Families are exposed in the repertoire of 4 Duets for Guitar and Alto Saxophone.

By cross-referencing the resultants of dyadic interference we notice similarities between the distribution of their parts.

This sharing of rhythmic design expands or shrinks the bar lengths, in other words the denominator and numerator are altered but both tempos remain the same.

Observe example No3 which shows the members of various Dyadic Families. These relationships allow the categorisation of dyadic polyphony into Families. Find one the others come free !

Lets have a closer look at Family One- we immediately notice the similarities between all its members, p3-2, p5-3, p7-4, p9-5, p11-6. These are expansions of the original interference of p3-2 and their growth rates are consistent. The numerators are always by two and the dominators by a single digit.

This procedure is found in example No4, the tune Si-So is from repertoire two. Here the guitar part rhythmically modulates between families members, p9-4 Family three in bar 25-26 to 4/4 in bar 27 and to p7-3 also from Family three in bars 28-31.

Also the beaming of notes is supportive of these subdivisions, a standard technique used throughout the three repertoires.