Sextile — 60°, orb 6°

Sign centers that are exactly 60° apart are sextile with zero remainder, well inside the 6° orb. The pairs are listed below from the same geometry the sign pages use. A 54° gap between two planets also matches, because 60 − 54 = 6. A 53° gap does not.

Using the 8° orb of the square or the trine on a sextile would accept pairs this engine rejects. The code checks angles in order and stops at the first hit, but a 60° target is only compared with the 6° allowance. There is no second pass that promotes a near-miss into a trine.

On a sign page, the two sextile partners are the rows marked 60°. They are not the element siblings. Element siblings sit at 120°, which is the trine. Mixing those two angles is how generic compatibility pages go wrong.

Worked numbers: a body at 10° and a body at 70° are exactly 60° apart, a sextile with zero remainder. A body at 10° and a body at 76° are 66° apart, the edge of the 6° orb, and still match. A body at 10° and a body at 77° are 67° apart and do not match. They also do not fall through to the square, whose target is 90°. Planet pairs on a chart use that same 6° window around the longitudes they actually have.