WordNet sense 1 (a function of a topological space that gives, for any two points in the space, a value equal to the distance between them):

metric function

WordNet sense 2 (a decimal unit of measurement of the metric system (based on meters and kilograms and seconds)):

metric unit

WordNet sense 3 (a system of related measures that facilitates the quantification of some particular characteristic):

system of measurement

WordNet sense 4 (based on the meter as a standard of measurement):

metrical

WordNet sense 5 (the rhythmic arrangement of syllables):

measured

WordNet sense 6 (recurring with measured regularity):

rhythmical