Acoustics
PIRA classification 3C
3C10. The Ear
PIRA # |
Demonstration Name |
Subsets |
Abstract |
3C10.10 |
model of the ear |
|
|
3C10.20 |
time resolution of the earv |
|
|
3C10.20 |
binaural hearing |
|
Hold the ends of a long tube to each ear and have someone tap in the center and then a few centimeters to each side. |
3C10.21 |
direction judgment of the ear |
|
High frequency location depends on difference in intensity produced by the shadow of the head. |
3C10.21 |
direction judgment of the ear |
|
Location of low pitched sounds depends on phase difference. Use a model stethoscope with one tube longer than the other. |
3C10.30 |
bone conduction |
|
|
3C20. Pitch
PIRA # |
Demonstration Name |
Subsets |
Abstract |
3C20.10 |
range of hearing |
pira200 |
Use an oscillator driving a good audio system to demonstrate the range of hearing. |
3C20.10 |
range of hearing |
|
A set of good speakers is used to test the student's range of hearing. |
3C20.10 |
range of hearing |
|
An oscillator driving a good audio system is used to demonstrate the range of hearing. |
3C20.11 |
range of hearing |
|
Use whistles, forks, etc. to establish upper range of hearing or an audio oscillator from 10 to 30,000 Hz. |
3C20.15 |
Galton whistle |
|
The Galton whistle can be adjusted to produce an intense sound into the ultrasonic range. |
3C20.16 |
ultrasonic waves |
|
A set of steel rods tuned to frequencies up to 30 KHz are struck with a hammer and the sound both heard and displayed on an oscilloscope. |
3C20.17 |
ultrasonic vibrations of quartz |
|
Making an ultrasonic transducer and using it to make a fountain and emulsion. |
3C20.20 |
zip strips |
|
|
3C20.25 |
musical bottles |
|
Blow across a set of bottles with water levels adjusted to give a scale. |
3C20.30 |
siren disc |
|
An air jet is directed at a rotating disc with holes. |
3C20.30 |
siren disc |
|
Air is blown through concentric rows of regularly spaced holes on a spinning disc. Change of speed of the disc changes frequencies but not intervals. |
3C20.30 |
siren disc |
|
A disc with concentric ring of equally spaced holes is spun by a motor and a jet of air is blown at each circle of holes. |
3C20.40 |
frequency and pitch |
|
A set of gears on a single shaft of a variable speed motor have the ratios of 44-47-49-52-55-59-62-66-70-74-78-83-88. |
3C20.40 |
musical saw |
|
A card is held against a dull saw as the speed is varied. |
3C20.40 |
tooth ratio scale |
|
A set of gears with 44-47-49-52-59-62-66-70-74-83-88 teeth are mounted coaxially on a shaft connected to a variable speed motor. Varying the speed shows intervals are determined by frequency ratios rather than absolute pitch. |
3C20.40 |
Savart wheel |
|
Hold a stiff cardboard against the rim of a spinning toothed wheel. Use wheels on the same shaft each with different numbers of teeth. |
3C20.40 |
Savart's wheels |
|
A major chord is produced when a cardboard is held against rotating wheels with tooth ratios of 3:4:5:6. |
3C20.40 |
gear and card |
|
Hold a card against gears on a common shaft with teeth in ratio of 4:5:6:8. |
3C20.41 |
saw blade organ |
|
Several saw blades are mounted on the same rotating shaft with sound produced by amplifying the output of a coil pickup. A band of switches selects the active blades, allowing chords to be played. |
3C20.45 |
pitch sort of |
|
Many examples of sound of poor quality but with some definite pitch. E.g., a thumbnail on a book cover. |
3C20.70 |
sound cart |
|
All the instrumentation for a physics of sound course is loaded on one mobile cart. |
3C30. Intensity and Attenuation
PIRA # |
Demonstration Name |
Subsets |
Abstract |
3C30.20 |
dB meters and horn |
pira200 |
Place dB meters in the class at 2 meter intervals, then blow a loud horn. |
3C30.21 |
dB meter and horn |
|
An air horn driven by a compressed air tank gives a 120 dB sound at close range. Use a dB meter to measure the intensity at various ranges. |
