17L 7s
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Step pattern
LLLsLLsLLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLLsLLsLLL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
7\24 to 5\17 (350.0 ¢ to 352.9 ¢)
Dark
12\17 to 17\24 (847.1 ¢ to 850.0 ¢)
Descends from
7L 3s (dicoid)
Ancestor's step ratio range
2:1 to 3:1 (hypohard)
Parent
7L 10s
Sister
7L 17s
Daughters
24L 17s, 17L 24s
Neutralized
10L 14s
2-Flought
41L 7s, 17L 31s
Equalized (L:s = 1:1)
7\24 (350.0 ¢)
Supersoft (L:s = 4:3)
26\89 (350.6 ¢)
Soft (L:s = 3:2)
19\65 (350.8 ¢)
Semisoft (L:s = 5:3)
31\106 (350.9 ¢)
Basic (L:s = 2:1)
12\41 (351.2 ¢)
Semihard (L:s = 5:2)
29\99 (351.5 ¢)
Hard (L:s = 3:1)
17\58 (351.7 ¢)
Superhard (L:s = 4:1)
22\75 (352.0 ¢)
Collapsed (L:s = 1:0)
5\17 (352.9 ¢)
↖ 16L 6s | ↑ 17L 6s | 18L 6s ↗ |
← 16L 7s | 17L 7s | 18L 7s → |
↙ 16L 8s | ↓ 17L 8s | 18L 8s ↘ |
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║║│║║│║║║│║║│║║││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLsLLsLLLsLLsLLLsLLsLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
17L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 7 small steps, repeating every octave. 17L 7s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 350 ¢ to 352.9 ¢, or from 847.1 ¢ to 850 ¢.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
Intervals
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 50.0 ¢ |
Major 1-mosstep | M1ms | L | 50.0 ¢ to 70.6 ¢ | |
2-mosstep | Minor 2-mosstep | m2ms | L + s | 70.6 ¢ to 100.0 ¢ |
Major 2-mosstep | M2ms | 2L | 100.0 ¢ to 141.2 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 141.2 ¢ to 150.0 ¢ |
Major 3-mosstep | M3ms | 3L | 150.0 ¢ to 211.8 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 141.2 ¢ to 200.0 ¢ |
Major 4-mosstep | M4ms | 3L + s | 200.0 ¢ to 211.8 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 211.8 ¢ to 250.0 ¢ |
Major 5-mosstep | M5ms | 4L + s | 250.0 ¢ to 282.4 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 282.4 ¢ to 300.0 ¢ |
Major 6-mosstep | M6ms | 5L + s | 300.0 ¢ to 352.9 ¢ | |
7-mosstep | Diminished 7-mosstep | d7ms | 4L + 3s | 282.4 ¢ to 350.0 ¢ |
Perfect 7-mosstep | P7ms | 5L + 2s | 350.0 ¢ to 352.9 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 5L + 3s | 352.9 ¢ to 400.0 ¢ |
Major 8-mosstep | M8ms | 6L + 2s | 400.0 ¢ to 423.5 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 6L + 3s | 423.5 ¢ to 450.0 ¢ |
Major 9-mosstep | M9ms | 7L + 2s | 450.0 ¢ to 494.1 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 494.1 ¢ to 500.0 ¢ |
Major 10-mosstep | M10ms | 8L + 2s | 500.0 ¢ to 564.7 ¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 7L + 4s | 494.1 ¢ to 550.0 ¢ |
Major 11-mosstep | M11ms | 8L + 3s | 550.0 ¢ to 564.7 ¢ | |
12-mosstep | Minor 12-mosstep | m12ms | 8L + 4s | 564.7 ¢ to 600.0 ¢ |
Major 12-mosstep | M12ms | 9L + 3s | 600.0 ¢ to 635.3 ¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 9L + 4s | 635.3 ¢ to 650.0 ¢ |
