06-G선상의 아리아
07/11/16 07:38
Chap. 6 G선 상의 아리아
Air on the G-String
Bach, Johann Sebastian, is one of the greatest composers of all time. His music combines profound expression with clever musico-mathematical feats, like fugues and cannons in which the same melody is played against itself in various ways. In this chapter, let us think about the sound played in the ‘Air on the G string’, how it works and what it implies in terms of physics.
Useful Links and Further Reading:
- How Sound Waves Work - http://www.mediacollege.com/audio/01/sound-waves.html
- UCSC Electronic Music Studios, Tech Essays - http://artsites.ucsc.edu/ems/music/tech_background/tech_background.html
- How the ear works (YouTube) - http://www.youtube.com/watch?v=ahCbGjasm_E
- Cochlea Model (YouTube) - http://www.youtube.com/watch?v=HgZURbqJPUo&feature=fvwrel
- How Sound is Transferred to the Inner Ear (YouTube) - http://www.youtube.com/watch?v=L4F4zaRqQdk&feature=related
- How We Hear Different Pitches (YouTube) - http://www.youtube.com/watch?v=Id-LO_7e9BI&feature=relmfu
- Vibration, from Wikipedia - http://en.wikipedia.org/wiki/Vibration
- MIT Physics Lecture: Vibrations and Waves - http://ocw.mit.edu/courses/physics/8-03-physics-iii-vibrations-and-waves-fall-2004/video-lectures/
- Simple Harmonic Motion - http://www.youtube.com/watch?v=SZ541Luq4nE
- Standing Wave - http://www.youtube.com/watch?v=_S7-PDF6Vzc
- Fourier series, from Wikipedia - http://en.wikipedia.org/wiki/Fourier_series
- Fourier Methods - http://www.arachnoid.com/sage/fourier.html
- MIT Lectures - Introduction to Fourier Series; Basic Formulas for Period 2(pi) - http://videolectures.net/mit1803s06_mattuck_lec15/
- MIT Lectures - Continuation: More General Periods; Even and Odd Functions; Periodic Extension - http://videolectures.net/mit1803s06_mattuck_lec16/
Suggested Questions
- Why do things vibrate?
- What is sound and how does it travel?
- How is the sine wave connected to a circular motion?
- Why do waves interfere each other?
- What is a Fourier series?
- How is music stored in the mp3 file?
- 순정음과 평균율의 차이는 무엇인가? 평균율을 도입하게된 이유는?
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