Infinite Canons is an ongoing series of canons with infinite solutions. More specifically, each canon is based on a melodic line that can be combined in any number of voices, in any tempo ratios (rational or irrational), and with each voice moving either forward or backward through the line, while maintain harmonic consistency.

Below are a few suggestive realizations of two different infinite canons. Soon to come is an interactive program that allows users to explore an unlimited number of realizations of these pieces.

Canon 1

Canon 1 line



3:2
Canon 1, 3:2



π:e:1
Canon 1, π:<i>e</i>:1
Canon 1, π:<i>e</i>:1



retrograde inversion
Canon 1 by retrograde inversion



Canon 2

Canon 2 line



1:2:4
Canon 2, 1:2:4



2:3
Canon 2, 2:3



5:7
Canon 2. 5:7

 

The underlyling structure of Infinite Canons

Clifton Callender
Infinite Canons