Lumatone mapping for 34edo: Difference between revisions

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34edo is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] cannot be used.
34edo is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[17edo]] intervals unless you use the b val instead, which generates [[mabila]].
{{Lumatone EDO mapping|n=34|start=14|xstep=4|ystep=3}}


A [[5L 3s]]-based mapping for [[34edo]]:
However, this puts the perfect 5th in awkward places. The [[Tetracot]] mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect 5th is in a straight line from the root, while single steps are neatly mapped to the vertical axis.
{{Lumatone EDO mapping|n=34|start=-2|xstep=5|ystep=-2}}
{{Lumatone EDO mapping|n=34|start=25|xstep=5|ystep=-1}}


A [[6L 1s]]-based mapping:
Or if you want greater range you can slice the perfect 4th in two and use the [[immunity]] mapping.
{{Lumatone EDO mapping|n=34|start=16|xstep=5|ystep=-1}}
{{Lumatone EDO mapping|n=34|start=19|xstep=7|ystep=-1}}


[[Category:Lumatone mappings]]
[[Category:Lumatone mappings]] [[Category:34edo]]

Revision as of 08:19, 25 April 2023

34edo is an interesting case for Lumatone mappings, since (like 24edo), it is not generated by fifths and octaves, so the Standard Lumatone mapping for Pythagorean only reaches 17edo intervals unless you use the b val instead, which generates mabila.

14
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25
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33
3
24
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31
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0
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0
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5
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28
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30
0
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31
1
5
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31
1
5
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30
0
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31
1
5
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3
7
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15
19
23
27
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16
20
24
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32
2
6
10
14
18
22
26
30
31
1
5
9
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17
21
25
29
33
3
12
16
20
24
28
32
2
6
31
1
5
9
13
12
16

However, this puts the perfect 5th in awkward places. The Tetracot mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect 5th is in a straight line from the root, while single steps are neatly mapped to the vertical axis.

25
30
29
0
5
10
15
28
33
4
9
14
19
24
29
32
3
8
13
18
23
28
33
4
9
14
31
2
7
12
17
22
27
32
3
8
13
18
23
28
1
6
11
16
21
26
31
2
7
12
17
22
27
32
3
8
13
0
5
10
15
20
25
30
1
6
11
16
21
26
31
2
7
12
17
22
27
4
9
14
19
24
29
0
5
10
15
20
25
30
1
6
11
16
21
26
31
2
7
12
3
8
13
18
23
28
33
4
9
14
19
24
29
0
5
10
15
20
25
30
1
6
11
16
21
26
12
17
22
27
32
3
8
13
18
23
28
33
4
9
14
19
24
29
0
5
10
15
20
25
30
1
6
11
26
31
2
7
12
17
22
27
32
3
8
13
18
23
28
33
4
9
14
19
24
29
0
5
10
15
11
16
21
26
31
2
7
12
17
22
27
32
3
8
13
18
23
28
33
4
9
14
19
25
30
1
6
11
16
21
26
31
2
7
12
17
22
27
32
3
8
13
18
10
15
20
25
30
1
6
11
16
21
26
31
2
7
12
17
22
24
29
0
5
10
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20
25
30
1
6
11
16
21
9
14
19
24
29
0
5
10
15
20
25
23
28
33
4
9
14
19
24
8
13
18
23
28
22
27

Or if you want greater range you can slice the perfect 4th in two and use the immunity mapping.

19
26
25
32
5
12
19
24
31
4
11
18
25
32
5
30
3
10
17
24
31
4
11
18
25
32
29
2
9
16
23
30
3
10
17
24
31
4
11
18
1
8
15
22
29
2
9
16
23
30
3
10
17
24
31
4
11
0
7
14
21
28
1
8
15
22
29
2
9
16
23
30
3
10
17
24
31
6
13
20
27
0
7
14
21
28
1
8
15
22
29
2
9
16
23
30
3
10
17
24
5
12
19
26
33
6
13
20
27
0
7
14
21
28
1
8
15
22
29
2
9
16
23
30
3
10
18
25
32
5
12
19
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33
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20
27
0
7
14
21
28
1
8
15
22
29
2
9
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30
3
4
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18
25
32
5
12
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26
33
6
13
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27
0
7
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21
28
1
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29
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9
31
4
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25
32
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33
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27
0
7
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28
1
8
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31
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32
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33
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27
0
7
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24
31
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11
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32
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33
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30
3
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29
Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_34edo&oldid=109151"