We will present some constructions for families of $M$-ary sequences of period $q-1$ from the array structure of Sidelnikov sequences of period $q^d-1$, where $q$ is a prime power, $M|q-1$, $d geq 2$. We propose two constructions WITH and WITHOUT the condition $gcd(d,q-1)=1$. Both constructions result in various families of $M$-ary seqeunces with low correlation magnitudes and enough family size.