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Author Topic: for all you spl geeks out there
kraven moorehead
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found this on another forum and thought it would make me look smart......hahahahah


To calculate the power response of a ported enclosure system, you will need to know the following: Vas = equivalent compliance of driver (litres)
Qes = electrical Q of driver at resonance
Fs = resonance frequency of driver (Hz)
PEmax = maximum input power for driver
Fb = resonance frequency of the system
F3 = frequency at which response is down by -3dB
Dia = effective driver diameter driver (cm)
Xmax = peak linear displacement of driver cone (mm)
then,

Sd = pi*(Dia/100)^2/4
Vd = Sd*Xmax/1000
n0 = 9.64*10^(-10)*Fs^3*Vas/Qes
SPL = 112 + 10*LOG(n0)
K1 = (4*pi^3*Ro/c)*Fs^4*Vd^2
K2 = 112+10*LOG(K1)
Par = 3*F3^4*Vd^2
Per = Par/n0
PeakSPL = SPL+10*LOG(PEmax)

where,

pi = 3.14159265359
c = speed of sound in air (345 m/s)
Ro = density of air (1.18 kg/m^3)
n0 = free-air efficiency of driver
SPL = SPL of driver @1W/1M
Par = maximum linear power output
Per = electrical input required to produce Par
PeakSPL = Thermally-limited SPL in passband

Maximum output at a given frequency F can be calculated as
follows:

Fn2 = (F/Fs)^2
Fn4 = Fn2^2
A = (Fb/Fs)^2
B = A/Qts+Fb/(Ql*Fs)
C = 1+A+(Vas/Vb)+Fb/(Fs*Qts*Ql)
D = 1/Qts+Fb/(Fs*Ql)
E = (97/49)*A
dBmag = 10*LOG(Fn4^2/((Fn4-C*Fn2+A)^2+Fn2*(D*Fn2-B)^2))
Pmax = (K1/n0)*((Fn4-C*Fn2+A)^2+Fn2*(D*Fn2-B)^2)
/(Fn4-E*Fn2+A^2)
SPLmax = K2+10*LOG(Fn4^2/(Fn4-E*Fn2+A^2))
SPLtherm = PeakSPL+dBmag

where,

SPLmax = displacement-limited SPL at frequency F (dB/1M)
SPLtherm = thermally-limited SPL at frequency F (dB/1M)
--------------------------------------------------------
To calculate the frequency response of a ported enclosure system, you will need to know the following: Vb = net box volume (litres)
Fs = driver resonance frequency (Hz)
Qts = driver Q at system resonance
Fb = box tuning frequency (Hz)
Ql = box losses (Ql=7 can be assumed for most cases)
then,

Fn2 = (F/Fs)^2
Fn4 = Fn2^2
A = (Fb/Fs)^2
B = A/Qts+Fb/(Fs*Ql)
C = 1+A+(Vas/Vb)+Fb/(Fs*Qts*Ql)
D = 1/Qts+Fb/(Fs*Ql)
dBmag = 10*LOG(Fn4^2/((Fn4-C*Fn2+A)^2+Fn2*(D*Fn2-B)^2))
------------------------------------------------------------------------------------------------------------------

To calculate the power response of a 4th order bandpass system, you will need to know the following: Vas = equivalent compliance of driver (litres)
Qes = electrical Q of driver at resonance
Fs = resonance frequency of driver (Hz)
PEmax = maximum input power for driver
Fb = resonance frequency of the system
F3 = frequency at which response is down by -3dB
Dia = effective driver diameter driver (cm)
Xmax = peak linear displacement of driver cone (mm)
Vr = net volume of sealed section (litres)
Vf = net volume of vented section (litres)
then,

Qts' = Qts*((Vas+Vr)/Vr)^0.5
Fs' = Fs*Qts'/Qts
Qes' = Qes*Qts'/Qts
Vas' = Vas*Vr/(Vas+Vr)
Vb' = Vf

Sd = pi*(Dia/100)^2/4
Vd = Sd*Xmax/1000
n0 = 9.64*10^(-10)*Fs'^3*Vas'/Qes'
SPL = 112 + 10*LOG(n0)
Par = 3*F3^4*Vd^2
Per = Par/n0
PeakSPL = SPL+10*LOG(PEmax)
K1 = (4*pi^3*Ro/c)*Fs'^4*Vd^2

where,

pi = 3.14159265359
c = speed of sound in air (345 m/s)
Ro = density of air (1.18 kg/m^3)
n0 = free-air efficiency of driver
SPL = SPL of driver @1W/1M
Par = maximum linear power output
Per = electrical input required to produce Par
PeakSPL = Thermally-limited SPL in passband

