Where of course it is excellent advice to recommend using a "better" midi playback device, I think what the OP is trying to do is legit.
There is no point writing MIDI tracks using the TTs-1 that will be ultimately be played back on the billions of MS wavetable synths the average pc person will be using to listen with.
Do not forget that there are many MIDI composers out there who enjoy posting songs as pure MIDI. Very few people will load these songs into a DAW.
It may sound like cheese, but it is the "standard"
And don't forget you old timers! We used to pay #1,000- $2,000 for a sound module that sounded worse.
It is a huge PITA to load MIDI files into Sonar just to audition them.