Not an expert, but 3-ply 60wt should be fine for both piecing and quilting. Do you know the brand name? There can be great variability in quality depending on brand. With cotton thread, poor quality can mean a lot of lint in your machine. With polyester, poor quality can mean more frequent shredding and breaking. Dual duty is a cotton covered polyester thread.
edit: twist can affect how a thread works too, but I don’t know the details associated with left twist on a cone. On a spool it affects whether you want the spool to be held upright or sideways; with a cone, I don’t know.
Last edited by Prism99; 01-19-2018 at 11:15 AM.