0 ¢ to 678.3 ¢
Major 39-mosstep M39ms 5L + 34s 678.3 ¢ to 750.0 ¢
40-mosstep Minor 40-mosstep m40ms 4L + 36s 600.0 ¢ to 695.7 ¢
Major 40-mosstep M40ms 5L + 35s 695.7 ¢ to 750.0 ¢
41-mosstep Minor 41-mosstep m41ms 4L + 37s 600.0 ¢ to 713.0 ¢
Major 41-mosstep M41ms 5L + 36s 713.0 ¢ to 750.0 ¢
42-mosstep Minor 42-mosstep m42ms 4L + 38s 600.0 ¢ to 730.4 ¢
Major 42-mosstep M42ms 5L + 37s 730.4 ¢ to 750.0 ¢
43-mosstep Diminished 43-mosstep d43ms 4L + 39s 600.0 ¢ to 747.8 ¢
Perfect 43-mosstep P43ms 5L + 38s 747.8 ¢ to 750.0 ¢
44-mosstep Minor 44-mosstep m44ms 5L + 39s 750.0 ¢ to 765.2 ¢
Major 44-mosstep M44ms 6L + 38s 765.2 ¢ to 900.0 ¢
45-mosstep Minor 45-mosstep m45ms 5L + 40s 750.0 ¢ to 782.6 ¢
Major 45-mosstep M45ms 6L + 39s 782.6 ¢ to 900.0 ¢
46-mosstep Minor 46-mosstep m46ms 5L + 41s 750.0 ¢ to 800.0 ¢
Major 46-mosstep M46ms 6L + 40s 800.0 ¢ to 900.0 ¢
47-mosstep Minor 47-mosstep m47ms 5L + 42s 750.0 ¢ to 817.4 ¢
Major 47-mosstep M47ms 6L + 41s 817.4 ¢ to 900.0 ¢
48-mosstep Minor 48-mosstep m48ms 5L + 43s 750.0 ¢ to 834.8 ¢
Major 48-mosstep M48ms 6L + 42s 834.8 ¢ to 900.0 ¢
49-mosstep Minor 49-mosstep m49ms 5L + 44s 750.0 ¢ to 852.2 ¢
Major 49-mosstep M49ms 6L + 43s 852.2 ¢ to 900.0 ¢
50-mosstep Minor 50-mosstep m50ms 5L + 45s 750.0 ¢ to 869.6 ¢
Major 50-mosstep M50ms 6L + 44s 869.6 ¢ to 900.0 ¢
51-mosstep Minor 51-mosstep m51ms 5L + 46s 750.0 ¢ to 887.0 ¢
Major 51-mosstep M51ms 6L + 45s 887.0 ¢ to 900.0 ¢
52-mosstep Minor 52-mosstep m52ms 6L + 46s 900.0 ¢ to 904.3 ¢
Major 52-mosstep M52ms 7L + 45s 904.3 ¢ to 1050.0 ¢
53-mosstep Minor 53-mosstep m53ms 6L + 47s 900.0 ¢ to 921.7 ¢
Major 53-mosstep M53ms 7L + 46s 921.7 ¢ to 1050.0 ¢
54-mosstep Minor 54-mosstep m54ms 6L + 48s 900.0 ¢ to 939.1 ¢
Major 54-mosstep M54ms 7L + 47s 939.1 ¢ to 1050.0 ¢
55-mosstep Minor 55-mosstep m55ms 6L + 49s 900.0 ¢ to 956.5 ¢
Major 55-mosstep M55ms 7L + 48s 956.5 ¢ to 1050.0 ¢
56-mosstep Minor 56-mosstep m56ms 6L + 50s 900.0 ¢ to 973.9 ¢
Major 56-mosstep M56ms 7L + 49s 973.9 ¢ to 1050.0 ¢
57-mosstep Minor 57-mosstep m57ms 6L + 51s 900.0 ¢ to 991.3 ¢
Major 57-mosstep M57ms 7L + 50s 991.3 ¢ to 1050.0 ¢
58-mosstep Minor 58-mosstep m58ms 6L + 52s 900.0 ¢ to 1008.7 ¢
Major 58-mosstep M58ms 7L + 51s 1008.7 ¢ to 1050.0 ¢
59-mosstep Minor 59-mosstep m59ms 6L + 53s 900.0 ¢ to 1026.1 ¢
Major 59-mosstep M59ms 7L + 52s 1026.1 ¢ to 1050.0 ¢
60-mosstep Minor 60-mosstep m60ms 6L + 54s 900.0 ¢ to 1043.5 ¢
Major 60-mosstep M60ms 7L + 53s 1043.5 ¢ to 1050.0 ¢
61-mosstep Minor 61-mosstep m61ms 7L + 54s 1050.0 ¢ to 1060.9 ¢
Major 61-mosstep M61ms 8L + 53s 1060.9 ¢ to 1200.0 ¢
62-mosstep Minor 62-mosstep m62ms 7L + 55s 1050.0 ¢ to 1078.3 ¢
Major 62-mosstep M62ms 8L + 54s 1078.3 ¢ to 1200.0 ¢
63-mosstep Minor 63-mosstep m63ms 7L + 56s 1050.0 ¢ to 1095.7 ¢
Major 63-mosstep M63ms 8L + 55s 1095.7 ¢ to 1200.0 ¢
64-mosstep Minor 64-mosstep m64ms 7L + 57s 1050.0 ¢ to 1113.0 ¢
Major 64-mosstep M64ms 8L + 56s 1113.0 ¢ to 1200.0 ¢
65-mosstep Minor 65-mosstep m65ms 7L + 58s 1050.0 ¢ to 1130.4 ¢
Major 65-mosstep M65ms 8L + 57s 1130.4 ¢ to 1200.0 ¢
66-mosstep Minor 66-mosstep m66ms 7L + 59s 1050.0 ¢ to 1147.8 ¢
Major 66-mosstep M66ms 8L + 58s 1147.8 ¢ to 1200.0 ¢
67-mosstep Minor 67-mosstep m67ms 7L + 60s 1050.0 ¢ to 1165.2 ¢
Major 67-mosstep M67ms 8L + 59s 1165.2 ¢ to 1200.0 ¢
68-mosstep Minor 68-mosstep m68ms 7L + 61s 1050.0 ¢ to 1182.6 ¢
Major 68-mosstep M68ms 8L + 60s 1182.6 ¢ to 1200.0 ¢
69-mosstep Perfect 69-mosstep P69ms 8L + 61s 1200.0 ¢
Generator chain of 8L 61s
Bright gens Scale degree Abbrev.
