Lluis Garcia Torcal

Ὁ Πενταμετρικὸς Κύκλος: A Nested Palindrome Encoding the Pythagorean Consonances

We present the Pentametric Cycle (Ὁ Πενταμετρικὸς Κύκλος), a structure generated by an integer-valued quadratic formula 𝔓(n), the Pentametric Formula: 𝔓(n) = (n² + 4C(m))/5, with m = 4n² mod 10 and C(m) = (26m − 5m²)/24. We show that the correction term C(m), the Interval Map, co...