Major 13-mosstep | M13ms | 10L + 3s | 650.0 ¢ to 705.9 ¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 9L + 5s | 635.3 ¢ to 700.0 ¢ |
Major 14-mosstep | M14ms | 10L + 4s | 700.0 ¢ to 705.9 ¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 10L + 5s | 705.9 ¢ to 750.0 ¢ |
Major 15-mosstep | M15ms | 11L + 4s | 750.0 ¢ to 776.5 ¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 11L + 5s | 776.5 ¢ to 800.0 ¢ |
Major 16-mosstep | M16ms | 12L + 4s | 800.0 ¢ to 847.1 ¢ | |
17-mosstep | Perfect 17-mosstep | P17ms | 12L + 5s | 847.1 ¢ to 850.0 ¢ |
Augmented 17-mosstep | A17ms | 13L + 4s | 850.0 ¢ to 917.6 ¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 12L + 6s | 847.1 ¢ to 900.0 ¢ |
Major 18-mosstep | M18ms | 13L + 5s | 900.0 ¢ to 917.6 ¢ | |
19-mosstep | Minor 19-mosstep | m19ms | 13L + 6s | 917.6 ¢ to 950.0 ¢ |
Major 19-mosstep | M19ms | 14L + 5s | 950.0 ¢ to 988.2 ¢ | |
20-mosstep | Minor 20-mosstep | m20ms | 14L + 6s | 988.2 ¢ to 1000.0 ¢ |
Major 20-mosstep | M20ms | 15L + 5s | 1000.0 ¢ to 1058.8 ¢ | |
21-mosstep | Minor 21-mosstep | m21ms | 14L + 7s | 988.2 ¢ to 1050.0 ¢ |
Major 21-mosstep | M21ms | 15L + 6s | 1050.0 ¢ to 1058.8 ¢ | |
22-mosstep | Minor 22-mosstep | m22ms | 15L + 7s | 1058.8 ¢ to 1100.0 ¢ |
Major 22-mosstep | M22ms | 16L + 6s | 1100.0 ¢ to 1129.4 ¢ | |
23-mosstep | Minor 23-mosstep | m23ms | 16L + 7s | 1129.4 ¢ to 1150.0 ¢ |
Major 23-mosstep | M23ms | 17L + 6s | 1150.0 ¢ to 1200.0 ¢ | |
24-mosstep | Perfect 24-mosstep | P24ms | 17L + 7s | 1200.0 ¢ |
Generator chain
Bright gens | Scale degree | Abbrev. |
---|---|---|
40 | Augmented 16-mosdegree | A16md |
39 | Augmented 9-mosdegree | A9md |
38 | Augmented 2-mosdegree | A2md |
37 | Augmented 19-mosdegree | A19md |
36 | Augmented 12-mosdegree | A12md |
35 | Augmented 5-mosdegree | A5md |
34 | Augmented 22-mosdegree | A22md |
33 | Augmented 15-mosdegree | A15md |
32 | Augmented 8-mosdegree | A8md |
31 | Augmented 1-mosdegree | A1md |
30 | Augmented 18-mosdegree | A18md |
29 | Augmented 11-mosdegree | A11md |
28 | Augmented 4-mosdegree | A4md |
27 | Augmented 21-mosdegree | A21md |
26 | Augmented 14-mosdegree | A14md |
25 | Augmented 7-mosdegree | A7md |
24 | Augmented 0-mosdegree | A0md |
23 | Augmented 17-mosdegree | A17md |
22 | Major 10-mosdegree | M10md |
21 | Major 3-mosdegree | M3md |
20 | Major 20-mosdegree | M20md |
19 | Major 13-mosdegree | M13md |
18 | Major 6-mosdegree | M6md |
17 | Major 23-mosdegree | M23md |
16 | Major 16-mosdegree | M16md |
15 | Major 9-mosdegree | M9md |
14 | Major 2-mosdegree | M2md |
13 | Major 19-mosdegree | M19md |
12 | Major 12-mosdegree | M12md |
11 | Major 5-mosdegree | M5md |
10 | Major 22-mosdegree | M22md |
9 | Major 15-mosdegree | M15md |
8 | Major 8-mosdegree | M8md |
7 | Major 1-mosdegree | M1md |
6 | Major 18-mosdegree | M18md |
5 | Major 11-mosdegree | M11md |
4 | Major 4-mosdegree | M4md |
