Frequency sweeps all seem like impressive stuff.
I don't have a CD player attached to the telly these days so that's out.
If the jjbun app as really good then ?6 is fair enough but if it is just a glorified tone generator then I would hope there are free apps to do that. Not sure what use the chart you mention would serve. I guess it should be somehow possible to get the telly to play it - perhaps by screen mirroring (like Miracast) or maybe the app can actually cast its output to the telly as several apps do these days (using WiFi Direct I think).
My bass speaker doesn't have any settings at all but I was thinking that I might, in the best traditions of DIY, remove the front grille and experiment with attaching a blob of something to the speaker cone to dampen it down. It's not very scientific and might be time consuming and even fail to work at all but it's very cheap. :-)