From: "Saved by Internet Explorer 11" Subject: Parametric EQ Date: Wed, 2 Sep 2015 14:23:39 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01D0E58A.F6271B70" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01D0E58A.F6271B70 Content-Type: text/html; charset="utf-8" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.astralsound.com/parametric_eq.htm =EF=BB=BF Parametric EQ=20 =20 =20 =20 =20 =20 =20 =20 =20 =20
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Home = =E2=96=BA PA Basics=20 =E2=96=BA Equipment Gu= ide =E2=96=BA=20 Processors = =E2=96=BA=20 Parametric EQ

Parametric EQ

A Guide to Parametric Equalisers in Live = Sound

EQ Parameters

Parametric EQ is so-called because it has controls to adjust all the=20 parameters of tone-shaping. These are:

Frequency

The central frequency of the envelope in which the signal is boosted = or=20 cut.

Bandwidth

Q* (see=20 below) is a relation of Bandwidth. The number of octaves (or fractions = of an=20 octave) over which the signal is affected by boosting or cutting.

In EQ circuits bandwidth and Q describe the same = thing, but=20 use different (and inverse) scales: the higher the Q, the lower the = bandwidth,=20 and vice versa. The range of possible adjustment can run from about 1/60 = octave=20 (Q =E2=89=88 90) to about 3 octaves (Q =E2=89=88 0.4).

Bandwidth is derived from the points on the EQ = curve that=20 are 3dB above or below the amount by which the central frequency has = been cut or=20 boosted. The centre frequency is at the midpoint (in octaves) = between the=20 lower and upper frequencies: if the bandwidth is 2 octaves, the centre = frequency=20 is one octave above the lower frequency, and one octave below the upper=20 frequency (e.g. 1kHz lower, 2kHz centre, 4kHz upper).

*Q refers to the Quality of a frequency filter, = in the=20 sense that a narrow filter is of higher quality than a broader = filter.

Gain

The amount by which the signal is boosted or cut.

For the budding mathematicians among you...

To Calculate Bandwidth

  • Divide the upper frequency by the lower frequency

F2/F1

  • Find the logarithm (base 10) of the result

Log10(F2/F1)

  • Divide the logarithm by 0.301

Log10(F2/F1)/0.301

To Calculate Q

  • Subtract the lower frequency from the upper = frequency

F2 =E2=88=92 F1

  • Divide the centre frequency by the result.

F3/(F2 =E2=88=92 F1)

To Convert Bandwidth to Q

  • Raise 2 to the power of the bandwidth

2^bandwidth

  • Find the square root of the result=E2=80=83[solution = A]

sqrt(2^bandwidth)

[A]

  • Raise 2 to the power of the bandwidth

2^bandwidth

  • Subtract 1 from the result=E2=80=83[solution B]

(2^bandwidth) =E2=88=92 1

[B]

  • Divide solution A by solution B

(sqrt(2^bandwidth))/((2^bandwidth) =E2=88=92 = 1)

[A]/[B]

...and if you really have nothing better to = do....

To Convert Q to Bandwidth

  • Take a deep breath...

(INHALE...............!)

  • Square Q=E2=80=83[Solution A]

Q^2

[A]

  • Double the result=E2=80=83[Solution B]

2x(Q^2)

[B]

  • Add 1=E2=80=83[Solution C]

2x(Q^2)+1

[C]

  • Divide solution C by solution B=E2=80=83[Solution = D]

(2x(Q^2)+1)/(2x(Q^2))

[C]/[B] =3D [D]

  • Divide solution C by solution A

(2x(Q^2)+1)/(Q^2)

[C]/[A]

  • Square the result

((2x(Q^2)+1)/(Q^2))^2

([C]/[A])^2

  • Divide the result by 4

((((2x(Q^2)+1)/(Q^2))^2)/4

(([C]/[A])^2)/4

  • Subtract 1

(((((2x(Q^2)+1)/(Q^2))^2)/4)-1

((([C]/[A])^2)/4)-1

  • Find the square root of the result=E2=80=83[solution = E]

sqrt(((((2x(Q^2)+1)/(Q^2))^2)/4)-1)

[E]

  • Add solution D to solution E=E2=80=82=E2=80=82[solution = F]
(2x(Q^2)+1)/(2x(Q^2))+sqrt(((((2x(Q^2)+1)/(Q^2))^2)/4)-1)

[D]+[E] =3D [F]

  • Find the logarithm (base 10) of the result
Log10((2x(Q^2)+1)/(2x(Q^2))+sqrt(((((2x(Q^2)+1)/(Q^2))^2)/4)-1))

Log(10)[F]

  • ...and finally...

