Solution:
A rhythmic pulse that accents every other beat is demonstrating a rhythmic meter.
It can make Cage and many of his avant-garde cohorts were trying to redefine our culture's definition of music, but most people, then and now, persist in having very definite ideas about what "making musical sense" entails; there is a consensus that musical rhythm distinguishes itself from the random rhythms of ambient sound by creating a regular beat, by making us aware that time is passing by in discrete ticks or pulses.