what can I do with one speaker?

I have one 2way speaker better quality than any pair of speakers I own (the other one was tossed years ago). I don't have a surround sound DAC or receiver, I was thinking, moving the R/L tv speakers further apart, and running the speaker in mono mode directly under the tv... use a splitter and connect the +L/R of the split going to the mono speakers amp as with a 1k resistor... is this a terrible idea?
 

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You could connect it (+)L to (+)R of your amp and it'll make sound, but not dialog. If you're using a class D amp, typically a BTL amp (bridged...) arrangement, you can go (+)L to (-)R and it'll be mono. No extra amp necessary.
 
I'm so bad at wording my question... I know how to build it. but is there going to be a benefit or am I just losing clarity for more volume.
This single speaker is noticeably crisper than the L/R pair. Dialogue comes through clearer woofer is a little smaller, but tweeter is much bigger and better quality. This would be a good idea if I had a separate center channel receiver, but IDK if its a terrible idea as a mono L/R.

Even with a well made L+R to mono bridge (resistors, clean soldering, shielded etc), is going to sound muddier than non-mono, right?
And weather the speakers being completely different size/brand etc was an impact on clarity. I'm using a splitter and separate amp for the subwoofer already , the L/R channels on that amp are unused, putting a mono line in will be simple enough. The tv stand is cube shelf cabinet, Id be making a new enclosure for this speaker, to fit it under the tv, same volume but less rectangular.