ALEXANDER MAGAZINETM

2001 Christmas Issue

VOL II - ISSUE 8 - December 24, 2001

New Year 2002 Issue

Fundamental & Harmonic Frequencies

BY BOB DENNIS

Completely understanding fundamental & harmonic frequencies allows you to know where to place microphones and allows you to really understand the use of equalization.
This 4 minute video clip has been shown to hundreds of recording classes since it was produced in 1985.  It has always seemed to really help students get a good understanding of this essential basic subject.

The screen captures shown below tell the story.  You can also use the link below to download a higher-quality copy of the audio track.  - Bob

Screen Capture #1 shows a sine wave of 110 Hz - The fundamental frequency of the A string on a guitar.

Screen Capture #2 shows the waveform of an electric guitar playing an open A (The A string without any fretting).

Screen Capture #3 shows that the electric guitar wave still generally follows the sine wave shape, but with added bumps caused by the harmonics.

Screen Capture #4 shows the waveform of an acoustic guitar playing an open A.  It looks quite different than the electric guitar waveform.

Screen Capture #5 shows that the acoustic guitar wave also follows the sine wave shape, but the bumps caused by the harmonics are smaller.

Screen Capture #6 shows the waveform of an acoustic piano playing the same A.  It looks quite different than either of the guitar waveforms.

Screen Capture #7 shows that the acoustic piano wave follows the sine wave shape too, but has more bumps because of more harmonics..

Screen Captures #8 and #9 show that the waveform of an acoustic guitar miced over the bridge has the deepest bumps, indicating the loudest harmonic content. Theory tells us that placing the mic over the bridge accents harmonics.

Screen Captures #10 and #11 show that the waveform of an acoustic guitar miced over the hole has the smallest bumps, indicating the softest harmonic content. Theory tells us that placing the mic over the hole accents fundamentals.

Please note that videos playing at a bit rate of 56 K bits/sec do not have the best audio quality.  For this reason we also made a CD-quality downloadable MP3 audio file where you can hear the differences in mic placement better. Here is the link to download it.

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Copyright © 2001 by Robert Dennis - ALL RIGHTS RESERVED.

Published in Recording Engineer's Quarterly and Alexander magazines with permission

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