Lumatone mapping for 90edo
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There are many conceivable ways to map 90edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
Due to the size of the edo, this mapping does not cover all the notes. In addition, the best approximation to 5/4 is a hextuply augmented fifth or septuply-diminished second, which is impossible to play with the root note of the scale.
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28
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17
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16
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80
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89
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31
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63
79
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80
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16
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80
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78
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62
Diaschismic
On the other hand, the golden diaschismic mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from 2L 8s to 10L 2s to hit every single note.
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87
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