Could a Ring Mod really give an octave down?

I know the theory about how the Ring Mod works but I have just been able to try it for some minutes three years ago. Now I´m about to buy most of the foogers so I thought I´d do a little research. I´ll mostly be playing bass through them, so that´s what is going in through audio in if I don´t specify. Here´s my question:

The Ring mod gives the sum and difference between carrier and audio in. So if I play an A (440 Hz) and send it to both audio in and carrier in, the ring mod output is an A an octave up (880 Hz) and 0 Hz. That I can understand. But some here on the forum say that you can make it give an octave down. How could that be?

Yes, you can do that… by splitting signal after the ringmod, boost it and send it back to carrier in… I’m doing that all the time. But you get really different king of sound with that… little synthis… but really musical. It work just in low middle register… I thing that the vibration of the string is playing a major rule here. Uf, and if you play with mix knob (with expression pedal), you can also play 5ths and stuff like that… boost it with high gain distortion and you get sickest octave down fuzz.
So if you split and boost one signal (one that is going to the carriner in) before RM, you get octave up, if you spit it after, you get octave down. Try this with RM in feedback loop… ooou god. Send a signal from Cp-251 from mixer, where you mix random sample and hold (i mean random time, you do that with plugging second s&h out to LFO in) noise and some osc from ringmod… you will think your amp is perfectly broken! mf-102 is one of my favorite guitar pedals!

Got it. Sounds great! Thanks!