This is not a sock pattern. I have provided a Project Page for knitting a Toe Up sock with measurements for where to begin the Short Row Heel.
This sock is Gauge-Free, worked from the toe up using the Judy’s Magic Cast On or the Turkish Cast on. Once you have worked the toe wide enough for your sock size, you measure the toe and use it to predict where to begin working the Short Row Heel.
I have included a modification for working a gusset for more room around the sock at the heel.
You don’t need to know your gauge ever. Use your ruler to determine the size you need.