1L 9s
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Scale structure
Step pattern
Lsssssssss
sssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
9\10 to 1\1 (1080.0¢ to 1200.0¢)
Dark
0\1 to 1\10 (0.0¢ to 120.0¢)
TAMNAMS information
Name
antisinatonic
Prefix
asina-
Abbrev.
asi
Related MOS scales
Parent
1L 8s
Sister
9L 1s
Daughters
10L 1s, 1L 10s
Neutralized
2L 8s
2-Flought
11L 9s, 1L 19s
Equal tunings
Equalized (L:s = 1:1)
9\10 (1080.0¢)
Supersoft (L:s = 4:3)
28\31 (1083.9¢)
Soft (L:s = 3:2)
19\21 (1085.7¢)
Semisoft (L:s = 5:3)
29\32 (1087.5¢)
Basic (L:s = 2:1)
10\11 (1090.9¢)
Semihard (L:s = 5:2)
21\23 (1095.7¢)
Hard (L:s = 3:1)
11\12 (1100.0¢)
Superhard (L:s = 4:1)
12\13 (1107.7¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
↑ 1L 8s | 2L 8s ↗ | |
1L 9s | 2L 9s → | |
↓ 1L 10s | 2L 10s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┐ │║││││││││││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
sssssssssL
1L 9s, named antisinatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 9 small steps, repeating every octave. Generators that produce this scale range from 1080¢ to 1200¢, or from 0¢ to 120¢.
This scale is the simplest MOS which may be used as a complete version [clarification needed ] of Miracle temperament, which is also its harmonic entropy minimum.
This scale is known as the Happy decatonic scale in Graham Breed's naming system.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
9|0 | 1 | Lsssssssss |
8|1 | 10 | sLssssssss |
7|2 | 9 | ssLsssssss |
6|3 | 8 | sssLssssss |
5|4 | 7 | ssssLsssss |
4|5 | 6 | sssssLssss |
3|6 | 5 | ssssssLsss |
2|7 | 4 | sssssssLss |
1|8 | 3 | ssssssssLs |
0|9 | 2 | sssssssssL |
Degrees
UDP | Cyclic order |
Step pattern |
Scale degree (asinadegree) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |||
9|0 | 1 | Lsssssssss | Perf. | Aug. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
8|1 | 10 | sLssssssss | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
7|2 | 9 | ssLsssssss | Perf. | Perf. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
6|3 | 8 | sssLssssss | Perf. | Perf. | Min. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
5|4 | 7 | ssssLsssss | Perf. | Perf. | Min. | Min. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
4|5 | 6 | sssssLssss | Perf. | Perf. | Min. | Min. | Min. | Min. | Maj. | Maj. | Maj. | Perf. | Perf. |
3|6 | 5 | ssssssLsss | Perf. | Perf. | Min. | Min. | Min. | Min. | Min. | Maj. | Maj. | Perf. | Perf. |
2|7 | 4 | sssssssLss | Perf. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Perf. | Perf. |
1|8 | 3 | ssssssssLs | Perf. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Perf. |
0|9 | 2 | sssssssssL | Perf. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Dim. | Perf. |
Intervals
Intervals | Steps subtended |
Range in cents | ||
---|---|---|---|---|
Generic | Specific | Abbrev. | ||
0-asinastep | Perfect 0-asinastep | P0asis | 0 | 0.0¢ |
1-asinastep | Perfect 1-asinastep | P1asis | s | 0.0¢ to 120.0¢ |
Augmented 1-asinastep | A1asis | L | 120.0¢ to 1200.0¢ | |
