User:Lériendil/On the primes

The way each of the primes tends to behave within xenharmony is largely defined by the numbers that neighbor it. Every prime (bar 2) splits some superparticular in half, and that prime's neighbors are twice the numerator and denominator of that superparticular. Other isoharmonic sequences, such as those which differ by 2, 3, or 4, can also be used, but are much less likely to split intervals that belong to significantly lower prime-limits. However, the process of splitting superparticulars in half induces primes 2 and 3 necessarily, and so isoharmonies of deltas 2 and 3 are fundamental to no-twos or no-threes structures.

prime 15