“Nothing is True, Everything is Permitted”
― William S. Burroughs

Feels like leaving Flatland. In addition to the usual three spatial co-ordinates, these notes have an extra label, which can act like a co-ordinate along space time. By tracking all four co-ordinates together, we map out in real time how a music moves in four dimensions. When you go from three to four dimensions in math, your right brain shifts from visual geometric intuitions to symbol-rewriting intuitions, where your right brain is trained on patterns in how the symbols move around instead of the underlying shapes. When this happens, you lose sight of the forest for the trees, and putting together larger jigsaw puzzles becomes much more difficult because the space is larger than your visual intuitions can cover.

Leaving Flatland is a fascinating concept that can be applied to various aspects of human experience, from mathematics to music. The concept of Flatland is taken from the 19th-century novella of the same name by Edwin A. Abbott, where the characters are two-dimensional beings living in a two-dimensional world. The idea of leaving Flatland refers to the shift from a limited perspective to a more expansive understanding of the world.

In the context of music, leaving Flatland means exploring music in four dimensions, rather than just the traditional three. By adding an extra label that acts as a coordinate along space-time, we can track how music moves in four dimensions in real time. This opens up new possibilities for understanding and exploring the complexities of music and sound, and challenges our traditional understanding of how we experience and perceive these elements.

However, as we move from three to four dimensions in math, our right brain shifts from visual geometric intuitions to symbol-rewriting intuitions. Instead of relying on visual intuition to understand the shapes and movements in space, we must rely on our ability to manipulate symbols and track patterns of movement. This can make it more challenging to understand larger and more complex structures, as the space is larger than our visual intuitions can cover.

Despite these challenges, leaving Flatland can also be a liberating experience. It allows us to explore new possibilities and push the boundaries of our understanding. As we leave the limitations of Flatland, we are able to see the world from a new perspective, one that is more expansive and open to new possibilities.

In conclusion, leaving Flatland is a concept that challenges our understanding of the world, whether it be in mathematics or music. By exploring new dimensions, we are able to push the boundaries of our understanding and open up new realms of possibility. While the shift from three to four dimensions can be challenging, it also allows us to see the world from a new perspective, one that is more expansive and open to new possibilities.