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Woodworking Math

Hand saws: rip, crosscut and Japanese pull saws

Which hand saw for which cut: rip or crosscut teeth, how many teeth per inch, and how Japanese pull saws differ from Western saws. Each line names the makers behind it; the joinery saw figures are the makers’ own specifications.

Rip, crosscut and tooth count

  • Rip teeth are filed to cut along the grain and crosscut teeth to cut across it, so pick the saw, or the edge, by the direction of the cut.

    3 sources agree , sources [1, 2, 3]

  • Japanese saws cut on the pull stroke; Western saws cut on the push.

    3 sources agree , sources [2, 4, 3]

  • Dovetailing cuts along the grain, so dovetail saws are filed rip.

    Two sources: Lie-Nielsen Toolworks and Lee Valley (Veritas) , sources [1, 5]

  • More points per inch cut more slowly and leave a finer surface; finer teeth suit thinner stock.

    Two sources: Lie-Nielsen Toolworks and Lee Valley (Veritas) , sources [1, 5]

  • Points per inch counts one more than teeth per inch: ppi = tpi + 1.

    Two sources: Highland Woodworking and The Disstonian Institute , sources [6, 7]

  • A ryoba has rip teeth on one edge and crosscut teeth on the other.

    Two sources: Lee Valley (Veritas) and Woodcraft , sources [2, 3]

  • A dozuki has a stiff back along the top and fine teeth, for joinery such as tenons and dovetails.

    Two sources: Lee Valley (Veritas) and Woodcraft , sources [2, 3]

  • A kataba has teeth on one edge only.

    Two sources: Lee Valley (Veritas) and Woodcraft , sources [2, 3]

Sources

  1. Lie-Nielsen Toolworks, Catalog (2013): bench planes, low angle planes and saws (pp. 6–14, 35–37), read 2026-11-08
  2. Lee Valley (Veritas), Different types of Japanese saws, read 2026-11-08
  3. Woodcraft, Choosing & using Japanese saws, read 2026-11-08
  4. Suizan, How to properly use a Japanese saw (pull saw technique), read 2026-11-08
  5. Lee Valley (Veritas), Veritas dovetail saws (14 and 20 tpi rip) and dovetail & crosscut saw pair (16 tpi crosscut), read 2026-11-08
  6. Highland Woodworking, Lie-Nielsen tapered saws: tpi = ppi − 1, read 2026-11-08
  7. The Disstonian Institute, Glossary: points per inch, read 2026-11-08

Joinery saws, as two makers file them

Lie-Nielsen counts points per inch and Veritas teeth per inch; the table gives both, one being the other plus one. Each maker is the authority for its own saw.

Dovetail, crosscut and carcass saws
MakerSawFiledppitpiNote
Lie-NielsenDovetail sawrip1514
VeritasDovetail sawrip1514for stock over 1/2"
VeritasFine-cut dovetail sawrip2120for stock under 1/2"
Lie-NielsenSmall crosscut sawcrosscut1615
VeritasCrosscut sawcrosscut1716
Lie-NielsenCarcass sawcrosscut1413tenon shoulders, dados
Lie-NielsenRip carcass sawrip109general work; also made at 15 ppi

Read 2026-11-08: Lie-Nielsen Toolworks, Catalog (2013): bench planes, low angle planes and saws (pp. 6–14, 35–37); Lee Valley (Veritas), Veritas dovetail saws (14 and 20 tpi rip) and dovetail & crosscut saw pair (16 tpi crosscut).

Machines for the same cuts

Tooth counts for table saw blades are in the table saw blade guide, and band saw blades in the bandsaw blade guide. Dovetails cut by hand are laid out with the dovetail calculator.