Mathematics of the MML functional quantizer modules for VCV Rack software synthesizer
Maxwell Schneider, Cody McCarthy, Michael G. Maxwell, Joshua Pfeffer, Robert Schneider, Andrew V. Sills
TL;DR
The mathematical formulation of the line of "functional quantizer" modules developed by the MML at Michigan Technological University, for the VCV Rack software modular synthesizer platform, which allow synthesizer players to tune oscillators to new musical scales based on mathematical functions are detailed.
Abstract
We detail the mathematical formulation of the line of "functional quantizer" modules developed by the Mathematics and Music Lab (MML) at Michigan Technological University, for the VCV Rack software modular synthesizer platform, which allow synthesizer players to tune oscillators to new musical scales based on mathematical functions. For example, we describe the recently-released MML Logarithmic Quantizer (LOG QNT) module that tunes synthesizer oscillators to the non-Pythagorean musical scale introduced by indie band The Apples in Stereo.