An introduction to neo-Riemannian theory (11) Today, more about the math one may find behind rhythms and their transformations ! I got rhythm…. In the previous post, we’ve introduced a group of Continue reading →

An introduction to neo-Riemannian theory (10) Back to music and mathematics, but with a change as today we will not talk about chords. Instead, I propose Continue reading →

An introduction to neo-Riemannian theory (9) Less math and more music ! Today I’ll talk about an application of neo-Riemannian theory, namely the Tonnetz. Originally, the Continue reading →

An introduction to neo-Riemannian theory (8) I have left something unfinished in the previous post, namely contextual actions, so it’s time to talk about it. Last Continue reading →

An introduction to neo-Riemannian theory (7) The PLR group was the last thing we studied regarding the possible (simply transitive) actions on the set of the Continue reading →

An introduction to neo-Riemannian theory (6) The previous post introduced the group of transpositions and inversions, often notated as the T/I group, which acts simply transitively Continue reading →

An introduction to neo-Riemannian theory (5) I have introduced before the notion of Generalized Interval System (GIS) (and its mathematical aspect), an I’ve promised I would introduce Continue reading →

An introduction to neo-Riemannian theory (4) In my previous post, I promised we would look at a Generalized Interval System (GIS) for chords, but I’d like Continue reading →

An introduction to neo-Riemannian theory (3) In the previous posts (here and here), we have seen some examples of groups that can arise in music theory. Continue reading →

An introduction to neo-Riemannian theory (2) In our last post, we have seen that mathematical groups arise quite naturally in music. Today, I’d like to go Continue reading →