3C30.21 |
air horn |
|
A railroad horn blown from a tank of compressed air has a nearby intensity of 110 dB. |
3C30.22 |
|
A sound level meter is used to measure the intensity of the instructor speaking, the audience, etc. |
|
3C30.30 |
loudness (phones and sones) |
|
|
3C30.35 |
hearing -3dB |
|
A function generator with a dB meter is used to quickly adjust to half power. |
3C30.36 |
3 dB |
|
One and two students pound the table equidistant from an observer. |
3C30.41 |
attenuation of materials |
|
place various materials between a sounding board and a tuning fork stuck in a block of wood. |
3C30.42 |
modified tuning fork resonance box |
|
The tuning fork is removed from a resonance box and a rod, string, and water are interposed. |
3C30.43 |
attenuation in CO2 |
|
A high pitched tone transmitted through a 10' pipe will be attenuated when filled with CO2. |
3C30.45 |
acoustical tiles |
|
Show various acoustical tiles. |
3C40. Architectural Acoustics
PIRA # |
Demonstration Name |
Subsets |
Abstract |
3C40.10 |
room reverberation time |
|
Go around and record pistol shots in various rooms, then determine reverberation time at different frequencies with some equipment in the classroom. |
3C40.10 |
reverberation time |
|
Students clap hands to generate sound for reverberation time. |
3C40.10 |
reverberation time |
|
Study the reverberation time of a room. |
3C40.10 |
reverberation time |
|
Measure reverberation time of the classroom with a dB meter. (-60dB) |
3C40.11 |
reverberation tube |
|
Measure the time required for sound to die in a tube that can be fitted with caps of various materials. |
3C40.20 |
ripple tank acoustics |
|
Cross sectional models of various auditoriums are used in a ripple tank to show scattering and reflection. |
3C50. Wave Analysis and Synthesis
PIRA # |
Demonstration Name |
Subsets |
Abstract |
3C50.10 |
Pasco Fourier synthesizer |
|
The Pasco Fourier synthesizer allows one to build an arbitrary waveform with up to nine harmonics. |
3C50.10 |
Pasco Fourier synthesizer |
|
The Pasco Fourier synthesizer is used to build up a square wave. |
3C50.10 |
Pasco Fourier synthesizer |
|
The Pasco Fourier synthesizer allows one to build an arbitrary waveform out of up to nine harmonics. |
3C50.10 |
Fourier synthesizer |
|
Use the Pasco Fourier synthesizer to demonstrate building square and triangle waves. |
3C50.12 |
electronic music synthesizer |
|
The principles of an electronic music synthesizer and its use in demonstrations. |
3C50.12 |
electric organ as synthesizer |
|
The timbre of a musical note is demonstrated by showing an oscilloscope trace of an electric organ while changing the drawbars. |
3C50.13 |
electromechanical Fourier synthesize |
|
A set of eight mechanically geared potentiometers generate sine/cosine waves and harmonics. |
3C50.13 |
mechanical multichannel generator |
|
A four channel mechanical signal generator is used to show a fundamental and two harmonics. Picture. Construction details in appendix, p. 626. |
3C50.14 |
synthesizer |
|
The PAiA 2720 Synthesizer used with an oscilloscope for ten demonstrations. |
3C50.14 |
waveform synthesizer |
|
Oscillators tuned to 1, 2, 3, 4, and 5 Khz have variable amplitude and phase. External input and an audio amp are also included. |
3C50.14 |
waveform synthesizer |
|
A waveform synthesizer based on the Intel 8748 microcontroller is described along with some theory and an experiment. |
3C50.15 |
mechanical square wave generator |
|
Shadow project a mechanism with a small disc mounted at the edge of a larger disc with 1/3 the diameter geared to rotate 3 times as fast as the larger disc. |
3C50.18 |
arbitrary waveform generator |
|
Sweep a high freq signal at a low freq on an oscilloscope with a mask cut out to the shape of the wave desired and look at it with a photocell. |
3C50.30 |
Helmholtz resonators and microphone |
