54edo: Difference between revisions
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<b>54-EDO</b> is an equal temperament that divides the octave into 54 equal parts, each 22.2222 [[cent]]s in size. It's a rare temperament which adds approximations of the 11th and 15th harmonics, as well as an alternate (flat) mapping for the 5th, to [[27edo|27edo]] which it doubles. The 54cd val makes for an excellent tuning of 7-limit [[Augmented_family#Hexe|hexe temperament]]. | <b>54-EDO</b> is an equal temperament that divides the octave into 54 equal parts, each 22.2222 [[cent]]s in size. It's a rare temperament which adds approximations of the 11th and 15th harmonics, as well as an alternate (flat) mapping for the 5th, to [[27edo|27edo]] which it doubles. It is the highest edo in which the best mappings of the major 3rd and harmonic 7th are exactly 600 cents apart, making them suitable for harmonies using tritone substitutions. The 54cd val makes for an excellent tuning of 7-limit [[Augmented_family#Hexe|hexe temperament]]. |