I built a prototype/test cabinet for the Accuton speaker. I like the look of stacked plywood construction. I have seen it called paralamb or translamb construction. I cut templates, then cut pieces close to size and fastened the template to them. I then used a router table and a pattern bit to cut the pieces to the template. You can see this here. It took a few days and after the glue up it turned out ok and good enough for the test cabinet but not for the final speaker.
I found a small CNC shop near me that cut the pieces for the final cabinets. He included indexing holes so everything lines up perfectly. Well worth the USD 185 it cost.