There are lots of compositions in Adi-Tisra nadai. Sometimes artistes render these in Rupaka (chatusra nadai).
Sorry, I meant to exclude tishra-naDai Adi / Ekam too.
Also, is tIrAdaviLaiyATTu piLLai khaNDacApu or (khaNDa-naDai) catushra Ekam?
To add on, I have a small doubt about rUpakam: is it really sung as catushra-naDai, catushra-jAti rUpaka tALam, or is it to that tALam what mishracApu would be to tishra tripuTa tALam? And what is the "Rupaka (chatusra nadai)" in your post?