2 ms·
> We can never get perfect octaves from a stack of fifths because no power of 3/2 will ever give us a power of 2. Yep, none of them will ever be in the same ri
by ken 8y ago
> We can never get perfect octaves from a stack of fifths because no power of 3/2 will ever give us a power of 2.
Yep, none of them will ever be in the same ring. This is actually quite similar to the reason you can't trisect an angle, square a circle, or double a cube.
- dr_dshiv 8y agoDo you have any references for this relationship/reason? In my understanding, this question played a major role in the development of classical mathematics. But proof of the impossibility came only in the early modern period.