a number system that can do 5ths, thirds and quarters Please forgive my ignorance, I am unsure of the proper terminology here. A 10 base number system can easily give us 5ths (2) and halfs (5). A 12 base number syst...--prophetes.ai

a number system that can do 5ths, thirds and quarters Please forgive my ignorance, I am unsure of the proper terminology here. A 10 base number system can easily give us 5ths (2) and halfs (5). A 12 base number system can easily give us 6ths (2), quarters (3), thirds (4) and halfs (6). What I am after is a number system that can do 5ths, thirds and quarters (and if possible, 6ths)

Take LCM of 3, 4, 5 and 6 to find base.

You got base = 60.

Called sexagesimal system.