343edo: Difference between revisions

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Scales: document 34.3edo
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* Lucite[23] is close to ripple[23], but turned inside out; and lucite is reflective and clear like water, but solid instead of liquid  
* Lucite[23] is close to ripple[23], but turned inside out; and lucite is reflective and clear like water, but solid instead of liquid  
* Lucite is an especially lightweight material, and lucite temperament is lightweight in the way it only needs 18 generators to reach every 17-limit prime.
* Lucite is an especially lightweight material, and lucite temperament is lightweight in the way it only needs 18 generators to reach every 17-limit prime.
; Subsets
* [[Modmos]] of lucite[6]: 60 60 30 40 93 60


=== Other MOS scales ===
=== Other MOS scales ===
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It has a step size of 34.985{{c}}.  
It has a step size of 34.985{{c}}.  


It was discovered by chaseofspades513 and yovariable on the [[Xenharmonic Alliance]] Discord server and further described by [[Gordon Wery]],
It was discovered by chaseofspades513 and [[YoVariable]] on the [[Xenharmonic Alliance]] Discord server and further described by [[Gordon Wery]].


Compared to 34edo it improves harmonics 7, 11 and 13, at the expense of 2, 3 and 5. Its mappings of multiple-of-2 and multiple-of-3 harmonics are very inconsistent, though some composers may enjoy this due to the potential to play tricks on the listener by having [[octave equivalence]] fall on a scale step one might not expect.
Compared to 34edo it improves harmonics 7, 11 and 13, at the expense of 2, 3 and 5. Its mappings of multiple-of-2 and multiple-of-3 harmonics are very inconsistent, though some composers may enjoy this due to the potential to play tricks on the listener by having [[octave equivalence]] fall on a scale step one might not expect.
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=== Other scales ===
=== Other scales ===
* [[Equiheptatonic]] (as from [[7edo]]): 49 49 49 49 49 49 49
* [[Equiheptatonic]] (as from [[7edo]]): 49 49 49 49 49 49 49
* [[Modmos]] of lucite[6]: 60 60 30 40 93 60
* [[49edo]]: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
* [[49edo]]: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7