Context. Icy dwarf planets are key for studying the chemical and physical
states of ices in the outer solar system. The study of secular and rotational
variations gives us hints of the processes that contribute to the evolution of
their surface. Aims. The aim of this work is to search for rotational
variability on the surface composition of the dwarf planet (136472) Makemake
Methods. We observed Makemake in April 2008 with the medium-resolution
spectrograph ISIS, at the William Herschel Telescope (La Palma, Spain) and
obtained a set of spectra in the 0.28 - 0.52 {\mu}m and 0.70 - 0.95 {\mu}m
ranges, covering 82% of its rotational period. For the rotational analysis, we
organized the spectra in four different sets corresponding to different
rotational phases, and after discarding one with low signal to noise, we
analyzed three of them that cover 71% of the surface. For these spectra we
computed the spectral slope and compared the observed spectral bands of methane
ice with reflectances of pure methane ice to search for shifts of the center of
the bands, related to the presence of CH 4 /N 2 solid solution. Results. All
the spectra have a red color with spectral slopes between 20%/1000 {\AA} and
32%/1000 {\AA} in accordance with previously reported values. Some variation in
the spectral slope is detected, pointing to the possibility of a variation in
the surface content or the particle size of the solid organic compound. The
absorption bands of methane ice present a shift toward shorter wavelengths,
indicating that methane (at least partially) is in solid solution with
nitrogen. There is no variation within the errors of the shifts with the
wavelength or with the depth of the bands, so there is no evidence of variation
in the CH 4 /N 2 mixing ratio with rotation. By comparing with all the
available data in the literature, no secular compositional variations between
2005 and 2008 is found
