A real tapered long-Yagi design — every director slightly shorter and spaced further than the last. The element tables here come from a published tapered long-Yagi design.
Tapered element lengths and boom spacing for a real long-Yagi design.
A Yagi trades width for gain — a driven element plus a reflector and directors that focus the signal one way.
Starting-point proportions, all published rules of thumb: rod 0.05 λ long, spaced 0.007 λ off the element center to center, rod diameter half the driven element, and a series capacitor of about 7 pF per meter of wavelength.
Because that capacitance is proportional to wavelength, its reactance works out the same on every band — near 76 Ω — so the voltage across it depends only on your power, not your frequency. The tool computes the peak from the line current and recommends three times that, which covers the mismatch you will see while you are still tuning. Both the rod length and the capacitor are adjusted for lowest SWR on the actual antenna; these get you into range.
This is a design table, not a tuned build — expect to fine-tune the driven element for your feed. Gain figures are free space; over real ground and with real construction, expect a little less.
The boom correction is the G3SEK curve fit of Günter Hoch’s (DL6WU) measurements. It only covers booms thinner than 0.055 wavelengths; past that the tool says so rather than quietly extrapolating. Square booms are normally taken at their across-flats dimension.