On the basis of a brief presentation of the characteristic for the Fibonacci-class quasilattices (FC(n)),the properties of the spectra were studied for the second harmonic light (SHL) through the N layers ferroelectric superlattices constructed following FC(n) by means of the small-signal approximation.It was found that in the real space there existed perfect self-similarity for the most intense spectral peaks of SHL.On the other hand,the self-similarity for the spectra will be broken if the refractive dispersion is taken into account.The effect of vacancies which was valid only for the SHL's dim spectra lines but invalid for the bright ones is also discussed.