Help with noises on breadboarding with cheap setup

[Gargaman]

I got the DOD250 overdrive (standard schematic) breadboarded and this is a clip that I just recorded:

https://soundcloud.com/gargaman/dod250

the circuit is powered by a cheap wallwart (similar as 1-spot); I'm using Millenium Bypass to switch it on and off.
There's a noise on background in the beggining of the clip (clean signal) that I suppose it's coming from the wallwart.
The effect turns on at 0:12 (low gain setting) and the noise gets a little bigger. As I raise the gain knob at 0:26, 0:38, 0:48 the noise keeps growing (I think that it's been amplified by the circuit along with the signal).
At 0:56 the gain is max, and a huge hiss (is this the right name for that shit noise?) takes place.
At 1:08 the effect is turned off and the noise remains when bypassed but it's different.
From 1:11 to 1:20 I turn the gain pot some times (let's say, from 100% to 95%) and the noise is pretty much affected.
My gain pot is 500kB since I don't have a 500kC now.
I got the same issue with a Fuzz Face breadboarded. A insane noise at the very end of the gain pot.
This happened with some cheap potentiometers but also with Alpha pots.
So, what's going on?
What can I do to improve this cheap setup for breadboarding with less noise? (throw away the wallwart is the best option, I bet, but will my problems be solved with a battery?)
Although some circuits get noisy on breadboard, they are ok when boxed, even when powered by the same power adapter. I've built the LPB and it has a much more subtle (almost nothing) noise.

I've tried this suggestions http://www.diystompboxes.com/smfforum/index.php?topic=86958.msg729781;topicseen#msg729781 but it didn't nothing at all.
Thanks!

PS. to Aron: I tried to upload the clip at http://www.aronnelson.com/DIYFiles/ but I got a error message about the size limits. It has less than 4Mb, mp3.

[garcho]

Breadboards will basically always be noisier than something soldered together and shielded in a grounded metal enclosure. Not that bad though. Does your breadboard have a metal plate underneath? You can use an alligator clip from breadboard ground to the metal plate, to get rid of a big chunk of noise. Not like a "real" enclosure but much better than nothing.
Your instincts are right about high-gain amplifiers (overdrive pedals, for instance) boosting noise + signal; sometimes it can get more complicated than that, too.
Try a battery, that will tell you immediately if it's the wallwart or something else. You said

the circuit is powered by a cheap wallwart (similar as 1-spot)

. Well, it ain't a $500 power brick, but it's not a "cheap wallwart", it's better than that. Is it a 1 spot? If not, than yes, it might just be a really crappy wallwart.
From the recording, it sounds like the wallwart, or like you're playing next to a fluorescent lamp or something. Are you?
It's probably not the pots. Cheap pots fail, but usually in other ways. However, they are one more thing that will be shielded once soldered and panel-mounted in a metal enclosure.
Have you tried the same wallwart with store-bought pedals that aren't on a breadboard? Assuming you're using a center-negative, anyway...

[Gargaman]

Thanks, Garcho!
I have noticed the fact that breadboarding is noisier. Mine has this black metal plate that I'm gonna ground after your advice. I also grounded the enclosure of the switch on the right of the picture (helped a little)



The wallwart, well, I wanted to be a 1-spot, but it's a crappy one from a manufacturer from Brasil, I'm gonna search for specifications. Now I'm breadboarding next to a laptop, with the output of the board plugged to an interface.
I'm aware that laptop screen induces some noise to the circuit, but this issue at the very end of the pots is something new to me!
I have used with Boss Ds1 (it gets some noise) and with a Nux Delay (no problem with that). I also powered an EA tremolo and LPBoost I have built (no problem too)
I would like to know if there's something to modify into high-gain circuits that could neutralize (or soften) that noise, since I'm going to power the pedals with the same wallwart.