Heptatonic alterations

Back in February I posted about granular modulation. Since then I have developed a more general method for enumerating the possible alterations of common heptatonic scales. The results are presented in a series of tables. The first table gives the options for altering a single scale tone, the second table gives the options for altering two scale tones, and so on, up to the limit of six alterations. Only four scales are considered (major, melodic minor, harmonic major, harmonic minor) for reasons that are explained in the original article. The tables are HERE.