You can craft NQ Calibrated Rose Cogs without any cross-class skills if you have 400 Craftsmanship and 336 CP.

The sequence uses Steady Hand (SH), Basic Synthesis (BS), Master's Mend II (MM2), and Manipulation (Manip) - all GSM skills.

SH-BS-BS-BS-BS-BS-SH-BS-BS-MM2-BS-BS-Manip-SH-BS-BS-BS-BS-BS-SH-BS-BS-BS

That's 17 Basic Synths, each buffed to 100% success rate, and each giving 48 progress.
The cogs have 80 durability, and the MM2 and Manipulation together restore 90.