  We present new estimates of the relative distance of the Magellanic Clouds
(MCs) by using NIR and Optical-NIR Cepheid Period Wesenheit (PW) relations. The
relative distances are independent of uncertainties affecting the zero-point of
the PW relations, but do depend on the adopted pivot periods. We estimated the
pivot periods for fundamental (FU) and first overtone (FO) Cepheids on the
basis of their period distributions. We found that log P=0.5 (FU) and log P=0.3
(FO) are solid choices, since they trace a main peak and a shoulder in LMC and
SMC period distributions. By using the above pivot periods and ten PW
relations, we found MC relative distances of 0.53$\pm$0.06 (FU) and
0.53$\pm$0.07 (FO) mag. Moreover, we investigated the possibility to use
mixed-mode (FU/FO, FO/SO) Cepheids as distance indicators and we found that
they follow quite well the PW relations defined by single mode MC Cepheids,
with deviations typically smaller than 0.3{\sigma}.
