Lumatone mapping for 53edo: Difference between revisions

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The expanded [[4L 7s]] mapping covers the entire gamut, but puts octaves all over the place.
The expanded [[4L 7s]] mapping does cover the entire gamut, but puts octaves all over the place.
{{Lumatone EDO mapping|n=53|start=6|xstep=8|ystep=-5}}
{{Lumatone EDO mapping|n=53|start=6|xstep=8|ystep=-5}}


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{{Lumatone EDO mapping|n=53|start=8|xstep=10|ystep=-9}}
{{Lumatone EDO mapping|n=53|start=8|xstep=10|ystep=-9}}


== Orwell ==
== Other mappings ==
The [[Lumatone mapping for orwell]] gives over six octaves of range, but the [[4L 1s]] mapping skips many notes along the way.
As with the Hanson mappings, the [[Lumatone mapping for orwell|Orwell]] and [[Barbados]] mappings both give over six octaves of range, but the compressed [[1L 4s]] mappings that allow this much range do not cover the full gamut unless Orwell is expanded to [[4L 5s]] and Barbados to [[5L 4s]], which skews the octaves significantly downwards and reduces the range to just over four octaves.
 
=== Orwell ===
==== Compressed ====
{{Lumatone EDO mapping|n=53|start=6|xstep=12|ystep=-7}}
{{Lumatone EDO mapping|n=53|start=6|xstep=12|ystep=-7}}


 
==== Expanded ====
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.
{{Lumatone EDO mapping|n=53|start=44|xstep=5|ystep=2}}
{{Lumatone EDO mapping|n=53|start=44|xstep=5|ystep=2}}


== Semiquartal ==
=== Semiquartal ===
The [[5L 4s|semiquartal mapping]] also gives over six octaves of range, but the [[1L 4s]] mapping also misses many notes.
==== Compressed ====
{{Lumatone EDO mapping|n=53|start=32|xstep=11|ystep=-2}}
{{Lumatone EDO mapping|n=53|start=32|xstep=11|ystep=-2}}


 
==== Expanded ====
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.
{{Lumatone EDO mapping|n=53|start=5|xstep=9|ystep=-7}}
{{Lumatone EDO mapping|n=53|start=5|xstep=9|ystep=-7}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}

Revision as of 19:55, 17 May 2025

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

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0
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46
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0
10
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30
40
50
7
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37
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37
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34
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1
11
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31
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38
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35
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22
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29
39
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33
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0
10
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30
40
50
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37
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14
40
50
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37
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44
1
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31
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45
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5
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35
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2
12
22
32
42
52
9
19
29
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49
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39
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0
10
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30
40
50
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1
11
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31
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38
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15
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35
45
2
12
22
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52
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29
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36
46
3
13
23
33
43
0
10
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30
37
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34
44
1
11
21
31
5
15
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35
45
2
12
22
36
46
3
13
23
4
14

Other mappings

As with the Hanson mappings, the Orwell and Barbados mappings both give over six octaves of range, but the compressed 1L 4s mappings that allow this much range do not cover the full gamut unless Orwell is expanded to 4L 5s and Barbados to 5L 4s, which skews the octaves significantly downwards and reduces the range to just over four octaves.

Orwell

Compressed

6
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11
23
35
47
6
4
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40
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11
23
35
9
21
33
45
4
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40
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11
23
2
14
26
38
50
9
21
33
45
4
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7
19
31
43
2
14
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38
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21
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45
4
16
28
40
0
12
24
36
48
7
19
31
43
2
14
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38
50
9
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45
4
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5
17
29
41
0
12
24
36
48
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19
31
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2
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38
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21
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45
4
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22
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17
29
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0
12
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36
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31
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0
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21
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34
46
5
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29
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0
12
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36
48
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31
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34
46
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29
41
0
12
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48
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31
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3
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0
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1
13
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20
30
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1
13
25
6
18

Expanded

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

Compressed

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
26
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
26
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
29
40
51
9
20
31
45
3
14
25
36
47
5
16
27
38
49
7
18
29
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

Expanded

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


View • Talk • EditLumatone mappings 
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Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_53edo&oldid=196376"