3 | Major 21-mosdegree | M21md |
2 | Major 14-mosdegree | M14md |
1 | Perfect 7-mosdegree | P7md |
0 | Perfect 0-mosdegree Perfect 24-mosdegree |
P0md P24md |
−1 | Perfect 17-mosdegree | P17md |
−2 | Minor 10-mosdegree | m10md |
−3 | Minor 3-mosdegree | m3md |
−4 | Minor 20-mosdegree | m20md |
−5 | Minor 13-mosdegree | m13md |
−6 | Minor 6-mosdegree | m6md |
−7 | Minor 23-mosdegree | m23md |
−8 | Minor 16-mosdegree | m16md |
−9 | Minor 9-mosdegree | m9md |
−10 | Minor 2-mosdegree | m2md |
−11 | Minor 19-mosdegree | m19md |
−12 | Minor 12-mosdegree | m12md |
−13 | Minor 5-mosdegree | m5md |
−14 | Minor 22-mosdegree | m22md |
−15 | Minor 15-mosdegree | m15md |
−16 | Minor 8-mosdegree | m8md |
−17 | Minor 1-mosdegree | m1md |
−18 | Minor 18-mosdegree | m18md |
−19 | Minor 11-mosdegree | m11md |
−20 | Minor 4-mosdegree | m4md |
−21 | Minor 21-mosdegree | m21md |
−22 | Minor 14-mosdegree | m14md |
−23 | Diminished 7-mosdegree | d7md |
−24 | Diminished 24-mosdegree | d24md |
−25 | Diminished 17-mosdegree | d17md |
−26 | Diminished 10-mosdegree | d10md |
−27 | Diminished 3-mosdegree | d3md |
−28 | Diminished 20-mosdegree | d20md |
−29 | Diminished 13-mosdegree | d13md |
−30 | Diminished 6-mosdegree | d6md |
−31 | Diminished 23-mosdegree | d23md |
−32 | Diminished 16-mosdegree | d16md |
−33 | Diminished 9-mosdegree | d9md |
−34 | Diminished 2-mosdegree | d2md |
−35 | Diminished 19-mosdegree | d19md |
−36 | Diminished 12-mosdegree | d12md |
−37 | Diminished 5-mosdegree | d5md |
−38 | Diminished 22-mosdegree | d22md |
−39 | Diminished 15-mosdegree | d15md |
−40 | Diminished 8-mosdegree | d8md |
Modes
UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | ||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |||
23|0 | 1 | LLLsLLsLLLsLLsLLLsLLsLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
22|1 | 8 | LLLsLLsLLLsLLsLLsLLLsLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
21|2 | 15 | LLLsLLsLLsLLLsLLsLLLsLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
20|3 | 22 | LLsLLLsLLsLLLsLLsLLLsLLs | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
19|4 | 5 | LLsLLLsLLsLLLsLLsLLsLLLs | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
18|5 | 12 | LLsLLLsLLsLLsLLLsLLsLLLs | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
17|6 | 19 | LLsLLsLLLsLLsLLLsLLsLLLs | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
16|7 | 2 | LLsLLsLLLsLLsLLLsLLsLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. |
15|8 | 9 | LLsLLsLLLsLLsLLsLLLsLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. |
14|9 | 16 | LLsLLsLLsLLLsLLsLLLsLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. |
13|10 | 23 | LsLLLsLLsLLLsLLsLLLsLLsL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. |
12|11 | 6 | LsLLLsLLsLLLsLLsLLsLLLsL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
11|12 | 13 | LsLLLsLLsLLsLLLsLLsLLLsL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
