also wave-length, 1850, "distance between peaks of a wave," from wave (n.) + length. Originally of spectra; radio sense is attested by 1925. Figurative sense of "mental harmony" is recorded from 1927, on analogy of radio waves.
they are on the same wavelength
watt
wattage
wattle
Watusi
wave
wavelength
waveless
wavelet
waver
wavy
wax