...sigh...

  • Divide the result by 0.301
(Log10((2x(Q^2)+1)/(2x(Q^2))+sqrt(((((2x(Q^2)+1)/(Q^2))^2)/4)-1)))= /0.301

(Log(10)[F])/0.301

What it is

A parametric EQ is an equaliser which has controls for Frequency, = Bandwidth=20 or Q, and Gain.

Some desks have one or more parametric EQ sections on each channel. = However,=20 single- or multi-channel parametric EQs (with a varying number of bands) = are=20 available as rack-mountable units.

Sweepable midrange EQ which has only frequency and gain controls = (found on=20 the channel section of some budget and most mid-priced desks) is = sometimes=20 incorrectly described as =E2=80=98parametric=E2=80=99. However, the term = =E2=80=98semi-parametric=E2=80=99 is=20 more often used for this type of EQ. To distinguish it from this, the = channel EQ=20 on more expensive desks - which include a bandwidth or Q control - is = often=20 described as =E2=80=98fully parametric=E2=80=99.

What it does

It allows very precisely tailored EQ to be applied.

How it works

It works as a normal peaking = midrange EQ=20 control, but the frequency and bandwidth are also adjustable.

How do you use it?

If all else fails, read the manual!

The main use of a parametric EQ in live systems is for tone shaping = or=20 correcting anomalies in the sound of individual instruments or voices=20 (occasionally also in the overall sound). It can also be used (with more = accuracy than a graphic EQ) to control feedback.

As a corrective measure, cutting dominant frequencies is generally = more=20 effective - and sounds more natural - than boosting weaker frequencies. = There=20 are several technical reasons for this, but a simple thing to bear in = mind is=20 that peaks stand out, and reducing them will have more effect (and can = be=20 achieved more easily and with greater accuracy) than trying to raise the = troughs. Also - broadly speaking - if you've already got it you probably = don't=20 need to boost it, but no amount of boosting will put back what wasn't = there to=20 begin with.

The descriptions below assume that you are using one band of = parametric EQ,=20 and that it is inserted in the channel path using the channel insert = point.

For tonal correction:

  1. Set the gain control at the 0dB - no cut or boost - position = (typically=20 this will be 12 o'clock).
  2. Set the bandwidth or Q control at a position = mid-way=20 through its range (typically this will also be 12 o'clock).
  3. Set the frequency control at the lower extreme = of its=20 range.

While the sound you wish to change is playing, increase the gain = (around 6dB=20 to 10dB of boost). If this causes feedback, reduce the channel level = slightly.=20 Sweep the frequency control slowly through its range. When you have = found the=20 frequency that sounds worst (or is most resonant, or most prone to = feedback),=20 move the gain control to apply a modest amount (from 3dB to 6dB) of cut. = Finally=20 try reducing the bandwidth a little. If this makes the feedback return = or the=20 sound worse, try increasing it a little.

For feedback control:

  1. Set the bandwidth or Q control at a low bandwidth (or high Q) - = typically=20 counter-clockwise, at around 8 or 9 o'clock.
  2. Set the frequency control at the lower extreme = of its=20 range.
  3. Apply a moderate amount (around 6dB to 10dB) = of=20 cut.

With the channel you wish to correct open, raise the channel's output = until=20 it is beginning to feed back. Sweep the frequency control slowly through = its=20 range. The feedback should stop when you have found the correct = frequency. If it=20 doesn't, increase the amount of cut and/or the bandwidth slightly, and = sweep the=20 frequency control slowly through its range again. When you have found = the=20 correct frequency, reduce the bandwidth and the amount of cut as much as = you can=20 without feedback occurring.

Do you need one?

If your mixer has one or more sweepable midrange controls, a = parametric EQ is=20 something of an indulgence, and if you have a modern digital mixer it = probably=20 includes fully parametric EQ on all channels anyway. However, you might=20 reconsider the importance of getting one if you frequently experience = problems=20 with feedback (either on your front-of-house or monitor system as a = whole, or on=20 individual instruments).

Many system controllers include programmable parametric EQ functions, = allowing a system's overall frequency response to be tailored to = specific=20 loudspeaker combinations.

What sort do you need?

You need enough bands to cover most of the usable frequency range = (from=20 around 100Hz to 10kHz). Frequencies below 100Hz or above 10kHz can = usually be=20 dealt with effectively by shelving (high-pass and low-pass) filters, and = feedback above 10kHz is unlikely to be a problem unless you're Doing = Something=20 Unadvisable with microphone and loudspeaker positions.

