It is well known that Pythagoras' belief in the significance of numbers was supported by his alleged discovery, with the aid of a stringed instrument, that the concordant intervals of the musical scale correspond to simple numerical ratios.

A generated collection for which a single generic interval corresponds to the single generator or interval cycle used is a MOS or well formed generated collection.

(Referring to the boom-and-bust cycles of 19th-century America, John Kenneth Galbraith said that the intervals between panics corresponded roughly with the time it took people to forget the last disaster.)

Each such interval corresponds to a square in the quadtree.

By ordering the solids correctly-octahedron, icosahedron, dodecahedron, tetrahedron, cube-Kepler found that the spheres could be placed at intervals corresponding (within the accuracy limits of available astronomical observations) to the relative sizes of each planet's path, assuming the planets circle the Sun.

But this can only be the case if the intervals between the scale points correspond to empirical observations in a metric sense.

The interval corresponds exactly to the fluctuation range for the stage .

Generally, an interval in mathematics corresponds to an ordered pair (x,y) taken from the direct product R x R of real numbers with itself.

In just intonation, every interval between two pitches corresponds to a whole number ratio between their frequencies.

The interval between the two medial bands corresponds with the depression, called the philtrum, seen on the lip beneath the septum of the nose.