|
Hold a small microphone individually to a set of Helmholtz resonators. |
3C50.31 |
Helmholtz resonator |
|
Sound from a loudspeaker is directed at a series of Helmholtz resonators with pinwheel detectors at their small apertures. |
3C50.31 |
ganged resonance boxes |
|
A pistol is fired in front of a set of tuning fork resonance boxes equipped with inductive pickups. Picture. |
3C50.33 |
resonance in a box |
|
A complex setup to plot the frequency spectrum of a box. Pictures, Diagrams. |
3C50.34 |
resonant response of vocal cavities |
|
Use a fake larynx to talk without using the vocal cords. |
3C50.35 |
resonance tube spectrum |
|
Drive a speaker at one end of a tube with the swept frequency output of a spectrum analyzer. |
3C50.36 |
air column resonance spectra |
|
Use a storage scope and two function generators to display the swept spectrum. Interesting additions are end corrections, tone holes, and adding a bell. |
3C50.37 |
radiation patterns of horns |
|
Feed a oscillator or other sound to any one of four different types of horns to show differences in quality at various frequencies. |
3C50.40 |
harmonic tones (vibrating string) |
|
|
3C50.40 |
string resonance spectra on oscillo. |
|
Sweep the source generator and oscilloscope horizontal from a generator. Use a steel wire and guitar pickup. |
3C50.40 |
resonances in strings |
|
Excite a steel string with a linearly swept sinusoidal signal and show the output on a spectrum analyzer or storage oscilloscope. |
3C50.50 |
noise (pink and white) |
|
|
3C50.55 |
distinguishing harmonics |
|
A generator with an adjustable high Q bandpass filter allows one to train the ear to pick out the harmonics of a complex sound. |
3C50.55 |
distinguishing harmonics |
|
The circuit diagram for the Gronseth device. |
3C50.70 |
wave analysis (PASCO filter) |
|
|
3C50.80 |
spectrum analyzer |
|
|
3C50.81 |
RLC bank harmonic analyzer |
|
A bank of RLC circuits covering to the tenth harmonic of 235 Hz is used as a harmonic analyzer. Diagram. |
3C50.82 |
LC harmonic analyzer |
|
Sweep a square wave generator through a single LC filter and detect maximum at harmonics of the fundamental. |
3C50.83 |
low cost spectrum analyzer |
|
A circuit for a 100 kHz spectrum analyzer using a standard oscilloscope for display. |
3C50.83 |
spectrum analyzer - Tek 5L4N |
|
The Tek 5L4N spectrum analyzer plug-in is used with a camera (instead of a storage scope) to show the spectrum of sustained tones from musical instruments at different pitch and loudness. |
3C50.94 |
FFT on 6502 |
|
A FFT algorithm relocatable to any 6502 is available from the author. |
3C50.94 |
microcomputer based analyzer |
|
Discusses algorithms for cross correlation and sound intensity analysis. |
3C55. Music Perception and the Voice
PIRA # |
Demonstration Name |
Subsets |
Abstract |
3C55.20 |
pitch of complex tones |
|
Use an Apple computer to generate complex tones. Students judge the pitch. |
3C55.25 |
missing fundamental |
|
Microcomputers with built-in tone generators are handy for generating "missing fundamental" demonstrations. |
3C55.26 |
sing/whistle - which octave |
|
Whistle and sing into a three foot pipe and use the resonances to show your whistling range is much higher than your singing range. |
3C55.30 |
difference tones |
|
|
3C55.30 |
subjective tones |
|
A toy whistle emits tones at 2081, 1896, and 1727 Hz. Subjective difference tones at 169, 185, and 374 Hz are clearly audible. |
3C55.31 |
combination tones and the ear |
|
Explanation of how the nonlinear ear creates difference tones and common examples of the phenomena. Two demonstrations: sweep with a second oscillator to find the difference tone, add 200, 300 and 400 Hz to hear 100 Hz. |
3C55.35 |
difference tones and beats |
|
Two pure tones produce beats or difference tones. Theory and a demonstration that trains our ears to hear and distinguish the two. |