10|13 | 20 | LsLLsLLLsLLsLLLsLLsLLLsL | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
9|14 | 3 | LsLLsLLLsLLsLLLsLLsLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. |
8|15 | 10 | LsLLsLLLsLLsLLsLLLsLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. |
7|16 | 17 | LsLLsLLsLLLsLLsLLLsLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. |
6|17 | 24 | sLLLsLLsLLLsLLsLLLsLLsLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. |
5|18 | 7 | sLLLsLLsLLLsLLsLLsLLLsLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
4|19 | 14 | sLLLsLLsLLsLLLsLLsLLLsLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
3|20 | 21 | sLLsLLLsLLsLLLsLLsLLLsLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
2|21 | 4 | sLLsLLLsLLsLLLsLLsLLsLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
1|22 | 11 | sLLsLLLsLLsLLsLLLsLLsLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
0|23 | 18 | sLLsLLsLLLsLLsLLLsLLsLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Dim. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
7\24 | 350.000 | 850.000 | 1:1 | 1.000 | Equalized 17L 7s | |||||
40\137 | 350.365 | 849.635 | 6:5 | 1.200 | ||||||
33\113 | 350.442 | 849.558 | 5:4 | 1.250 | ||||||
59\202 | 350.495 | 849.505 | 9:7 | 1.286 | ||||||
26\89 | 350.562 | 849.438 | 4:3 | 1.333 | Supersoft 17L 7s | |||||
71\243 | 350.617 | 849.383 | 11:8 | 1.375 | ||||||
45\154 | 350.649 | 849.351 | 7:5 | 1.400 | ||||||
64\219 | 350.685 | 849.315 | 10:7 | 1.429 | ||||||
19\65 | 350.769 | 849.231 | 3:2 | 1.500 | Soft 17L 7s | |||||
69\236 | 350.847 | 849.153 | 11:7 | 1.571 | ||||||
50\171 | 350.877 | 849.123 | 8:5 | 1.600 | ||||||
81\277 | 350.903 | 849.097 | 13:8 | 1.625 | ||||||
31\106 | 350.943 | 849.057 | 5:3 | 1.667 | Semisoft 17L 7s | |||||
74\253 | 350.988 | 849.012 | 12:7 | 1.714 | ||||||
43\147 | 351.020 | 848.980 | 7:4 | 1.750 | ||||||
55\188 | 351.064 | 848.936 | 9:5 | 1.800 | ||||||
12\41 | 351.220 | 848.780 | 2:1 | 2.000 | Basic 17L 7s Scales with tunings softer than this are proper | |||||
53\181 | 351.381 | 848.619 | 9:4 | 2.250 | ||||||
41\140 | 351.429 | 848.571 | 7:3 | 2.333 | ||||||
70\239 | 351.464 | 848.536 | 12:5 | 2.400 | ||||||
29\99 | 351.515 | 848.485 | 5:2 | 2.500 | Semihard 17L 7s | |||||
75\256 | 351.562 | 848.438 | 13:5 | 2.600 | ||||||
46\157 | 351.592 | 848.408 | 8:3 | 2.667 | ||||||
63\215 | 351.628 | 848.372 | 11:4 | 2.750 | ||||||
17\58 | 351.724 | 848.276 | 3:1 | 3.000 | Hard 17L 7s | |||||
56\191 | 351.832 | 848.168 | 10:3 | 3.333 | ||||||
39\133 | 351.880 | 848.120 | 7:2 | 3.500 | ||||||
61\208 | 351.923 | 848.077 | 11:3 | 3.667 | ||||||
22\75 | 352.000 | 848.000 | 4:1 | 4.000 | Superhard 17L 7s | |||||
49\167 | 352.096 | 847.904 | 9:2 | 4.500 | ||||||
27\92 | 352.174 | 847.826 | 5:1 | 5.000 | ||||||
32\109 | 352.294 | 847.706 | 6:1 | 6.000 | ||||||
5\17 | 352.941 | 847.059 | 1:0 | → ∞ | Collapsed 17L 7s |
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