Three-Key 12-Note Polyhybrid Encryption

Abstract

In this  paper, a dynamic encryption algorithm rich in music and mathematics has been developed. The foundation of this algorithm is the Pythagorean diatonic note series, combined with the alteration tools (Accidentals) in Turkish music. A 12-note, three-key system with equivalent notes we defined was used to create three different and two-notation encryption databases. The corresponding values of characters' ASCII codes in base 12 were structured to match the 12-tone note system in accordance with three different key structures. Formulas necessary for the integration of the three-key system were derived. From a transmission perspective, a symmetric encryption algorithm supporting addition, subtraction, and symmetry operations in base 12 was created. Fixed and dynamic parameter versions of the encryption key were designed. A musical composite function operation, based on the infrastructure of flat, sharp, and the 12-tone note system, was designed and implemented, benefiting from the properties of flat and sharp accidentals. A dynamic musical encryption design was developed with time and serial numbers, three different musical keys, and a staff-supported mathematical composite function structure, ensuring data transmission and character set. Through the integration of mathematical operations with musical terms, an original algorithm was designed, making it highly resistant to breaking, while minimizing the similarity between characters. In terms of data diversity, mathematical operations, and transmission variety, it stands out from similar studies due to its richness.