76 Augmented 25-mosdegree A25md
75 Augmented 51-mosdegree A51md
74 Augmented 8-mosdegree A8md
73 Augmented 34-mosdegree A34md
72 Augmented 60-mosdegree A60md
71 Augmented 17-mosdegree A17md
70 Augmented 43-mosdegree A43md
69 Augmented 0-mosdegree A0md
68 Augmented 26-mosdegree A26md
67 Major 52-mosdegree M52md
66 Major 9-mosdegree M9md
65 Major 35-mosdegree M35md
64 Major 61-mosdegree M61md
63 Major 18-mosdegree M18md
62 Major 44-mosdegree M44md
61 Major 1-mosdegree M1md
60 Major 27-mosdegree M27md
59 Major 53-mosdegree M53md
58 Major 10-mosdegree M10md
57 Major 36-mosdegree M36md
56 Major 62-mosdegree M62md
55 Major 19-mosdegree M19md
54 Major 45-mosdegree M45md
53 Major 2-mosdegree M2md
52 Major 28-mosdegree M28md
51 Major 54-mosdegree M54md
50 Major 11-mosdegree M11md
49 Major 37-mosdegree M37md
48 Major 63-mosdegree M63md
47 Major 20-mosdegree M20md
46 Major 46-mosdegree M46md
45 Major 3-mosdegree M3md
44 Major 29-mosdegree M29md
43 Major 55-mosdegree M55md
42 Major 12-mosdegree M12md
41 Major 38-mosdegree M38md
40 Major 64-mosdegree M64md
39 Major 21-mosdegree M21md
38 Major 47-mosdegree M47md
37 Major 4-mosdegree M4md
36 Major 30-mosdegree M30md
35 Major 56-mosdegree M56md
34 Major 13-mosdegree M13md
33 Major 39-mosdegree M39md
32 Major 65-mosdegree M65md
31 Major 22-mosdegree M22md
30 Major 48-mosdegree M48md
29 Major 5-mosdegree M5md
28 Major 31-mosdegree M31md
27 Major 57-mosdegree M57md
26 Major 14-mosdegree M14md
25 Major 40-mosdegree M40md
24 Major 66-mosdegree M66md
23 Major 23-mosdegree M23md
22 Major 49-mosdegree M49md
21 Major 6-mosdegree M6md
20 Major 32-mosdegree M32md
19 Major 58-mosdegree M58md
18 Major 15-mosdegree M15md
17 Major 41-mosdegree M41md
16 Major 67-mosdegree M67md
15 Major 24-mosdegree M24md
14 Major 50-mosdegree M50md
13 Major 7-mosdegree M7md
12 Major 33-mosdegree M33md
11 Major 59-mosdegree M59md
10 Major 16-mosdegree M16md
9 Major 42-mosdegree M42md
8 Major 68-mosdegree M68md
7 Major 25-mosdegree M25md
6 Major 51-mosdegree M51md
5 Major 8-mosdegree M8md
4 Major 34-mosdegree M34md
3 Major 60-mosdegree M60md
2 Major 17-mosdegree M17md
1 Perfect 43-mosdegree P43md
0 Perfect 0-mosdegree
Perfect 69-mosdegree
P0md
P69md
−1 Perfect 26-mosdegree P26md
−2 Minor 52-mosdegree m52md
−3 Minor 9-mosdegree m9md
−4 Minor 35-mosdegree m35md
−5 Minor 61-mosdegree m61md
−6 Minor 18-mosdegree m18md
−7 Minor 44-mosdegree m44md
−8 Minor 1-mosdegree m1md
−9 Minor 27-mosdegree m27md
−10 Minor 53-mosdegree m53md
−11 Minor 10-mosdegree m10md
−12 Minor 36-mosdegree m36md
−13 Minor 62-mosdegree m62md
−14 Minor 19-mosdegree m19md
−15 Minor 45-mosdegree m45md
−16 Minor 2-mosdegree m2md
−17 Minor 28-mosdegree m28md
−18 Minor 54-mosdegree m54md
−19 Minor 11-mosdegree m11md
−20 Minor 37-mosdegree m37md
−21 Minor 63-mosdegree m63md
−22 Minor 20-mosdegree m20md
−23 Minor 46-mosdegree m46md
−24 Minor 3-mosdegree m3md
−25 Minor 29-mosdegree m29md
