Embracing to write songs with monophonic melodies is one thing, making (static) chords by detuning oscillators is another. But none of that can replace the interest you would add to a song (an actual song, not a "track" or "jam" based on an 8-bar hook) by using dynamic chord progressions. Hence, these suggestions are not really helpful considering the original question. They are valid concepts in itself, but not solutions to the raised issue.
well, there isn't a "solution" because the tempest cannot record poly. there are only workarounds and alternatives. also, i think most songs are structured on loops or hooks, and 8 bars is generous. if you are interested in writing through-composed music, why would you depend on the standalone functionality of something that relies on the loop as bread and butter?
anyways, it's like i said. if you want to use the tempest for chords, use an external sequencer, or play it live.
I have to agree with this. If you're looking to record "dynamic chord progressions" in the context of "an actual song", why rely on the Tempest's loop-based sequencer at all? Man up and
play the damn thing - musicians do it every day, folks - or sequence it from your DAW if automation is your thing.
Don't get me wrong, would polyphonic recording be an asset? Sure. Would it solve either of the issues cited above? No. Are there reasonable workarounds? Yes.
Take the lacking MIDI implementation for instance. Is it somewhat perplexing that Dave Smith (the father of MIDI) didn't better specify the Tempest for external MIDI control? Yes. Can you turn a filter knob by hand while recording. Yes. And so you should. I mean, are we men or are we men (smirk)?
At any rate, how anyone comes to own a $2000.xx boutique analog drum machine, an expensive audio interface, Ableton Suite, or what have you; and then gets blindsided by these so-called shortcomings is beyond me. It's seems to me that a lot of people are invested in elaborate home studios, yet don't understand the gear.
There are a lot of bugs remaining in the Tempest's firmware that should indeed be fixed; but the finite limitations of the hardware should not come as a surprise to anyone not otherwise in over their head. Do your research, read the manual, and don't buy anything you don't need or understand.
Cheers!