Music is not two dimensional at all for sure...
But musical time is two dimensional... vertical pulsative dimension and metronomical horizontal dimension... Physical time had only one direction : from past to future...
In musical time you may create a metronomical dimension which go from beginning to end.. And stay and live there... But there is a direction from pulsative origin in the vertical dimension toward the horizontal physically measurable dimension as a destination and the reverse two ...The road between horizontal and vertical is two-way...
jazz was invented by poor people looking not for a purely physical horizontal time ALREADY KNOWN dimension but looking for a vertical new pulsative dimension which must be FELT as an origin and a new road now toward a new destination in the horizontal time dimension ...
Celibidache imposed as Toscannini a metronomical time but unlike Toscanni which goal was TOTAL METRONOMICAL CONTROL with his will power, Celibidache looked for a the vertical origin of musical time in the pulsative dimension, but to do so he mustIMPOSED a slow metronomical time over his musician playing by force as Toscanni.. But his goal unlike Toscanini was never a complete mastering and domination of the orchestra for the sake of it, but to look for the spiritual origin of music in SILENCE in the pulsative verticas dimension as source...He is a dictator as Toscanini... But not with the same musical agenda...
Furtwangler was not like these two a dictator, but someone taking the musicians with him to listen the music in the act of playing it, to manifest the source of vertical time in the playing itself manifested in the horizontal measurable dimension of time...The measurable time dimension is the destination of F. but for C. it ishis point of departure toward the vertical silent origin in the vertical pulsative dimension the non measurable one...
Then Furtwangler and Celibidache are "racemic isomer" in a different way the two of them...Toscanini is not... This is why nobody will never surpass Toscanini in his his road with his bending of time dimension reduced to one direction only, under his iron will... ...
I had read your previous posts on Celi but I was wondering if you could fit into the context of the present discussion. I do like your analogy of Celi being sort of of the racemic isomer, to use a biochemical term, of Toscanini ; in two dimensions they are similar, but since music is more than two dimensional, they arrive at completely different results.