‘Music’ is the sum of vibrations created by an intelligence. ‘Theory’ is the evaluation of the bonds between these vibrations.This book proposes a new theoretical model, Tritonet, that provides a unique approach to music theory by reintroducing the ‘Circle of Fifths’. It offers additional components that turn the circle into a musical calculator, which can be used to construct musical structures visually.Inspired by a three thousand year-old tablet, the book pays homage to past and present music, while looking towards the future with ‘ResTens’ (modular voice leading) and ‘Cyclic Music’ (tonality cycles).Tritonet also comes with a smart device app which allows one to listen, observe and develop intelligence for ‘Harmony’.