This year, I found some scrumptious stripy linen at Joanns. It's 98% linen with 2% unknown. The unknown is the metallic fibers in the linen - which is very 16th century, although I doubt they are real metal. The colors of the linen are all very well documentable - orange, yellow, red, lavender, blue, and white. The moment I saw it, the fabric told me it wanted to be a Turkish Coat.
The Italian Turkish outfits are a bit different from the actual Ottoman outfits. Italian ladies didn't wear the chirka - or the vest like fitted jacket that went over the gomlek/chemise layer. (See for details on the Ottoman terms for clothing). There could be many reasons for this but what the portrait and extant evidence shows is the chemise and the enteri or coat was worn in Italy. At the Met, there is this chemise with a v-neck and this early 17th C coat, both Italian.
New Look Pattern 6139 for the general cut. I added a waistband and had the pants open in the front rather than use a drawstring or elastic. I just pleated the excess to the waistband. They fit well and are pretty comfy.