The results of wave to midi programs are pitiful. You better buy a cheap midi-keyboard and record the midi data by any midi-notate software. What you might also look for is a midi-sequencer software.
As you know this site is not meant to make recommendations for software. But as your question is interesting and relevant for other users I was trying to find more information.
Searching for Convert polyphonic Audio to MIDI Chords
I've found the following answer to a similar question in redit:
Melodyne has poly tracking ability. Not going to be great on super variable and harmonically rich content, but can work.
I have the polyphonic version of Melodyne and it's pretty amazing. I used it mostly in Sonar where its ARA integration means you can literally just drop an audio clip on a MIDI track and it will be replaced with a MIDI clip. Now I use Reaper and although there's no ARA integration yet, it's coming soon.
However the technology is not yet perfect, and I'm not sure that it ever will be. There are loads of things that can trip the algorithm up - most commonly, it will mistake harmonics for fundamentals. And the accuracy of timing depends on how distinct the transients are, although Melodyne is very intelligent and I think it understands concepts like a note's "musical start" not always being the same as the physical start of the sound. Additionally, you might sometimes be frustrated by the velocity values that Melodyne has given the notes. Basically, with any conversion tool like this you're going to have to be prepared to go into the MIDI and correct a few errors before it's a good match, depending on the complexity of the content. But on the other hand, there have been times when I've been able to use Melodyne's MIDI straight out of the box with no editing or adjustment.
One thing you might try to improve the conversion process would be to whack a low pass filter on the signal before it hits Melodyne. If you set the filter low enough so that it's just a little higher than the highest note in the piece, you will be getting just the note fundamentals and cutting out most of the kind of harmonics which confuse Melodyne. Admittedly I've never tried this filter trick myself, although I have had success in turning down the tone pot of my guitar before recording something I wanted to convert to MIDI. The darker the sound, the easier it is for Melodyne.