Real-time noise cancellation

I have a very noisy heater in my apartment producing a constant whining sound between 6230 and 6280 Hz. The frequency varies but seems to fall within this range. Other apartments in my building have this same problem and the landlord doesn't seem too interested in fixing it. The noise is very annoying so I thought I could use some noise cancellation software to effectively cancel the noise. Using Audacity, I took a recording of the noise, and followed this tutorial http://wiki.audacityteam.org/wiki/Noise_Removal and was able to remove the noise from the audio file. Now, my question is, how can I do this in real time? I'd like to produce some "anti-noise" to cancel out the whining sound. Searching around for this, I found lots of people trying to do real time cancellation of background noise for Skype or other applications where the cancellation is being applied to an audio stream (or file) which is then being listened to elsewhere. I can't find any examples of this being done to cancel the noise in the location where it is being heard. Is this even possible? Could this be done with a tool such as Ardour?