Lumatone mapping for 27edo

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Revision as of 11:15, 12 April 2024 by Yourmusic Productions (talk | contribs) (Fix math error)
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There are many conceivable ways to map 27edo onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

6
11
7
12
17
22
0
3
8
13
18
23
1
6
11
4
9
14
19
24
2
7
12
17
22
0
0
5
10
15
20
25
3
8
13
18
23
1
6
11
1
6
11
16
21
26
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9
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19
24
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7
12
17
22
0
24
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7
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22
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25
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8
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18
23
1
6
11
25
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8
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6
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26
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9
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24
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7
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22
0
21
26
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11
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8
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26
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11
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26
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0
5
10
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20
11
16


Keep in mind that 27edo is a superpyth temperament, so 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D). Therefore if 0 is 1/1 on this mapping, 9 represents 5/4 and you can find that by going over to 5 (e.g. C->D) and then going up to 9 (D->D). If you want root-3rd-5th triads to be accessible in a more intuitive way, the tetracot mapping may be preferable.

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20


Other alternatives to this include a mapping derived from a Lumatone mapping for neutral thirds scales:

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Or this rotated version of the above, which resembles the Lumatone mapping for 24edo in the official manual:

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If you want to maximise your range, the myna one is the widest one that still covers the whole gamut, spanning 8 octaves in its most compressed MOS.

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