Maximum output at a given frequency F can be calculated as follows:

Fn2 = (F/Fs')^2
Fn4 = Fn2^2
A = (Fb/Fs')^2
B = A/Qts'+Fb/(Ql*Fs')
C = 1+A+(Vas'/Vb')+Fb/(Fs'*Qts'*Ql)
D = 1/Qts'+Fb/(Fs'*Ql)
E = (97/49)*A
dBmag = 10*LOG((A*Fn2)^2/((Fn4-C*Fn2+A)^2+Fn2*(D*Fn2-B)^2)))
Pmax = (K1/n0)*((Fn4-C*Fn2+A)^2+Fn2*(D*Fn2-B)^2)/(Fn4-E*Fn2+A^2)
SPLmax = SPL+dBmag+10*LOG(Pmax)
SPLtherm = PeakSPL+dBmag

where,

SPLmax = displacement-limited SPL at F (dB/1M)
SPLtherm = thermally-limited SPL at F (dB/1M
----------------------------------------------------------
To calculate the frequency response of a 4th order bandpass system, you will need to know the following: Vf = net front volume (litres)
Ff = front volume tuning frequency
Vr = net rear volume (litres)
Fs = driver resonance frequency (Hz)
Qts = driver Q at system resonance
Ql = box losses (Ql=infinite (10000) can be assumed for most cases)
then at frequency F,

A = (1/Ff)^2*F^4
B = ((1/Ql+(Fs/Ff)/Qts)/Ff)*F^3
C = (((1+Vas/Vr+Vas/Vf)*Fs/Ff+(1/Qts)/Ql)*Fs/Ff+1)*F^2
D = ((1/Qts+(Fs/Ff)/Ql*(Vas/Vr+1))*Fs)*F
E = (Vas/Vr+1)*Fs^2
G = A-C+E
H = -B+D
dBmag = 20*log(F^2/(G^2+H^2)^.5)
------------------------------------------------------------------------------------------------------------------
------------------------------------------------------------------------------------------------------------------


Port Length
The port length required to tune a volume of air to a specific frequency can be calculated by using the following equation:
Lv = (23562.5*Dv^2*Np/(Fb^2*Vb))-(k*Dv)


where,

Dv = port diameter (cm)
Fb = tuning frequency (Hz)
Vb = net volume (litres)
Lv = length of each port (cm)
Np = number of ports
k = end correction (normally 0.732)


The value for k, the end correction, can be fine-tuned by using the following values to derive the appropriate end correction figure for each end of the port, then adding them together

Flanged End: 0.425
Free End: 0.307

e.g. if both ends were flanged,
k = 0.425 + 0.425 = 0.850

if one flanged, one free,
k = 0.425 + 0.307 = 0.732

if both ends were free,
k = 0.307 + 0.307 = 0.614

Normally, k=0.732 is assumed


In practice, it's best to use ports that are slightly longer than predicted by the above equations, then adjust their length until the correct tuning is achieved. It is much easier to shorten a port than to lengthen it!

Minimum Port Diameter
To calculate the minimum diameter of the port required to prevent port noises, you will also need to know the following:

Xmax = maximum linear displacement (mm)
Dia = Effective diameter of driver (cm)
Np = number of ports


Calculate the minimum port diameter from the following equations:

Sd = pi*(Dia/100)^2/4
Vd = Sd*Xmax/1000
Dmin = 100*(20.3*(Vd^2/Fb)^0.25)/Np^.5


where,

Dmin = minimum port diameter (cm)


Note: You CAN use ports that have a smaller diameter than that given by the equation above, especially if the ports are flared at both ends. However, at higher volumes, you may notice some port noise caused by the air rushing through the ports.

