Anyone know where I can get a cheap big rug and how to hang it?
Well ikea of course! Go to any carpet place and see if they seel those clips they use to hang the rugs they sell. but the rug will only cut out some the reflective sound and the high frequency stuff at that.
Absorbing low frequency sounds require many inches of thickness. Acoustic treaments can get pricey but could give you piece of mind of happy neighbors. Though I doubt if your small speakers are completely pressurizing your loft with bass so maybe it's just the echo/reverb that is affecting them?
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