Physical Sciences and Mathematics Commons^™

Mathematical Structure Of Musical Tuning Systems, Shay Joel Francis Spitzer

Senior Projects Spring 2023

Over the course of history, western music has created a unique mathematical problem for itself. From acoustics, we know that two notes sound good together when they are related by simple ratios consisting of low primes. The problem arises when we try to build a finite set of pitches, like the 12 notes on a piano, that are all related by such ratios. We approach the problem by laying out definitions and axioms that seek to identify and generalize desirable properties. We can then apply these ideas to a broadened algebraic framework. Rings in which low prime integers can be …

A New Way To Make Music: Processing Digital Audio In Virtual Reality, Gavin E. Payne

Senior Projects Spring 2022

The work of this project attempts to provide new methods of creating music with technology. The product, Fields, is a functional piece of virtual reality software, providing users an immersive and interactive set of tools used to build and design instruments in a modular manner. Each virtual tool is analogous to musical hardware such as guitar pedals, synthesizers, or samplers, and can be thought of as an effect or instrument on its own. Specific configurations of these virtual audio effects can then be played to produce music, and then even saved by the user to load up and play with …

The Impact Of Live Coding Within An Educational And Performance Setting, Alexus Renee Foster

Senior Projects Spring 2020

For the past three semesters at Bard, live coding has become my newest form of creative expression and performance. This method of coding involves either creating on the spot from scratch or editing pre-existing code in a real time manner. There is no real set structure or steps that must be followed, however, one rule must always be followed: show your code. In the classroom, live coding occurs when the professor demonstrates some algorithm by displaying the program on a projector for the entire class to observe. During musical performances, the same improvisational nature of live coding is also present, …

Algorithmic Music Composition And Accompaniment Using Neural Networks, Daniel Wilton Risdon

Senior Projects Spring 2016

The goal of this project was to use neural networks as a tool for live music performance. Specifically, the intention was to adapt a preexisting neural network code library to work in Max, a visual programming language commonly used to create instruments and effects for electronic music and audio processing. This was done using ConvNetJS, a JavaScript library created by Andrej Karpathy.

Several neural network models were trained using a range of different training data, including music from various genres. The resulting neural network-based instruments were used to play brief pieces of music, which they used as input to create …