2-asinastep | Minor 2-asinastep | m2asis | 2s | 0.0¢ to 240.0¢ |
Major 2-asinastep | M2asis | L + s | 240.0¢ to 1200.0¢ | |
3-asinastep | Minor 3-asinastep | m3asis | 3s | 0.0¢ to 360.0¢ |
Major 3-asinastep | M3asis | L + 2s | 360.0¢ to 1200.0¢ | |
4-asinastep | Minor 4-asinastep | m4asis | 4s | 0.0¢ to 480.0¢ |
Major 4-asinastep | M4asis | L + 3s | 480.0¢ to 1200.0¢ | |
5-asinastep | Minor 5-asinastep | m5asis | 5s | 0.0¢ to 600.0¢ |
Major 5-asinastep | M5asis | L + 4s | 600.0¢ to 1200.0¢ | |
6-asinastep | Minor 6-asinastep | m6asis | 6s | 0.0¢ to 720.0¢ |
Major 6-asinastep | M6asis | L + 5s | 720.0¢ to 1200.0¢ | |
7-asinastep | Minor 7-asinastep | m7asis | 7s | 0.0¢ to 840.0¢ |
Major 7-asinastep | M7asis | L + 6s | 840.0¢ to 1200.0¢ | |
8-asinastep | Minor 8-asinastep | m8asis | 8s | 0.0¢ to 960.0¢ |
Major 8-asinastep | M8asis | L + 7s | 960.0¢ to 1200.0¢ | |
9-asinastep | Diminished 9-asinastep | d9asis | 9s | 0.0¢ to 1080.0¢ |
Perfect 9-asinastep | P9asis | L + 8s | 1080.0¢ to 1200.0¢ | |
10-asinastep | Perfect 10-asinastep | P10asis | L + 9s | 1200.0¢ |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
9\10 | 1080.000 | 120.000 | 1:1 | 1.000 | Equalized 1L 9s | |||||
46\51 | 1082.353 | 117.647 | 6:5 | 1.200 | ||||||
37\41 | 1082.927 | 117.073 | 5:4 | 1.250 | ||||||
65\72 | 1083.333 | 116.667 | 9:7 | 1.286 | Miracle | |||||
28\31 | 1083.871 | 116.129 | 4:3 | 1.333 | Supersoft 1L 9s | |||||
75\83 | 1084.337 | 115.663 | 11:8 | 1.375 | ||||||
47\52 | 1084.615 | 115.385 | 7:5 | 1.400 | ||||||
66\73 | 1084.932 | 115.068 | 10:7 | 1.429 | ||||||
19\21 | 1085.714 | 114.286 | 3:2 | 1.500 | Soft 1L 9s | |||||
67\74 | 1086.486 | 113.514 | 11:7 | 1.571 | ||||||
48\53 | 1086.792 | 113.208 | 8:5 | 1.600 | Misneb | |||||
77\85 | 1087.059 | 112.941 | 13:8 | 1.625 | ||||||
29\32 | 1087.500 | 112.500 | 5:3 | 1.667 | Semisoft 1L 9s | |||||
68\75 | 1088.000 | 112.000 | 12:7 | 1.714 | ||||||
39\43 | 1088.372 | 111.628 | 7:4 | 1.750 | ||||||
49\54 | 1088.889 | 111.111 | 9:5 | 1.800 | ||||||
10\11 | 1090.909 | 109.091 | 2:1 | 2.000 | Basic 1L 9s Scales with tunings softer than this are proper | |||||
41\45 | 1093.333 | 106.667 | 9:4 | 2.250 | ||||||
31\34 | 1094.118 | 105.882 | 7:3 | 2.333 | ||||||
52\57 | 1094.737 | 105.263 | 12:5 | 2.400 | ||||||
21\23 | 1095.652 | 104.348 | 5:2 | 2.500 | Semihard 1L 9s | |||||
53\58 | 1096.552 | 103.448 | 13:5 | 2.600 | Golden ripple (103.288¢) | |||||
32\35 | 1097.143 | 102.857 | 8:3 | 2.667 | ||||||
43\47 | 1097.872 | 102.128 | 11:4 | 2.750 | ||||||
11\12 | 1100.000 | 100.000 | 3:1 | 3.000 | Hard 1L 9s Ripple | |||||
34\37 | 1102.703 | 97.297 | 10:3 | 3.333 | Passion | |||||
23\25 | 1104.000 | 96.000 | 7:2 | 3.500 | ||||||
35\38 | 1105.263 | 94.737 | 11:3 | 3.667 | ||||||
12\13 | 1107.692 | 92.308 | 4:1 | 4.000 | Superhard 1L 9s | |||||
25\27 | 1111.111 | 88.889 | 9:2 | 4.500 | ||||||
13\14 | 1114.286 | 85.714 | 5:1 | 5.000 | ||||||
14\15 | 1120.000 | 80.000 | 6:1 | 6.000 | Nautilus, nuke, ↓valentine | |||||
1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 9s |