Films · Mathematics · Fourier analysis
Prof. Dr. Dirk Schieborn
Lecture Mathematics 2 for Industrial Engineering · Reutlingen University
Fourier · Episode 5
Why the clarinet sounds hollow
Fourier · Episode 5
Why the clarinet sounds hollow
Prof. Dr. Dirk Schieborn
Lecture Mathematics 2 for Industrial Engineering · Reutlingen University
The shape gives away the spectrum before you calculate: odd curves only sine, even ones only cosine. If the second half is upside down, all even overtones are missing. You hear that as a hollow sound.
heyprof.app/f/fourier-geige-5
More films: Signature · Prof. Dr. Dirk Schieborn
We store questions without any link to you; selected ones appear anonymously as frequent questions.
Series · Episode 5 of 7
Why the clarinet sounds hollow
Prof. Dr. Dirk SchiebornLecture Mathematics 2 for Industrial Engineering · Reutlingen UniversityOdd curves contain only sines, even curves only cosines, half-wave symmetric curves only odd overtones. That is why the clarinet sounds hollow.
How a film works on heyprof
Every film here listens. Pause it, ask it questions and let it continue with your own examples.
- PauseTap pause or press the space bar. The film waits right at that moment.
- AskTap “Ask” and type what you want to know. The answer comes inside the film, with picture and voice.
- Steer itTell it what to show, for example “Do this with z = 2 − 3i”. The film sets up the app and works it out.
- Try it yourselfWhile it is paused, drag points and sliders yourself. “Continue” takes you back into the film.
Without an account: five questions per visit. With an account you can also ask by voice.
Comments