The short answer
Line density is how many scan lines the laser writes per millimetre (some programs use per centimetre). Line interval is the distance between two scan lines. DPI counts the same lines per inch. They are three views of one setting: a higher line density, a smaller line interval and a higher DPI all mean the lines sit closer together. The conversion is exact because an inch is 25.4 mm.
- Line interval (mm) = 25.4 ÷ DPI
- Lines per mm = DPI ÷ 25.4 (lines per cm = × 10)
- 254 DPI = 10 lines/mm = 0.1 mm interval