RECORDING TECHNIQUES ARTICLE
March 11, 2004
"GETTING IN THE BIZ" ISSUE

Quality EQ
PART 1

By Robert Dennis,
Administrator, Recording Institute of Detroit

NOTE:  THIS IS AN ADVANCED LEVEL ARTICLE
IF YOU ARE UNFAMILIAR WITH THE BASICS OF EQUALIZATION, READ THESE ARTICLES FIRST

Equalization
    
We've talked a lot about equalization.  Equalization is defined as increasing or decreasing the gain of a band of frequencies.  As an example, many library and recommended settings suggest that you can boost 3 kHz to increase the attack of an electric guitar.
     3 kHz is in the middle of the "upper mid-range" frequencies of human hearing that is approximately 2 kHz - 4 kHz.  Boosting this octave tends to make many instruments "sharper" or have more "projection" or "attack."  It's a human hearing thing.

Quality Equalization
     I define Quality equalization as boosting the correct set of harmonic frequencies on an instrument to achieve a desired tone quality change in the instrument.  The difference is you are taking into account the frequencies actually being generated by the instrument.  This allows you to gain the desired effect (more "attack") while maintaining even tone and natural sound of the instrument as much as possible.   For instance, its quite possible to boost 3 kHz on a guitar to get more attack, but as an unwanted side effect, get the instrument sounding "uneven" as it plays different notes.
     Figure 1, below, shows that the octave containing 3 kHz would be approximately boosting the 5th harmonic of the pitches being played by the guitar doing a typical rhythm part.

Figure 1 - Fifth Octave of the Guitar

Quality Factor
    
The quality factor ("Q") in equalization defines the sharpness of the band of frequencies that are affected by the EQ.  The term comes from the days when "reactive elements" were commonly used to make the equalizer have a center frequency that was boosted or cut more than any other audio frequency.  How "pure" this reactance was (it's "quality factor") determined how sharply the circuit "tunes" to just one frequency, thus a higher "Q" meant the equalizer affected less frequencies.  Figure 2 below shows how the "Q" parameter in EQ adjusts the amount of frequencies around the center frequency which are being boosted or cut by a similar amount as the center frequency.

Figure 2 - The Q and bandwidth

Q=0.7=BW of 2 octaves

Q=1.4=BW of 1 octave

Q=1.0=BW of 1.33 octaves

Q=2.0=BW of 0.67 octaves

The Correct Bandwidth For Quality EQ
     When we think of EQ in terms of the harmonics boosted, we think of the bandwidth that we need.  We set the bandwidth wit the "Q" control and must be able to relate Q settings to specific bandwidths, as shown in figure 2.
     To accent one set of harmonics (like the fifth harmonic in a guitar) with our equalizer, we would need a bandwidth of one octave.  As long as the pitches played by the instrument were all in one octave, it would accent all of the notes in the musical part with a similar tone change. The rhythm guitar (and even a melody guitar) in most popular productions only plays notes within a one octave span.  Thus a Q value of 1.4 would be a good "recommended" or default Q value in an EQ library program designed to accent a guitar's sharpness.

Tuning The Bandwidth

     Sometimes there is a good reason to alter the bandwidth used in the equalization. When accenting the guitar attack in a tune with 3 guitars, we must be careful not to use a similar center frequency on each each guitar to prevent masking problems.  In this case, we would want to narrow the bandwidth as we use different center frequencies for the different guitars' equalization. How much we can narrow this bandwidth, while retaining an even boost of tone, depends on the pitch range played by the guitar that we are equalizing. 
     In a rock guitar progression of CFG, the rhythm or "backbeat" guitar often just sounds the chords according to the chord progression.  Since the range of pitches between C and G in the same octave spans less than 2/3 of an octave, a cue of 2.0 (2/3 octave bandwidth).  Most often the "voicing" of the chords is such that the range of pitches played is even less than that, meaning that a cue of 2.8 (half an octave) works well for a rhythm guitar.
     On the other hand, some melody guitar lines can exceed a range of one octave.  This is especially true for the lead guitar parts.  In this case, increasing the bandwidth to 1 1/3 octaves (Q=1.0) is needed.  When equalizing choir, background vocals and string orchestration parts, the range of pitches is even greater, and it may require a Q setting as low at 0.7 (2 octaves).

Tuning The Center Pitch
     In most cases a default EQ library setting of Q-1.4 works for increasing the attack of a guitar even though different tunes, in different keys, operate over a different range of pitches.  When you, however, use sharper bandwidths (higher Q settings), changing the center frequency can get better results.  In the case of the guitar, the center frequency could be "tuned" between 2500 Hz and 4000 Hz to give the best results for the particular tune that you are mixing.

 

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