-DECIBEL REFERENCES-

-as of [13 JULY 2025]-

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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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*👨‍🔬🕵️‍♀️🙇‍♀️*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* 🔥🔥🔥🔥🔥🔥