I seem to be in heavy work avoidance mode today, so I've made some examples (I've been meaning to test the new extreme oversampling options in The Glue anyway)
Warning: turn down your monitors! The files peak at about -20dBFS, but this will still be painful at high volume!
I started by generating a 5 second sine wave sweep from 1KHz to 10KHz, at 44.1KHz. I then ran this through The Glue, with the Peak Clip option turned on, and the makeup gain maxed at +40dB. In other words, distorting the sine wave almost into a square wave. Then I dropped the channel fader to -20dB to leave some headroom in the renders.
I rendered 4 files:
1: Bypass. The control, with The Glue bypassed. This is just a pure sine sweep as expected, and a wavelet transform looks like this:
2: Distorted x1. No oversampling. Sounds awful, and looks a mess as well:
3: Distorted x8. 8x oversampling: sounds pretty good, but (in this extreme case) some chirpy nasties start to creep in towards the end:
4: Distorted x256. The maximum 256x oversampling, which is only available for offline renders. This is essentially perfect: all the harmonics up to nyquist, and nothing else. However, note that this 5 sec file took approx 50 secs to render, while the rest took basically no time at all.