How to intentionally fray curved edges in fabric? Closely Related:
- How to Sew Up &quot;Cut Outs&quot;, (Shapes Cut Into Fabrics)?

In the related question, there are solutions for prevent frayed edges in fabric.

But, could you avoid the complexity of sealing, folding, or stitching those edges - by intentionally leaving "nice" pre-frayed edges?

Example: If you were to cut a circle into the fabric, and stitched closely (1cm??) from the curved edge - what methods could be used to leave a "consistently" frayed edge?

Are the fabric's "weave", "thread-count", or other factors, important for this?
You have the right idea. Sewing near the edge but leaving the actual edge raw will achieve a frayed edge. Things to keep in mind:


This will only work on a woven fabric, not a knit. 
Most importantly, not all edges will fray equally on a circle shape. Because of the nature of a woven fabric, the threads are horizontal and vertical. Certain places around the circle (mostly when you hit the bias area), the fraying will change or may not show up at all.
The weave does matter. If the fabric has a very open weave, it may not have a very frayed look, but look like loose threads.