John:
As you know, meter measures something: syllables, alliterations, stresses/beats (accentual), feet (accentual-syllabic), et cetera.
An example of accentual [di]meter is Elizabeth Bishop's "
Sonnet 1979".
An example of accentual heterometer (in this example, trimeter alternating with monometer) is W.C. Williams' "
The Red Wheelbarrow".
An example of accentual-syllabic meter, along with most of the verse written in the last 8+ centuries, is Shakespeare's iambic pentameter "
Sonnet LXXIII".
Examples of accentual-syllabic heterometer include "
Amazing Grace" (iambic tetrameter alternating with trimeter, also called "common" meter) and T.S. Eliot's "
The Love Song of J. Alfred Prufrock" (iambic trimeter, tetrameter, pentameter, heptameter, with anacrusis).
HTH,
Colin