Lumatone mapping for 53edo

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There are many conceivable ways to map 53edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21.

2
11
6
15
24
33
42
1
10
19
28
37
46
2
11
5
14
23
32
41
50
6
15
24
33
42
0
9
18
27
36
45
1
10
19
28
37
46
2
11
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
2
11
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
51
7
16
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34
43
52
8
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35
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0
9
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45
1
10
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37
46
2
11
11
20
29
38
47
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12
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30
39
48
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13
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31
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49
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14
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50
6
15
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33
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33
42
51
7
16
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34
43
52
8
17
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35
44
0
9
18
27
36
45
1
10
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28
37
46
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20
29
38
47
3
12
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30
39
48
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13
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40
49
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14
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32
41
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33
42
51
7
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25
34
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8
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44
0
9
18
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36
45
11
20
29
38
47
3
12
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30
39
48
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13
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33
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7
16
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34
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8
17
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35
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11
20
29
38
47
3
12
21
30
39
48
33
42
51
7
16
25
34
43
11
20
29
38
47
33
42

Hanson

Since 53edo is a schismatic tuning, the best approximation to 5/4 is the diminished fourth. The Hanson mapping makes playing familiar 5-limit chords easier, but the 4L 3s mapping does not quite span the full gamut.

5
16
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30
41
52
0
11
22
33
44
2
13
24
3
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47
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49
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48
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51
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31
42
0
11
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44
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13
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35
46
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43
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34
45
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47
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15
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37
48
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17
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39
50
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32
43
1
12
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38
49
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40
51
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20
31
42
0
11
22
33
44
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13
24
35
46
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15
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37
48
52
10
21
32
43
1
12
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34
45
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14
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36
47
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38
49
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40
51
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31
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35
46
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37
48
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50
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32
43
1
12
23
34
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18
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40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
32
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
40
51
9
20
31
42
0
11
22
33
44
2
13
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23
34
45
3
14
25
36
47
5
16
27
48
6
17
28
39
50
8
19
31
42
0
11
22
3
14


The expanded 4L 7s mapping covers the entire gamut, but puts octaves all over the place.

6
14
9
17
25
33
41
4
12
20
28
36
44
52
7
7
15
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31
39
47
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10
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26
34
2
10
18
26
34
42
50
5
13
21
29
37
45
0
5
13
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29
37
45
0
8
16
24
32
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48
3
11
19
27
0
8
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48
3
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51
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38
46
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49
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1
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2
10
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45
0
8
16
2
10
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34
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50
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13
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29
37
45
0
8
16
24
32
40
48
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11
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29
37
45
0
8
16
24
32
40
48
3
11
19
27
35
43
51
6
14
48
3
11
19
27
35
43
51
6
14
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30
38
46
1
9
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30
38
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1
9
17
25
33
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49
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12
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49
4
12
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28
36
44
52
7
15
7
15
23
31
39
47
2
10
34
42
50
5
13
0
8

Buzzard

For easy access to single step movements and both the third and seventh harmonics, the buzzard mapping is quite effective.

8
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9
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1
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46
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13
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0
10
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50
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37
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11
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48
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0
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1
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31
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2
12
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32
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9
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16
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39
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3
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0
10
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30
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7
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1
11
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31
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8
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38
48
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15
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35
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2
12
22
32
42
52
9
19
29
39
6
16
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36
46
3
13
23
33
43
0
10
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30
37
47
4
14
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34
44
1
11
21
31
5
15
25
35
45
2
12
22
36
46
3
13
23
4
14

Orwell

The Lumatone mapping for orwell gives over six octaves of range, but the 4L 1s mapping skips many notes along the way.

6
18
11
23
35
47
6
4
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52
11
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35
9
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33
45
4
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11
23
2
14
26
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21
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45
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16
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7
19
31
43
2
14
26
38
50
9
21
33
45
4
16
28
40
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
33
45
4
16
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
33
45
4
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
33
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
44
3
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
32
44
3
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
8
20
32
44
3
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
49
8
20
32
44
3
15
27
39
51
10
22
34
46
5
17
29
25
37
49
8
20
32
44
3
15
27
39
51
10
22
13
25
37
49
8
20
32
44
3
15
27
42
1
13
25
37
49
8
20
30
42
1
13
25
6
18


The expanded 4L 5s mapping does cover the full gamut, but each successive octave is located significantly lower than the previous one, and the range is reduced to just over four octaves.

44
49
51
3
8
13
18
0
5
10
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25
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35
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1
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51
3
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43
48
0
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2
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2
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27
32
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47
52
4
9
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4
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1
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1
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11
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21
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31
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41
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51
3
8
13
18
23
28
33
38
43
48
0
5
10
15
3
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38
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48
0
5
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25
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50
2
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50
2
7
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52
4
9
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29
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52
4
9
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39
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49
1
6
11
16
21
26
31
11
16
21
26
31
36
41
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51
3
8
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28
33
38
28
33
38
43
48
0
5
10
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35
40
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2
7
12
17
22
27
32
37
42
47
14
19
24
29
34
39
44
49
36
41
46
51
3
0
5

Semiquartal

The semiquartal mapping also gives over six octaves of range, but the 1L 4s mapping also misses many notes.

32
43
41
52
10
21
32
39
50
8
19
30
41
52
10
48
6
17
28
39
50
8
19
30
41
52
46
4
15
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37
48
6
17
28
39
50
8
19
30
2
13
24
35
46
4
15
26
37
48
6
17
28
39
50
8
19
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
17
28
39
50
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
17
28
39
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
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37
48
6
17
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
5
16
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
47
5
16
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
25
36
47
5
16
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
14
25
36
47
5
16
27
38
49
7
18
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40
51
9
20
31
45
3
14
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47
5
16
27
38
49
7
18
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34
45
3
14
25
36
47
5
16
27
38
12
23
34
45
3
14
25
36
1
12
23
34
45
32
43


The expanded 5L 4s mapping does cover the full gamut, but as with the Orwell and Hanson mappings octaves are all over the place and the range is reduced.

5
14
7
16
25
34
43
0
9
18
27
36
45
1
10
2
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
6
50
6
15
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33
42
51
7
16
25
34
43
52
8
17
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35
43
52
8
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44
0
9
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36
45
1
10
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37
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2
45
1
10
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37
46
2
11
20
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38
47
3
12
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30
39
48
4
13
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31
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48
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0
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1
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2
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1
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2
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3
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4
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31
40
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5
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51
7
16
0
9


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