5040edo: Difference between revisions
No edit summary |
|||
| Line 1: | Line 1: | ||
'''5040 equal divisions of the octave''' divides the octave into steps of | '''5040 equal divisions of the octave''' divides the octave into steps of 238 millicents each, or exactly 5/21 of a cent. | ||
== Number history == | == Number history == | ||
5040 is a factorial (7! = 1 2 3 4 5 6 7), superabundant, and a highly composite number. | 5040 is a factorial (7! = 1 2 3 4 5 6 7), superabundant, and a highly composite number. 5040 is the 19th superabundant and highly composite EDO, and it marks the end of the sequence where superabundant and highly composite numbers are the same - 7560 is the first highly composite that isn't superabundant. | ||
Ancient Greek philosopher Plato suggested that 5040 is the ideal number of people in a city, owing to it's large divisibility and a bunch of other traits. | Ancient Greek philosopher Plato suggested that 5040 is the ideal number of people in a city, owing to it's large divisibility and a bunch of other traits. | ||