(His discovery was the relationship of certain pitch intervals to numerical ratios.)

Resonance happens when any two periods have a simple numerical ratio.

Thus, when designing the glass windows, numerical ratios corresponding to music were applied.

Examining the validity of numerical ratios in loudness fractionation.

No specific criteria were set up for the selection of the individual works in the show as long as this numerical ratio was maintained.

"harmony") - numerical ratios in mathematics.

After conducting a valiant defense, the 18th Division was overwhelmed by the 6:1 numerical ratio, and the communists encircled Saigon.

Within the box it is possible to describe slopes and turns as numerical ratios, as tangents.

But because enlargement reverses the numerical ratio, it forces us to raise the question of the institutions in such stark terms.

The work marks Mr. Cage's first dippings into Eastern philosophies and are organized along very conscious symmetries and numerical ratios.