A tire tread having design cycles or pitches in which the circumferential lengths of repeated pitches are randomly modulated in certain selected sequences to reduce the amount of noise generated by the tire tread when the tire rolls on a road surface. The pitch sequences include three different circumferential pitch lengths including a group having a largest number of medium length (M) pitches, a smallest number of shortest length pitches (S) and a medium number of longest length (L) pitches. In one embodiment, the ratio of the three different pitches are 0.8 for the smallest length pitch (S), 1 for the medium length pitch (M) and 1.2 for the longest length pitch (L). 100 pitch sequences are proposed with the sequence L M S M S L M L M L M L M L M M L M L M L M L M L M being the preferred sequence which provides the most noise reduction. Ninety nine other pitches are also within a range to provide an acceptable level of noise reduction in a tire tread.