A tool for determining tempo changes based on rhythmic ratios allows musicians to smoothly transition between contrasting meters. For example, if a piece is in 4/4 time at 120 beats per minute, and the composer wants to modulate to 3/4 time, this tool can calculate the appropriate tempo for 3/4 to maintain a consistent pulse subdivision. One might decide that the eighth notes should remain constant, resulting in a new tempo of 160 beats per minute in 3/4.
This technique facilitates seamless transitions that avoid jarring disruptions in the musical flow. Composers throughout the 20th and 21st centuries, particularly those working with complex rhythmic structures, have employed this method to create dynamic and engaging musical experiences. Its application extends beyond contemporary classical music to jazz, progressive rock, and electronic music, enriching rhythmic vocabulary and offering exciting possibilities for rhythmic development.