1. L 12 Fourier Synthesis, Fourier Analysis, and String Instruments

3. Fourier Synthesis Demo- PhET (Physics,Fourier)

6. library.thinkquest.org/19537 add f 3,f 5,f 7,f 9 to hear f 1, a false fundamental

7. Fourier Analysis Demo- Raven-Lite

8. Analysis of Swirling Tube (open at both ends)

11. Demo- Fourier Analyze the whirly tube, the human voice, and an instrument

12. For the whirly tube, f 1 = v/λ If the tube length L is 1 m, then f 1 =v/2L =344/2= 177Hz f 2 = 2f= 344 Hz, f 3 = 3 f 1 = 531 Hz f 4 =4f 1 =708 Hz, etc. Compare to measurements…

13. Symphony Instruments Go to dsokids.com then click on one of the books called Instruments

14. String Instruments

19. Resonance

21. Demo Tuning Fork on Table, on Resonator

43. A string on an instrument plays an A (440 Hz) when plucked. If you put your finger down one half of the way along the string, and then pluck, you are mostly likely to hear … A: Still 440 Hz B: 220 Hz C: 880 Hz D: Something entirely different ct.10.1.10a

44. A string on an instrument plays an A (440 Hz) and a number of higher harmonics when plucked. If you put your finger down one half of the way along the string after it has been plucked, you are mostly likely to hear … A: Still 440 Hz B: 220 Hz C: 880 Hz D: Something entirely different ct.10.1.10a

45. A string on an instrument plays an A (440 Hz) when plucked. If you put your finger down hard (pushing the string to the fret), one third of the way along the string, and then pluck the longer side, you are mostly likely to hear … A: 3*440Hz B: (1/3)*440 Hz C: 3/2 * 440 Hz D: 2/3 * 440 Hz E: Something entirely different ct.10.1.10b2

46. Electric guitars can have several pickups to detect string motion. You can flip a switch to activate single pickups or combos. Which pickup would you activate to make your music sound “crisper” (i.e. pick up more of the higher pitch frequencies?) A. B.B. C. D. Some combo / no diff 10.1.10c