-[DECI-BEL] REFERENCES-


-as of [9 AUGUST 2026]-


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-OVERVIEW-


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-MEASURES [RATIOS]-


(not just “sound pressure”)


(it can also be used to measure “electronic signals”)


(and many other variables)


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-“SOUND INTENSITY” IS MEASURED IN [DECI-BELS]-


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-“SOUND POWER” IS MEASURED IN “WATTS”-


-THE [WATT]-


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-“SOUND PRESSURE” IS MEASURED IN “PASCALS”-


-THE [PASCAL]-


(WHEN WORKING WITH AUDIO, “DECIBEL METERS” ARE USUALLY MEASURING RATIO OF “SOUND PRESSURE”)


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-THE [LOWER THRESHOLD] OF [HUMAN HEARING] IS [20 MICRO-PASCALS]-


-THIS VALUE IS USED AS [DENOMINATOR] OF YOUR [PRESSURE RATIO]-


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*PRESSURE RATIO* —>


(IN “MICRO-PASCALS”)


-[CURRENT PRESSURE] / [20]-


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*DECIBELS* —>


-[log(pressure ratio) x 20]-


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-the “bel” is named after “alexander graham bell”-

-it was developed at “bell laboratories”-

-presented in 1924-

(2 years after bell’s death)


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*ALEXANDER GRAHAM BELL* —>



(1847 – 1922)


-SCOTTISH INVENTOR OF THE [TELEPHONE]-


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-the decibel (dB) is 1/10 of a ‘bel’- 


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*the bel (B) is 12 ln(10) nepers*


1 B = 12 ln(10) Np


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ln(10) = [~2.3026]


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-[1 bel] = [1.1513 nepers]


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*JOHN NAPIER* —>


(1550 – 1617)

-SCOTTISH MATHEMATICIAN-

-“DISCOVERED” LOGARITHMS-


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-THE [NEPER]-


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*the ‘neper’ is the ‘change’ in the ‘level’ of a ‘root-power quantity’ when the ‘root-power quantity’ changes by a factor of e* –>

(that is 1 Np = ln(e) = 1)

-the “sound power” is proportional to the “square” of a “root-power quantity”-


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-as of [22 AUGUST 2026]-

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*👨‍🔬🕵️‍♀️🙇‍♀️*SKETCHES*🙇‍♂️👩‍🔬🕵️‍♂️*

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👈👈👈 ☜ *-THE [DECI-BEL]-*

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*-FRAMING DIMENSIONS-* ☞ 👉👉👉

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💕💝💖💓🖤💙🖤💙🖤💙🖤❤️💚💛🧡❣️💞💔💘❣️🧡💛💚❤️🖤💜🖤💙🖤💙🖤💗💖💝💘

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*🌈✨ *TABLE OF CONTENTS* ✨🌷*

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🔥🔥🔥🔥🔥🔥*we won the war* 🔥🔥🔥🔥🔥🔥