Something neat to mention about Reaper is that its piano roll isn't restricted to twelve keys per octave, so you can make really wild microtonal music with it. It's not something most people would necessarily do, but it's fun.
Something that is NOT neat to mention about Reaper is that it doesn't have a native clip view like what Ableton has. Without it, you'll have more luck writing things down in a notation program like Sibelius and importing it to Reaper, but that's a huge pain (and Sibelius is pricey). However, you can download Playtime for Reaper and then get a clip view.
The general rule, from what I understand, is that Ableton has a good workflow and a powerful sampler (and Max for Live is fun), FL has a bad workflow but extremely powerful synths (Harmor and Sytrus are incredibly versatile), Reason is a trip and barely even counts as a DAW in the traditional sense because everything is native to Reason and it doesn't play nice with other VSTs (but it's a powerful music making program), Renoise is great if you're a masochist who likes making music via trackers (like programmers in the 80s), and personally, I would use Reaper for microtonal music and absolutely nothing else (A lot of my stuff is pretty experimental).
I haven't tried Logic/Cubase/Pro Tools/etc, so I can't comment on them, but I do understand that they're a lot better for mixing tracks than Ableton is, so if you have the inclination to do this, you should create your tracks in one DAW and then mix them in another.