How can harmony be explained by mathematics?
More generally, we will speak ofharmony between two notes when the ratio of their frequency is “simple”: a natural integer or a “simple” fraction of natural integers. Definition: When the interval between two sounds is equal to 2, it is called an octave.
With the note departure and his fifthwe now have two grades different whosound good» whole. To build new gradesso just look for the fifth next from note that we just found. These two grades will also sound harmonious.
Music: a story of proportion. A bit of theory… As early as Antiquity, Pythagoras managed to mathematically calculate the sound ratios of the most harmonious musical intervals. The interval between two notes is measured by calculating the frequency ratio between the highest note and the lowest note.
It was composed between 17 and illustrates in a remarkable way how the art of musical writing can be explained by mathematics. The fugue is a musical form where different parts take up the same motif.
Bartok was a composer fascinated by mathematics and by the forms that can be found in nature, such as the spirals of snail shells or the rows of a pine cone.
Whether it makes us soar, vibrate or grumble, music is made up of series of notes or sounds that have mathematics as their foundation. (The length of an object is the distance between its two furthest extremities…)