Pentatonic Functional Just System: Difference between revisions

Primes beyond 13 are classified somewhat like the FJS, with generator ranges from -6 to +5, with priority 0, 1, -1, 2, -2, etc. Unlike FJS, however, the RoT is not the same in both directions. The RoT of a pythagorean interval of <math>i</math> cents is <math>i-68</math> through <math>i+46</math> cents. This range was chosen so that it works for the 13-limit, and it spans just over an [[2187/2048|apotome]], the large step in the pythagorean chromatic scale. The exact range was set considering a few large primes: Prime [[37/1|37]] is just barely not a ₅m2³⁷, but rather a ₅M2³⁷; similarly, prime [[41/1|41]] is just barely not a ₅P3⁴¹, but rather a ₅s3⁴¹.