54edo: Difference between revisions

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However, even these best temperament interpretations of 54edo are quite high in [[badness]] compared to its immediate neighbours [[53edo|53-]] and [[55edo]], both of which are [[Historical temperaments|historically significant]] for different reasons, leaving it mostly unexplored so far.
However, even these best temperament interpretations of 54edo are quite high in [[badness]] compared to its immediate neighbours [[53edo|53-]] and [[55edo]], both of which are [[Historical temperaments|historically significant]] for different reasons, leaving it mostly unexplored so far.


If you use the patent val (27edo) fifth, then 54edo is a good candidate for octave-compression, since it has a consistently sharp tendency except for harmonic 5. If you use the flatter fifth, then octave-stretching will work better for 5-limit (but mixed results on higher limits).
If you use the patent val (27edo) fifth, then 54edo is a good candidate for octave-compression, since it has a consistently sharp tendency except for harmonic 5. If you use the flatter fifth, then octave-stretching will work better for 5-limit (but will have mixed results on higher limits).


=== Odd harmonics ===
=== Odd harmonics ===