Researchers have invented an algorithm that produces a real-time portamento effect, gliding a note at one pitch into a note of another pitch, between any two audio signals, such as a piano note ...
Jami Jorgensen is the human jukebox of quadratic equations. “Anything that’s an algorithm, I have a song for it,” said the energetic middle-school math teacher in Hayward Unified, in the east Bay Area ...
A crucial link between mathematics and music is nicely illustrated by the Tonnetz, a geometric diagram representing the harmonic relationships between the notes of the musical scale. An early version ...
If music’s relationship to mathematics were purely numerical, purely a matter of counting and calculating, interest in this field could easily be consigned to the dusty ponderings of academics and ...
I used to do a lot of counting as a trumpeter in my local youth orchestra. Sitting in the brass section, counting out rests so I didn’t crash in early with a fanfare, I began to realise that ...
It’s hard for anyone to say what music looks like, but a new mathematical approach sees classical music as cone-shaped and jazz as pyramid-like. The connections between math and music are many, from ...
His 6th-century-BCE experiments of plucking stretched strings of different lengths reportedly led him to stumble upon the harmonious connection between frequencies and their ratios. Certain simple ...
Music is all emotion, right? For some it's a calculated, mathematical puzzle. We've used math to explain music and sound for thousands of years. Pythagoras said numbers ruled the universe. But he was ...