Hi,
Even with 16 you'll get into aliasing (noise) very quickly.
It's a frequency multiplier.
If you play a C6 note (~1000Hz) with 16 you'll get 16Khz base frequency.
With all the harmonics brung by the modulation you'll very very quickly reach the limit of the 40Khz sampling rate.
40Khz sr -> frequency above 20K will be folded back bellow 20k and will create kind of digital noise.
That's maybe what you want bu i think 16 is enough for that.
Xavier