Lumatone mapping for 38edo: Difference between revisions

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[[38edo]] 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 [[19edo]] intervals. Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.
[[38edo]] 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 [[19edo]] intervals. Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.
{{Lumatone EDO mapping|n=38|start=10|xstep=4|ystep=5}}
{{Lumatone EDO mapping|n=38|start=10|xstep=4|ystep=5}}


Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales|neutral thirds mapping]].
Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales|neutral thirds mapping]].
{{Lumatone EDO mapping|n=38|start=31|xstep=5|ystep=1}}
{{Lumatone EDO mapping|n=38|start=31|xstep=5|ystep=1}}


Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.
Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.
{{Lumatone EDO mapping|n=38|start=35|xstep=7|ystep=-2}}
{{Lumatone EDO mapping|n=38|start=35|xstep=7|ystep=-2}}


{{Lumatone mapping navigation}}
{{Navbox Lumatone}}

Revision as of 16:55, 11 February 2025

38edo 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 19edo intervals. Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.

10
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35
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24


Instead, as slicing the perfect 5th in two results in an essentially perfect 11/9, it makes a lot of sense to use the neutral thirds mapping.

31
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37
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9
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0
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35
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0
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11


Or if you want greater range while still reaching a lot of good intervals in few steps the astrology mapping works well.

35
4
2
9
16
23
30
0
7
14
21
28
35
4
11
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19
26
33
2
9
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30
37
3
10
17
24
31
0
7
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28
35
4
11
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22
29
36
5
12
19
26
33
2
9
16
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30
37
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6
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20
27
34
3
10
17
24
31
0
7
14
21
28
35
4
11
18
25
11
18
25
32
1
8
15
22
29
36
5
12
19
26
33
2
9
16
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30
37
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13
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30
37
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27
34
3
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31
0
7
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35
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