Review:• Scales• Steps• IntervalsNew Stuff:• Harmonics• Complex Waveforms• Real soundsC majorECD FGABWhole stepHalf stepC majorWHWWWWHMajor StepPatternCT 14.1) What’s the third note in theD major scale?WHWWWWHMajor StepPatterna) Fb) F#c) Bd) CC majorWHWWWWHC minorWWHWHWWIntervals4 half steps is a major 3rd7 half steps is a perfect 5thCT 14.25 half steps is a(n)...a) major 2ndb) major 3rdc) perfect 4thb) octave• The names of the intervals and the number of half steps (AKA semitones) within each interval are listed in Table 7.2Hints for Homework• The notes in the text are written with subscripts (e.g. A1, C4, G6) to indicate the octave:G3C4A4B4F3middle CD4C5D5B5• Table in back of text lists frequenciesG4A5HarmonicsPlucked stringhas many modesof vibrationHarmonics1stharmonic2ndharmonicHarmonics1stharmonic2ndharmonicActs like a string with ½ the length⇒ Twice the frequencyHarmonics3rdharmonic4thharmonic5thharmonic2ndharmonic1stharmonicHarmonics3 x f4 x f5 x f2 x ffCT 14.3) If the frequency of the 1stharmonic is 110 Hz, what is the frequency of the 3rdharmonic?a) 112 Hzb) 113 Hzc) 220 Hzd) 330 HzCT 14.4) Which harmonic is the octave of the 1stharmonic?a) 2ndb) 3rdc) 4thd) 5thCT 14.4) Which harmonic is the octave of the 2ndharmonic?a) 3rdb) 4thc) 5thd) 6th• http://www.colorado.edu/physics/phet/web-page/simulations-base.html• Timbre depends on harmonic contentReal Sounds• Sound analyzer demo with acoustic guitar(11 kHz, f > 60 Hz, start w/ bars =>change to scroll to compare harmonics =>Lissajous PatternsShow:• unison• octave• 3rd harmonic• perfect
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