Hi,
What is your computer, an iMac, or ?
This is your problem: different earth potential. Your computer is grounding itself thru the Octatrack via the audio cables … An indication is the noise coming from the computer when you move your mouse !
Assuming you have proper ground connection at your home (these will work even if not):
If you connected the Octatrack to your computer with and usb cable, try unplugging it. If it is your problem you can easily solve this by covering the ground pin with some electrical tape on the Octatrack end (on the usb cable, pin 4).

1 USB Vcc (Vbus)
2 USB Data
3 USB Data
4 GND
Also, if you did put your Octatrack in a rack or it is in contact with another device (metal), remove it from there, ground will pass anywhere it can …
If everything is grounded in your system, you have some solutions (you should always ground the units that come with a ground plug):
build custom TRS cables, see here number 14:
http://www.rane.com/note110.html
Buy a hum eliminator if you are in the US:
http://www.amazon.com/Ebtech-Hum-Voltage-Filter/dp/B0002E4YI8
In europe, you should try a DI BOX with a galvanic isolation between your octatrack and the DUET, something like that will do GREAT:
http://www.thomann.de/fr/palmer_pan_04.htm
If this is a laptop, same thing if it is plugged. Try running from its battery: if the noise is gone then you will have to go with one of the solution described above.
I had the same fucking exact problem some years ago, my best solution was the Palmer pan 04 as i am based in europe/france:
I had an iMac, a Duet and a slim phatty. Mouse zip and hum all over the place. I then found out that when plugging the iMac to a normal power socket without a ground, NO MORE NOISE !
But then what did happen ? every time i did touch the slim phatty metal plate, an electrical shock that made me scream hard … that’s where the DI Box helped, the computer could be grounded, so no more shocks and no more noise 
I tried many things to find the problem, audio interfaces, computers, whatever, but it was the ground circuit at home that was shitty.
Don’t remove the ground pin from your computer, even if it solves your problem, it is there for your safety.
Hope it helps.