Slot Ports
If you wish to use a slot port, first determine the diameter of a round port that has the same cross-sectional area as the slot. The following equation can be used to do this:

Dv' = 2*((W*H)/pi)^0.5

where,

Dv' = diameter of equivalent round port
W = width of slot
H = height of slot

Once you've calculated Dv', you can use it in the equation for Lv above to determine the required length of the slot port to tune the enclosure to the required frequency (Fb)
------------------------------------------------------------------------------------------------------------------
------------------------------------------------------------------------------------------------------------------


To calculate the power response of a sealed enclosure system, you will need to know the following:
Vas = equivalent air compliance (litres)
Qes = electrical Q of driver at resonance
Fs = resonance frequency of driver (Hz)
PEmax = maximum input power for driver (W)
Fb = resonance frequency of the system (Hz)
Qtc = final Q of the system at resonance
Dia = effective diameter (cone + 1/3 surround) (cm)
Xmax = peak linear displacement of cone (mm)

then,

Sd = pi*(Dia/100)^2/4
Vd = Sd*Xmax/1000
n0 = 9.64*10^(-10)*Fs^3*Vas/Qes
SPL = 112 + 10*LOG(n0)
K1 = (4*pi^3*Ro/c)*Fb^4*Vd^2
K2 = 112+10*LOG(K1)
Amax = Qtc^2/(Qtc^2-0.25)^0.5 for Qtc >(1/2)^0.5,
1 otherwise
Par = K1/Amax^2
Per = Par/n0
PeakSPL = SPL+10*LOG(PEmax)

where,

pi = 3.14159265359
c = speed of sound in air (345 m/s)
Ro = density of air (1.18 kg/m^3)
n0 = free-air efficiency
SPL = driver output @1W/1M
Par = maximum linear power output
Per = electrical input required to produce Par
PeakSPL = Thermally-limited SPL in passband

At frequency F,

Fr = (F/Fb)^2
dBmag = 10*LOG(Fr^2/((Fr-1)^2+Fr/Qtc^2))
SPLd = K2+40*log(F/Fb)
Pmax = K1*((Fr-1)^2+Fr/Qtc^2)/n0
SPLt = dBmag+peakSPL

where

SPLd = displacement-limited SPL at F (dB)
Pmax = power required to produce SPLd at F (W)
SPLt = thermally-limited SPL at F (dB)
--------------------------------------------------------
To calculate the frequency response of a sealed enclosure system, you will need to know the following:
Fb = resonance frequency of the system
Qtc = Final Q of the system at resonance


then,

Fr = (F/Fb)^2
dBmag = 10*LOG(Fr^2/((Fr-1)^2+Fr/Qtc^2))

where,

F = frequency (Hz)
dBmag = SPL 1W/1M at frequency F
-------------------------------------------------------------------------------------------------------------------
Just for you guys who dont trust the programs(like winISD,ect...)and want to do the math

--------------------
12 VOLTS BABY!!!!!
TEAM STETSOM USA & SALES REP
TEAM STINGER
BUY OHIO GENERATORS
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SUPER STREET 1-2
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Unicron
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WHAT!!!! [Freak] LOL!!!

--------------------
Team Smoke Xtreme

"I like my women, like i like my baffles.... THICK"

Real men do the hairtrick with music.

The 12 volt industry best kept secret.

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Mabeita
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You thought wrong... [Wink]

--------------------
Michael Abeita
mikea@audioexpressusa.com
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kraven moorehead
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quote:
Originally posted by Mabeita:
You thought wrong... [Wink]

Yea the story of my life.....harumph!!!

--------------------
12 VOLTS BABY!!!!!
TEAM STETSOM USA & SALES REP
TEAM STINGER
BUY OHIO GENERATORS
WORLD FINALS COMPETITOR 2005,2006,2008,2009
SUPER STREET 1-2
CERTIFIED 161.0 DB
MARYLANDS LOUDEST DAILY DRIVER
N.S.P.L. STATE RECORD HOLDER
2005,2006,2007,2008,2009
TEAM USAudio
Stetsom Sales and Service
stetsomrep1@hotmail.com

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PSYCHOACOUSTICS
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that's all the math behind winisd or bass box or termpak it looks like

--------------------
Psycho out!
"loved by none-hated by all"
 -

 -  -  -  -  -  -

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Mabeita
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Nope, that's all the math you need to know if you're thinking of becoming a good box builder, and it's also the stuff that you realize is taking up all of the space in your brain that you could otherwise be using to learn how to count cards when you're in Las Vegas during CES in January. [Smile]

--------------------
Michael Abeita
mikea@audioexpressusa.com
 -

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kraven moorehead
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I knew there were geeks out there that would understand that, did anyone try to work out any of the formulas????????

