Apr 2014
06-G선상의 아리아
20/04/14 20:57
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/
Homework Assignment: 4/29 (화) - 강의시간에 제출
- Chap.6 강의와 Reading Assignment에 대한 보고서 제출. (Reference에 주어진 짧은 보고서 양식을 참고)
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?
Comments
05-시간의 역사
06/04/14 15:02
Chap. 5 시간의 역사
Time in Physics
“Time in physics is defined by its measurement: time is what a clock reads. It is a scalar quantity and, like length, mass, and charge, is usually described as a fundamental quantity. Time can be combined mathematically with other physical quantities to derive other concepts such as motion, kinetic energy and time-dependent fields. Timekeeping is a complex of technological and scientific issues, and part of the foundation of recordkeeping.”
— From Wikipedia http://en.wikipedia.org/wiki/Time_in_physics#Regularities_in_nature
• 강의록: 05-시간의 역사
Useful Links and Further Reading:
- Time in Art – http://library.thinkquest.org/06aug/01010/art.html and references therein.
- Special Relativity: What Time is it? by Michael Fowler – http://galileoandeinstein.physics.virginia.edu/lectures/srelwhat.html
- Light clock – http://galileoandeinstein.physics.virginia.edu/more_stuff/flashlets/lightclock.swf
- MIT Open Courseware: Measurements of Space and Time, by Walter Lewin - MIT - http://www.cosmolearning.com/video-lectures/measurements-of-space-and-time/
- MIT Open Courseware: Lecture 35: Doppler Effect and The Big Bang by Walter Lewin –http://www.youtube.com/watch?v=rQ2kUpeDly0
- The twin paradox: Is the symmetry of time dilation paradoxical? – http://www.phys.unsw.edu.au/einsteinlight/jw/module4_twin_paradox.htm
- TED Lecture - The fundamentals of space-time: Part 1 - Andrew Pontzen - http://www.youtube.com/watch?v=ScdLqAA_64E
Homework Assignment : 4/15 (화) - 강의시간에 제출
- Chap.5 강의와 Reading Assignment에 대한 보고서 제출. (Reference에 주어진 짧은 보고서 양식을 참고)
Suggested Questions
- 예술가의 음악, 미술 작품 속에 표현된 시간의 개념과 과학적 시간의 개념은 얼마나 다른 것일까?
- 시간의 시작점은 존재하는 것일까? 강의에서 언급된 논점을 비판적으로 생각해 본다면?
- 휘어진 공간과 느리게 가는 시간은 우리의 ’직관’과 어떤 면에서 배치되는가?
- ‘빛으로 가는 시계’ 보다 더 “좋은” 시계를 찾을 수 있을까? 다른 종류의 시계의 장단점을 논의해 보자.