-as of [13 JULY 2025]-
.
.
-MEASURES [RATIOS]-
(not just “sound pressure”)
(it can also be used to measure “electronic signals”)
(and many other variables)
.
-“SOUND INTENSITY” IS MEASURED IN [DECI-BELS]-
.
-“SOUND POWER” IS MEASURED IN “WATTS”-
.
-“SOUND PRESSURE” IS MEASURED IN “PASCALS”-
(WHEN WORKING WITH AUDIO, “DECIBEL METERS” ARE USUALLY MEASURING RATIO OF “SOUND PRESSURE”)
.
-THE [LOWER THRESHOLD] OF [HUMAN HEARING] IS [20 MICRO-PASCALS]-
-THIS VALUE IS USED AS [DENOMINATOR] OF YOUR [PRESSURE RATIO]-
.
*PRESSURE RATIO* —>
(IN “MICRO-PASCALS”)
-[CURRENT PRESSURE] / [20]-
.
*DECIBELS* —>
-[log(pressure ratio) x 20]-
.
-the “bel” is named after “alexander graham bell”-
-it was developed at “bell laboratories”-
-presented in 1924-
(2 years after bell’s death)
.
*ALEXANDER GRAHAM BELL* —>

(1847 – 1922)
-SCOTTISH INVENTOR OF THE [TELEPHONE]-
.
-the decibel (dB) is 1/10 of a ‘bel’-
.
*the bel (B) is 1⁄2 ln(10) nepers*
1 B = 1⁄2 ln(10) Np
.
ln(10) = [~2.3026]
.
-[1 bel] = [1.1513 nepers]
.
*JOHN NAPIER* —>

(1550 – 1617)
-SCOTTISH MATHEMATICIAN-
-“DISCOVERED” LOGARITHMS-
.
.
*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”-

.
.
.
*👨🔬🕵️♀️🙇♀️*SKETCHES*🙇♂️👩🔬🕵️♂️*
.
.
.
.
.
💕💝💖💓🖤💙🖤💙🖤💙🖤❤️💚💛🧡❣️💞💔💘❣️🧡💛💚❤️🖤💜🖤💙🖤💙🖤💗💖💝💘
.
.
*🌈✨ *TABLE OF CONTENTS* ✨🌷*
.
.
🔥🔥🔥🔥🔥🔥*we won the war* 🔥🔥🔥🔥🔥🔥