Lumatone mapping for 15edo: Difference between revisions

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{{Lumatone mapping intro}}
{{Lumatone mapping intro}} Ways to organise its intervals that make it easy to find consonant chords, in order of increasing compression are:


== [[Porcupine]] ==
== [[Porcupine]] ==
{{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=-1}}
{{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=1}}


== [[Blackwood]] ==
== [[Blackwood]] ==

Revision as of 12:23, 26 March 2025

There are many conceivable ways to map 15edo onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Ways to organise its intervals that make it easy to find consonant chords, in order of increasing compression are:

Porcupine

0
2
3
5
7
9
11
4
6
8
10
12
14
1
3
7
9
11
13
0
2
4
6
8
10
12
8
10
12
14
1
3
5
7
9
11
13
0
2
4
11
13
0
2
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10
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14
1
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14
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3
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13
0
2
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8
10
12
14
1
3
5
0
2
4
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14
1
3
5
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9
11
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0
2
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14
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11
13
0
2
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14
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3
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7
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11
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2
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6
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14
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3
5
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9
11
13
0
2
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14
1
3
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9
11
13
0
13
0
2
4
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8
10
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14
1
3
5
7
9
11
13
0
2
4
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14
1
3
7
9
11
13
0
2
4
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12
14
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3
5
7
9
11
13
0
2
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6
14
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3
5
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9
11
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0
2
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14
1
3
5
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8
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1
3
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0
2
4
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8
10
0
2
4
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14
1
3
5
7
9
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9
11
13
0
2
4
6
8
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14
1
3
5
7
9
11
13
0
10
12
14
1
3
2
4

Blackwood

13
1
0
3
6
9
12
14
2
5
8
11
14
2
5
1
4
7
10
13
1
4
7
10
13
1
0
3
6
9
12
0
3
6
9
12
0
3
6
9
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
1
4
7
10
13
1
4
7
10
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1
4
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10
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1
4
7
10
13
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
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1
4
7
10
13
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
4
7
10
13
1
4
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10
13
1
4
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10
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1
4
7
10
13
1
0
3
6
9
12
0
3
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9
12
0
3
6
9
12
0
3
8
11
14
2
5
8
11
14
2
5
8
11
14
2
4
7
10
13
1
4
7
10
13
1
4
12
0
3
6
9
12
0
3
8
11
14
2
5
1
4

Hanson

9
13
12
1
5
9
13
11
0
4
8
12
1
5
9
14
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
2
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10
14
3
7
11
0
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8
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1
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1
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1
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7
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0
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1
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9
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7
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4
12
1
5
9
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10
14
3
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8
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1
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2
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8
12
1
5
9
4
8
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