--------------------
12 VOLTS BABY!!!!!
TEAM STETSOM USA & SALES REP
TEAM STINGER
BUY OHIO GENERATORS
WORLD FINALS COMPETITOR 2005,2006,2008,2009
SUPER STREET 1-2
CERTIFIED 161.0 DB
MARYLANDS LOUDEST DAILY DRIVER
N.S.P.L. STATE RECORD HOLDER
2005,2006,2007,2008,2009
TEAM USAudio
Stetsom Sales and Service
stetsomrep1@hotmail.com

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murilo@soundigital.com.br
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quote:
Originally posted by PSYCHOACOUSTICS:
that's all the math behind winisd or bass box or termpak it looks like

Yes...


some geeks put that on excell and make their own nice geek graphs...

--------------------
World's strongest amplifiers

Contact at

murilo@soundigital.com.br
(204) 416 3713

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PSYCHOACOUSTICS
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oh do show!

--------------------
Psycho out!
"loved by none-hated by all"
 -

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Exile son of Exodus
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???? Then I carry the 2 and divide by what ?

--------------------
The bass killed kenny...... you bastard!!
I post from my phone cause my computer hates me.
I'm working on a 12th order sealed enclosure any ideas.....

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kraven moorehead
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come on Murilo show those geek graphs,,,,,

--------------------
12 VOLTS BABY!!!!!
TEAM STETSOM USA & SALES REP
TEAM STINGER
BUY OHIO GENERATORS
WORLD FINALS COMPETITOR 2005,2006,2008,2009
SUPER STREET 1-2
CERTIFIED 161.0 DB
MARYLANDS LOUDEST DAILY DRIVER
N.S.P.L. STATE RECORD HOLDER
2005,2006,2007,2008,2009
TEAM USAudio
Stetsom Sales and Service
stetsomrep1@hotmail.com

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28DB Increase
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Hey need help installing f15d mono block by solid audio to bridge mode plus and minus from wich channels [LIST]
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Mabeita
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Mono block in bridge mode???

What???

You're joking right?

--------------------
Michael Abeita
mikea@audioexpressusa.com
 -

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GuitarMoFo1
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Thanks very much! I'll fiddle with it on a rainy day. Could even code a program for my TI-89 Titanium! haha

--------------------
Overdrive Audio - Jax. FL

'97 F-150 Ex. Cab
8 Exile XP12s - Half Wall
2 2400.1
2 sets of 5 1/5 & 6 1/2
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Tempe
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Didja type that all by yourself?

--------------------
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Please check out the following links:
--My 1998 Ford Ranger Supercab
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Derrick824
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Uhhh, I have a headache now.

--------------------
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kraven moorehead
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quote:
Originally posted by Mabeita:
Mono block in bridge mode???

What???

You're joking right?

possible if its a half bridge amp, but i dont think that is a half bridge amp.......

--------------------
12 VOLTS BABY!!!!!
TEAM STETSOM USA & SALES REP
TEAM STINGER
BUY OHIO GENERATORS
WORLD FINALS COMPETITOR 2005,2006,2008,2009
SUPER STREET 1-2
CERTIFIED 161.0 DB
MARYLANDS LOUDEST DAILY DRIVER
N.S.P.L. STATE RECORD HOLDER
2005,2006,2007,2008,2009
TEAM USAudio
Stetsom Sales and Service
stetsomrep1@hotmail.com

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Rip Rock
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To calculate the power response of a sealed enclosure system, you will need to know the following:
Vas = equivalent air compliance (litres)
Qes = electrical Q of driver at resonance
Fs = resonance frequency of driver (Hz)
PEmax = maximum input power for driver (W)
Fb = resonance frequency of the system (Hz)
Qtc = final Q of the system at resonance
Dia = effective diameter (cone + 1/3 surround) (cm)
Xmax = peak linear displacement of cone (mm)

then,

Sd = pi*(Dia/100)^2/4
Vd = Sd*Xmax/1000
n0 = 9.64*10^(-10)*Fs^3*Vas/Qes
SPL = 112 + 10*LOG(n0)
K1 = (4*pi^3*Ro/c)*Fb^4*Vd^2
K2 = 112+10*LOG(K1)
Amax = Qtc^2/(Qtc^2-0.25)^0.5 for Qtc >(1/2)^0.5,
1 otherwise
Par = K1/Amax^2
Per = Par/n0
PeakSPL = SPL+10*LOG(PEmax)

where,

pi = 3.14159265359
c = speed of sound in air (345 m/s)
Ro = density of air (1.18 kg/m^3)
n0 = free-air efficiency
SPL = driver output @1W/1M
Par = maximum linear power output
Per = electrical input required to produce Par
PeakSPL = Thermally-limited SPL in passband

