Using time-resolved small-signal exciton absorption bleaching at low t
emperature as a spectroscopic technique, the optical transition energi
es from all three valence bands in spontaneously ordered GaxIn1-xP hav
e been measured with high accuracy. The origin of the bleaching signal
and the contributions of reflection, strain, and binding energy are d
iscussed. With three measured energies from each sample, all parameter
s in the quasicubic perturbation model can be fitted. Good agreement i
s obtained with a spin-orbit-splitting parameter of 103 meV, nearly in
dependent of the degree of ordering. The ratio of band-gap reduction t
o crystal-field-splitting parameter is found to be 2.7, slightly highe
r than previous works. This difference is attributed to a more accurat
e determination of light-hole-like band-gap energy.