Segmented Turning Angle For a 16 Segment Ring
11.25°
- 16-segment ring
Methodeach segment's miter angle = 180 / segment count — the same flat-frame formula applied around a full ring.
This is the miter angle per segment edge; stave height and outer diameter are separate calculations this page does not cover.
Each segment in a 16-segment turning ring is cut at 11.25° — the finest, tightest angle of the three segment counts covered on this site, and the one where accumulated error becomes a real gluing problem rather than a theoretical one.
Why this one specifically
Sixteen segments means thirty-two individual miter cuts closing one ring, twice as many as the 8-segment case for the same circle. Turners reach for this count on larger-diameter rings or when the design calls for finer, more detailed segment patterning — more, smaller facets approximate a true circle more closely before turning, and leave room for tighter contrasting-wood patterns around the ring. The tradeoff is that 11.25° isn't a built-in detent on most saws, so it has to be set from the scale precisely, and with thirty-two joints to close instead of sixteen, the same fraction-of-a-degree error that's invisible on an 8-segment ring can add up to a gap nobody can hide.
What moves the number
Purely a function of segment count — stave height, ring wall thickness and outer diameter are handled separately. Because error compounds fastest here of the three ring counts, cutting and dry-fitting a full test ring before committing to glue is worth doing at this segment count specifically, more than at 8 or 12.
For stave-height and diameter math this angle alone doesn't cover, see the segmented turning angle basics explainer. The 12-segment ring is the lower-error alternative at a coarser facet count — set either up in the angle calculator.