If feedback is a problem at a lot of different frequencies then you = are at=20 the limit of your system's capabilities, and a parametric won't help = matters=20 much.

These factors combine to mean that you are unlikely to need more than = a few=20 bands of parametric EQ.

While very narrow (1/60 octave) and very broad (3+ octave) bandwidths = are=20 possible, you are unlikely to need anything much less than 1/30 octave = or much=20 more than 2 octaves. If the range is given in Q values, this will be = between 0.7=20 (about 2 octaves) and 45 (about 1/30 octave). Similarly if you need more = than=20 10dB of cut or boost, you should consider getting new pickups, mics or=20 loudspeakers (depending on the cause of the problem).

Apart from this, every EQ has its own =E2=80=98sound=E2=80=99, so - = if you can - listen=20 before you hire or buy.

See Also...

Documents from the section on Equalizers=20 in the Rane library, and Shure's Basics=20 of Equalization and Feedback.

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margin-bottom: 0px; } .halfspace { margin-top: 0.5em; margin-bottom: 0px; } .head { margin-top: 2em; } .header { background: url("header1208.png"); display: inline-block; } .indent { text-indent: -1em; margin-left: 1em; } .index { margin-top: 2.4em; margin-bottom: 0px; } .inset-r { margin-right: 20px; } .inset1 { margin-left: 1em; } .inset15 { margin-left: 1.25em; } .inset2 { margin-left: 2em; } .inset3 { margin-left: 3em; } .insetsub { margin-top: 0.7em; margin-left: 4.2em; } .inumber { text-indent: -1.6em; margin-left: 4.2em; } .letter { text-indent: -1.6em; margin-left: 6.2em; } .lettersub { margin-top: 0.6em; margin-left: 6.2em; } .list { margin-bottom: 0.5em; } .logo { background-position: 0px -37px; margin: 0px; padding: 0px; width: = 246px; height: 60px; display: inline-block; } .max { margin-top: 92px; margin-bottom: 0px; } .media { text-align: right; letter-spacing: 1em; margin-bottom: 0.8em; } .menu { color: rgb(255, 255, 255); font-family: Arial, Verdana, Helvetica; = margin-top: 0px; margin-bottom: 0px; margin-left: 1.25em; } .middle { vertical-align: middle; } .mission { color: rgb(0, 102, 102); font-size: 80%; margin-top: -3px; = margin-bottom: 0px; } .nobullet { list-style-type: none; } .nospace { margin-top: 0px; margin-bottom: 0px; } .note { line-height: 1.4em; font-size: 80%; } .number { text-indent: -1.6em; margin-left: 2.3em; } .number2 { text-indent: -2.2em; margin-left: 2.3em; } .phone { text-align: right; margin-bottom: 0px; display: block; } .production { line-height: 160%; text-indent: -19em; padding-left: 19em; margin-top: = 1px; display: inline-block; } .reduced { margin-top: 0.85em; margin-bottom: 0px; } .ref { font-size: 80%; } .right { text-align: right; } .searchbox { width: 203px; margin-right: 4px; } .searchform { width: 265px; } .section { font-size: 110%; } .single { margin-top: 1em; margin-bottom: 0px; } .space { margin-top: 1.8em; margin-bottom: 0px; } .spacedlist { margin-bottom: 0.8em; } .spacer { width: 5px; display: inline-block; } .sub { margin-left: 2.3em; } .subnote { line-height: 1.4em; font-size: 80%; margin-top: 0.7em; margin-left: = 2.9em; } .subheading { color: rgb(0, 102, 102); font-weight: bold; margin-top: 2em; } .symbol { margin: 0px; padding: 0px; border: 0px currentColor; border-image: = none; font-size: 125%; } .systems { line-height: 160%; text-indent: -20em; padding-left: 20em; margin-top: = 1px; display: inline-block; } .table-h2 { color: rgb(0, 102, 102); line-height: 1.4em; font-size: 100%; = font-weight: bold; margin-top: 2em; margin-bottom: 0.1em; } .top { color: rgb(0, 102, 102); line-height: 1.4em; font-size: 85%; = font-weight: bold; margin-top: 3em; margin-bottom: 0.1em; } ------=_NextPart_000_0000_01D0E58A.F6271B70 Content-Type: text/css; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.astralsound.com/mobile-2013-10.css