5040edo

5040 equal divisions of the octave divides the octave into steps of 0.238 cents each.

Theory

5040 is both a superabundant and a highly composite number, meaning it's amount of symmetrical chords and subscales increases to a record, and the amount of notes which make up those scales, if stretched end-to-end, also is largest relative to the number's size.

5040 is contorted order-4 in the 3-limit and contorted order-2 in the 5-limit in the 5040c val. It tempers out 9801/9800 in the 11-limit.