At frequency F,

Fr = (F/Fb)^2
dBmag = 10*LOG(Fr^2/((Fr-1)^2+Fr/Qtc^2))
SPLd = K2+40*log(F/Fb)
Pmax = K1*((Fr-1)^2+Fr/Qtc^2)/n0
SPLt = dBmag+peakSPL

where

SPLd = displacement-limited SPL at F (dB)
Pmax = power required to produce SPLd at F (W)
SPLt = thermally-limited SPL at F (dB)


This is already flawed c = speed of sound in air (345 m/s) , I know we never tune to sea level,and I dont know anyone who does.
Ro = density of air (1.18 kg/m^3),
Air density decreases with increasing altitude, as does air pressure. It also changes with variances in temperature or humidity. At sea level and 20 °C, air has a density of approximately 1.2 kg/m3.
So with these 2 variables C and Ro this should only be used as a guide line only when using this long calculation.

--------------------
180+ db`s

Mike and Mark

E-mail
rip_rock@shaw.ca

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kraven moorehead
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hahahahahaha I live at sea level well actually 25' above and 100' from, M&M congrats on your scores at finals and I didnt know you guys were spl "geeks" I always thought you guys were too cool for that!!!! But Murilo.....thats another story! hahaha

--------------------
12 VOLTS BABY!!!!!
TEAM STETSOM USA & SALES REP
TEAM STINGER
BUY OHIO GENERATORS
WORLD FINALS COMPETITOR 2005,2006,2008,2009
SUPER STREET 1-2
CERTIFIED 161.0 DB
MARYLANDS LOUDEST DAILY DRIVER
N.S.P.L. STATE RECORD HOLDER
2005,2006,2007,2008,2009
TEAM USAudio
Stetsom Sales and Service
stetsomrep1@hotmail.com

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murilo@soundigital.com.br
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they just copy and paste steve...


[Big Grin]

--------------------
World's strongest amplifiers

Contact at

murilo@soundigital.com.br
(204) 416 3713

 -

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Rip Rock
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quote:
Originally posted by kraven moorehead:
hahahahahaha I live at sea level well actually 25' above and 100' from, M&M congrats on your scores at finals and I didnt know you guys were spl "geeks" I always thought you guys were too cool for that!!!! But Murilo.....thats another story! hahaha

Well, not geeks by all means. But We know this first hand, for example we live in an area that is around 3100feet above sea level.
When going from 3100 feet to 600-700 feet above sea level, ( or Tulsa civic center 644 feet above sea level [Wink] ) that is a big adjustment and you can`t really fine tune an extreme vechicle.
But you can tweak the frequency without touching the box, and that is temperature to get to the closest frequency. Once you nail the temperature down,(because you have all ready tested that at home) the speed of sound will now work with you, and you can see it`s gain from a lower altitude. Of course the more sealed up a vechicle is the more effect temperature and speed of sound has. [Wink]

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Mike and Mark

E-mail
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kraven moorehead
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I saw that in my car at finals. Was anyone else having trouble finding frequency? It kept jumping around for me. Same settings week before in sweltering heat I did a 161.1 there it was a 160.4. I let the car run in the staging lanes and had the heater cranked the car was warm when i went to the lanes and it did a 160.8. I think a few more degrees in the temp and I might have won.

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Old/School
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So what effect dose barometric pressure have on all this with temp and hummidity?

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Rip Rock
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quote:
Originally posted by Old/School:
So what effect dose barometric pressure have on all this with temp and hummidity?

It`s all in realation to each other.

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180+ db`s

Mike and Mark

E-mail
rip_rock@shaw.ca

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Ok guys another ? the higher the pressure the lower the # or the other way around i have not tested this yet but been doing some thinking lately. do to testing in the crapy wether. then a few nice days back to the crapy wether i have seen a few cool things.

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