body { margin: 0px; padding: 0px; height: 100%; line-height: 1.5em; = font-family: Verdana, Arial, Helvetica; font-size: 80%; counter-reset: = section; background-color: rgb(182, 197, 190); } p { line-height: 1.4em; font-family: Verdana, Arial, Helvetica; font-size: = small; margin-top: 0.8em; margin-bottom: 0.1em; } em { font-style: italic; } h1 { font-family: Verdana, Arial, Helvetica; } h2 { font-family: Verdana, Arial, Helvetica; } h3 { font-family: Verdana, Arial, Helvetica; } h1 { color: rgb(0, 102, 102); line-height: 1.4em; font-size: large; = font-weight: bold; margin-top: 0.8em; margin-bottom: 0.1em; } h2 { color: rgb(0, 102, 102); line-height: 1.4em; font-size: small; = font-weight: bold; margin-top: 1.2em; margin-bottom: 0.1em; } h3 { color: rgb(0, 102, 102); line-height: 1.4em; font-size: 100%; = font-weight: bold; margin-top: 0.7em; margin-bottom: 0.1em; } b { color: rgb(0, 102, 102); line-height: 1.4em; font-weight: bold; } sub { font-size: small; vertical-align: 0px; position: relative; } sup { font-size: small; vertical-align: 0px; position: relative; } sub { top: 0.8ex; } sup { bottom: 1ex; } ol { padding: 0px; line-height: 1.4em; margin-bottom: 0px; margin-left: = 2.3em; } ul { padding: 0px; line-height: 1.4em; margin-bottom: 0px; margin-left: = 2.3em; } a:link { color: rgb(0, 85, 85); text-decoration: underline; } a:visited { color: rgb(85, 85, 85); text-decoration: underline; } a.nav:link { color: rgb(255, 255, 255); text-decoration: none; } a.nav:visited { color: rgb(255, 255, 255); text-decoration: none; } a.noline:link { color: rgb(0, 102, 102); text-decoration: none; } a.noline:visited { color: rgb(85, 85, 85); text-decoration: none; } a.table { color: rgb(255, 255, 255); text-decoration: none; } a.table:visited { color: rgb(255, 255, 255); text-decoration: none; } a.third { color: rgb(85, 85, 85); text-decoration: none; } a.third:visited { color: rgb(85, 85, 85); text-decoration: none; } div.float { width: 48%; margin-right: 1em; float: left; min-width: 310px; } div.float30 { width: 30%; margin-right: 2em; float: left; min-width: 240px; } div.float65 { width: 68%; margin-right: 2em; float: left; min-width: 240px; } #breadcrumb { padding: 0px 2px 0px 5px; border: currentColor; border-image: none; = top: 150px; width: 100%; text-align: left; color: rgb(0, 85, 85); = line-height: 240%; overflow: hidden; font-size: 100%; font-weight: bold; = text-decoration: none; margin-top: 0px; display: inline-block; position: = relative; background-color: rgb(182, 197, 190); } #breadcrumb a { color: rgb(0, 85, 85); background-color: rgb(182, 197, 190); } #breadcrumb a:link { border-width: thin; border-style: solid; padding: 3px; color: rgb(0, = 85, 85); font-size: 95%; font-weight: bold; text-decoration: none; } #breadcrumb a:visited { border-width: thin; border-style: solid; padding: 3px; color: rgb(0, = 85, 85); font-size: 95%; font-weight: bold; text-decoration: none; } #breadcrumb a:active { border-width: thin; border-style: solid; padding: 3px; color: rgb(0, = 85, 85); font-size: 95%; font-weight: bold; text-decoration: none; } #desktop { display: none; } #contact { top: 68px; width: 100%; height: 75px; color: rgb(255, 255, 255); = padding-left: 8px; position: absolute; background-color: rgb(0, 102, = 102); } #foot { padding: 0px 4px; border: currentColor; border-image: none; top: 20px; = color: rgb(0, 102, 102); line-height: 2.5em; font-size: 85%; = text-decoration: none; margin-top: 0px; margin-right: auto; margin-left: = auto; display: inline-block; } #foot a { color: rgb(0, 102, 102); } #foot a:link { color: rgb(0, 102, 102); } #breadcrumb a:visited { color: rgb(0, 102, 102); } #breadcrumb a:active { color: rgb(0, 102, 102); } #jsmenu { display: none; } #mobile { color: rgb(255, 255, 255); text-decoration: none; display: = inline-block; } #mobile a { color: rgb(255, 255, 255); text-decoration: none; } #mobile a:link { color: rgb(255, 255, 255); text-decoration: none; } #mobile a:visited { color: rgb(255, 255, 255); text-decoration: none; } #mobile a:active { color: rgb(255, 255, 255); text-decoration: none; } #navigation { left: 0px; top: 120px; width: 100%; height: 30px; position: absolute; } #page-container { margin: 0px auto; padding: 0px; height: 100%; position: relative; = min-width: 320px; max-width: 480px; background-color: rgb(182, 197, = 190); } #page-contents { top: 150px; height: 100%; text-align: left; clear: both; margin-right: = 0px; margin-left: 10px; position: relative; max-width: 100%; = background-color: rgb(182, 197, 190); } #pagesearch { top: -3px; width: 100%; height: 25px; text-align: right; clear: right; = margin-right: 3px; margin-left: 8px; float: right; position: relative; } #tm { top: 0px; width: 100%; height: 72px; text-align: left; padding-top: = 5px; padding-left: 8px; display: block; position: absolute; z-index: = 100; background-color: rgb(255, 255, 255); } .asterisk { text-indent: -0.8em; margin-left: 0.8em; } .asterisknote { text-indent: -0.8em; font-size: 80%; margin-left: 2.9em; } .asterisksub { margin-left: 0.8em; } .bullet { text-indent: -1.3em; margin-left: 1.8em; } .bullet-tab { text-indent: -1.3em; margin-left: 3.3em; } .bulletinset { text-indent: -1.1em; margin-left: 4.2em; } .cards { display: none; } .centre { text-align: center; margin-right: 1em; margin-left: 1em; } .clear { clear: both; } .footer { padding: 4px; width: 100%; color: rgb(255, 255, 255); margin-left: = -10px; background-color: rgb(0, 102, 102); } .gap { margin-top: 2em; margin-bottom: 0px; } .halfspace { margin-top: 0.4em; margin-bottom: 0px; } .head { margin-top: 1.2em; } .header { background: url("mobile-2013.png"); display: inline-block; } .indent { text-indent: -1em; margin-left: 1em; } .index { margin-top: 1em; margin-bottom: 0px; } .inset1 { margin-left: 1em; } .inset15 { margin-left: 1.25em; } .inset2 { margin-left: 2em; } .inset3 { margin-left: 3em; } .insetsub { margin-top: 0.7em; margin-left: 4.2em; } .inumber { text-indent: -1.6em; margin-left: 4.2em; } .list { margin-bottom: 0.5em; } .logo { background-position: 0px 0px; margin: 0px; padding: 0px; width: 225px; = height: 57px; display: block; } .letter { text-indent: -1.6em; margin-left: 6.2em; } .lettersub { margin-top: 0.6em; margin-left: 6.2em; } .max { margin-top: 92px; margin-bottom: 0px; } .media { text-align: right; padding-right: 2px; font-size: small; float: right; = display: inline-block; } .middle { vertical-align: middle; } .mission { color: rgb(0, 102, 102); font-size: 70%; font-variant: small-caps; = margin-top: -1px; margin-bottom: 0px; } .nobullet { list-style-type: none; } .nospace { margin-top: 0px; margin-bottom: 0px; } .note { line-height: 1.4em; font-size: 80%; } .number { text-indent: -1.6em; margin-left: 2.3em; } .number2 { text-indent: -2.2em; margin-left: 2.3em; } .phone { top: 7px; width: 180px; float: left; display: inline-block; position: = absolute; } .reduced { margin-top: 0.6em; margin-bottom: 0px; } .right { text-align: right; } .searchbox { width: 100px; margin-right: 4px; } .searchform { width: 100px; } .section { font-size: 110%; } .single { margin-top: 0.7em; margin-bottom: 0px; } .space { margin-top: 1.2em; margin-bottom: 0px; } .spacedlist { margin-bottom: 0.8em; } .spacer { width: 20px; display: inline-block; } .sub { margin-top: 0.7em; margin-left: 2.3em; } .subnote { line-height: 1.4em; font-size: 80%; margin-top: 0.7em; margin-left: = 2.9em; } .subheading { color: rgb(0, 102, 102); font-weight: bold; margin-top: 1.4em; } .symbol { font-size: 120%; } .top { color: rgb(0, 102, 102); line-height: 1.4em; font-size: 85%; = font-weight: bold; margin-top: 2em; margin-bottom: 0.1em; } ------=_NextPart_000_0000_01D0E58A.F6271B70--