Eight is a Gate

Part I:

December 2002

Part II:

Epiphany 2008

How the eightfold cube works
This figure is related to
the mathematics of
reflection groups.


Part III:

“The capacity of music to operate simultaneously along horizontal and vertical axes, to proceed simultaneously in opposite directions (as in inverse canons), may well constitute the nearest that men and women can come to absolute freedom.  Music does ‘keep time’ for itself and for us.”

— George Steiner in Grammars of Creation

Inverse Canon —

From Werner Icking Music Archive:

Bach, Fourteen Canons
on the First Eight Notes
of the Goldberg Ground,
No. 11 —

Bach, 14 Canons on the Goldberg Ground, Canon 11
Click to enlarge.

Play midi of Canon 11.

At a different site —
an mp3 of the 14 canons.

Part IV:

That Crown of Thorns,
by Timothy A. Smith