This volume explores a unique intersection of mathematics and guitar theory through visual interval mapping and fretboard geometry.

Using the Stern–Brocot tree as an underlying structural model, the book presents a series of extended scale forms (“Mikescales”) and branching diagram systems that organize chromatic and modal relationships in a clear, repeatable way.

A featured element is the “Xmas Tree” layout: a visual framework that shows how interval families expand, connect, and transform across the instrument.

Designed for curious guitarists, composers, and pattern-minded musicians, this book functions as both a conceptual atlas and a practical reference—linking number-based structure with playable musical shapes.