−26 Minor 55-mosdegree m55md
−27 Minor 12-mosdegree m12md
−28 Minor 38-mosdegree m38md
−29 Minor 64-mosdegree m64md
−30 Minor 21-mosdegree m21md
−31 Minor 47-mosdegree m47md
−32 Minor 4-mosdegree m4md
−33 Minor 30-mosdegree m30md
−34 Minor 56-mosdegree m56md
−35 Minor 13-mosdegree m13md
−36 Minor 39-mosdegree m39md
−37 Minor 65-mosdegree m65md
−38 Minor 22-mosdegree m22md
−39 Minor 48-mosdegree m48md
−40 Minor 5-mosdegree m5md
−41 Minor 31-mosdegree m31md
−42 Minor 57-mosdegree m57md
−43 Minor 14-mosdegree m14md
−44 Minor 40-mosdegree m40md
−45 Minor 66-mosdegree m66md
−46 Minor 23-mosdegree m23md
−47 Minor 49-mosdegree m49md
−48 Minor 6-mosdegree m6md
−49 Minor 32-mosdegree m32md
−50 Minor 58-mosdegree m58md
−51 Minor 15-mosdegree m15md
−52 Minor 41-mosdegree m41md
−53 Minor 67-mosdegree m67md
−54 Minor 24-mosdegree m24md
−55 Minor 50-mosdegree m50md
−56 Minor 7-mosdegree m7md
−57 Minor 33-mosdegree m33md
−58 Minor 59-mosdegree m59md
−59 Minor 16-mosdegree m16md
−60 Minor 42-mosdegree m42md
−61 Minor 68-mosdegree m68md
−62 Minor 25-mosdegree m25md
−63 Minor 51-mosdegree m51md
−64 Minor 8-mosdegree m8md
−65 Minor 34-mosdegree m34md
−66 Minor 60-mosdegree m60md
−67 Minor 17-mosdegree m17md
−68 Diminished 43-mosdegree d43md
−69 Diminished 69-mosdegree d69md
−70 Diminished 26-mosdegree d26md
−71 Diminished 52-mosdegree d52md
−72 Diminished 9-mosdegree d9md
−73 Diminished 35-mosdegree d35md
−74 Diminished 61-mosdegree d61md
−75 Diminished 18-mosdegree d18md
−76 Diminished 44-mosdegree d44md

Scale tree

Scale tree and tuning spectrum of 8L 61s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
43\69 747.826 452.174 1:1 1.000 Equalized 8L 61s
220\353 747.875 452.125 6:5 1.200
177\284 747.887 452.113 5:4 1.250
311\499 747.896 452.104 9:7 1.286
134\215 747.907 452.093 4:3 1.333 Supersoft 8L 61s
359\576 747.917 452.083 11:8 1.375
225\361 747.922 452.078 7:5 1.400
316\507 747.929 452.071 10:7 1.429
91\146 747.945 452.055 3:2 1.500 Soft 8L 61s
321\515 747.961 452.039 11:7 1.571
230\369 747.967 452.033 8:5 1.600
369\592 747.973 452.027 13:8 1.625
139\223 747.982 452.018 5:3 1.667 Semisoft 8L 61s
326\523 747.992 452.008 12:7 1.714
187\300 748.000 452.000 7:4 1.750
235\377 748.011 451.989 9:5 1.800
48\77 748.052 451.948 2:1 2.000 Basic 8L 61s
Scales with tunings softer than this are proper
197\316 748.101 451.899 9:4 2.250
149\239 748.117 451.883 7:3 2.333
250\401 748.130 451.870 12:5 2.400
101\162 748.148 451.852 5:2 2.500 Semihard 8L 61s
255\409 748.166 451.834 13:5 2.600
154\247 748.178 451.822 8:3 2.667
207\332 748.193 451.807 11:4 2.750
53\85 748.235 451.765 3:1 3.000 Hard 8L 61s
164\263 748.289 451.711 10:3 3.333
111\178 748.315 451.685 7:2 3.500
169\271 748.339 451.661 11:3 3.667
58\93 748.387 451.613 4:1 4.000 Superhard 8L 61s
121\194 748.454 451.546 9:2 4.500
63\101 748.515 451.485 5:1 5.000
68\109 748.624 451.376 6:1 6.000
5\8 750.000 450.000 1:0 → ∞ Collapsed 8L 61s