The Distance Geometry of Deep Rhythms and Scales (2008)
Erik D. Demaine, Francisco Gomez-martin, Henk Meijer, Perouz Taslakian, Godfried T. Toussaint, Terry Winograd, ...
Abstract We characterize which sets of k points chosen from n points spaced evenly around a circle have the property that, for each i = 1, 2,..., k − 1, there is a nonzero distance along the circle...
The Distance Geometry of Deep Rhythms and Scales (2008)
Erik Demaine Francisco, Francisco Gomez-martin, Henk Meijer, Perouz Taslakian, Godfried T. Toussaint, Terry Winograd, ...
We characterize which sets of k points chosen from n points spaced evenly around a circle have the property that, for each i = 1, 2, . . . , k 1, there is a nonzero distance along the circle that...
The Distance Geometry of Music (2007)
Demaine, Erik D., Gomez-Martin, Francisco, Meijer, Henk, Rappaport, David, Taslakian, Perouz, Toussaint, Godfried T., ...
We demonstrate relationships between the classic Euclidean algorithm and many other fields of study, particularly in the context of music and distance geometry. Specifically, we show how the...