1. Beats and Music Contents: Beats Overtones and music

2. Beats TOC Two different pitches played together interfere: f beat = |f 1 - f 2 | Demo - pennywhistle, big pipes on burners

3. Beats 11 | 22 TOC

4. f beat = |f 1 - f 2 | f beat = |640 - 1024| = 384 Hz This is a g in the octave below the e 384 Hz W What beats do you hear if you play an e 640 Hz with a c 1024 Hz?

5. f = 1/T = 1/.20 s = 5.0 Hz f beat = |f 1 - f 2 | 5.0 Hz = | f 1 - 440.0| f 1 = 445.0 or 435.0 Hz 445.0 Hz or 435.0 Hz W The concertmaster is playing an A 440.0 Hz. Another violin hears a beat every.20 seconds. What frequency are they playing?

6. Music 101 TOC Most instruments use standing waves String and wind instruments follow overtone series: C 1 1f 1 C 2 2f 1 G 2 3f 1 C 3 4f 1 E 3 5f 1 G 3 6f 1 B flat 7f 1 C 4 8f 1 Octave = 2 x frequency Play Taps Harmony - Beats are consonant Sing E 3 +C 4 = 5 and 8, hear 3 Dale Warland and the undertones Demo with beats and laser