Abstract: A system and method to generate and implement digital tuning files based on p-smooth number sequences for use with a digital musical instrument is provided. A p-smooth number sequence is generated and a subset of p-smooth numbers from the sequence is chosen as a musical octave of musical note frequencies. Each note within the octave is designated as a tonic, and each tonic is used to generate additional musical octaves and corresponding musical note notations. The musical octaves and corresponding musical note notations are stored into the digital memory of the digital musical instrument, and the instrument's native musical note mappings are remapped to the musical octaves and corresponding musical note notations from the digital file.