3C55.35 |
beats on scope, difference tones |
|
The usual two oscillators, amplifier, and scope. For difference tones, set one oscillator above the audible range and the difference tone is the only thing the student can hear. |
3C55.35 |
beats on scope, difference tones |
|
Two audio oscillators drive two speakers. A microphone pickup displays the sum on an oscilloscope. ALSO - difference tone. |
3C55.40 |
chords |
|
Using the three string sonometer to study the structure of chords by varying the bridge location of strings tuned in unison. |
3C55.41 |
circular glockenspiel |
|
Mallets can be put in any of twelve holes on a spool to play major, minor, augmented, and diminished cords on a circular glockenspiel. |
3C55.42 |
consonant musical intervals |
|
Consonant and dissonant intervals are explained by a relation between the time required to perceive a definite pitch and the period of a complex tone. |
3C55.45 |
consonance and dissonance |
|
|
3C55.45 |
harmonious notes |
|
Using the sonometer to demonstrate the harmonic content of different interval combinations. |
3C55.50 |
musical scale |
|
|
3C55.51 |
numerical investigation of scales |
|
An investigation of why the 12 note scale is the best equal tempered scale. |
3C55.51 |
quantitative investigation of scales |
|
A quantitative measurement of how well any tuning succeeds in providing just intonation for any specific piece of music. |
3C55.51 |
scales and algebraic groups |
|
On transposing. |
3C55.52 |
lucky equal temperaments |
|
An analysis of how good the fits of 12, 19, 31, and 53 steps per octave are in equally tempered scales. |
3C55.55 |
piano tuning |
|
On making use of instrumentation to help with piano tuning. |
3C55.55 |
piano tuning |
|
A pianist discusses the finer points of piano tuning. |
3C55.55 |
piano tuning |
|
On "stretching" the equally tempered scale. |
3C55.55 |
tuning forks with resonators |
|
A set of tuning forks mounted on resonance boxes make the musical scale. |
3C55.55 |
tuning fork resonance boxes |
|
A set of four different tuning forks on resonant boxes. |
3C55.55 |
tuning forks on resonant boxes |
|
Two tuning forks, two boxes. Show the box needs to be matched to the fork. |
3C55.60 |
Johnson intonation trainer |
|
A small organ that is switched between fixed and variable tuning to demonstrate even tempered and just intonation. |
3C55.65 |
tone quality |
|
A series of organ pipes tuned carefully to give the harmonics of a fundamental can be used to show the effect of suppressing various harmonics. |
3C55.70 |
microphone and oscilloscope |
|
Show the output of a microphone on an oscilloscope. |
3C55.71 |
sound wave on oscilloscope |
|
Show a sound wave on the oscilloscope while listening to it. |
3C55.72 |
tone quality |
|
Using a microphone and oscilloscope, demonstrate that a tuning fork does not produce a pure sine wave but a fork on a resonance box does. |
3C55.73 |
tone quality of a Boehm flute |
|
Harmonic analysis of rich and dull tones from the Boehm flute. |
3C55.74 |
keyboard and oscilloscope |
|
|
3C55.75 |
forms of sounds |
|
A variant of the circuit produces roulette figures, etc. |
3C55.75 |
voice display - corridor demo |
|
A circuit to advance the horizontal 45 degrees and retard the vertical 45 degrees to give a circular trace when a falsetto "o-o-o" is sung. |
3C55.80 |
formants |
|
Sing formants into a HP analog spectrum analyzer. |
3C55.80 |
vocal formants |
|
Use an computer based real time spectrum analyzer to display vocal formants. |
3C55.82 |
tone quality |
|
Using a phonelescope or oscilloscope, sing the different vowels at the same pitch and the same vowels at different pitches. |
3C55.85 |
filtered music and speech |
|
|
3C55.85 |
octave-band filters |
|
Use an octave-band filter (from an audio store) to demonstrate filtered music and speech. |
3C55.90 |
Book/CD review - piano acoustics |
|
Review of a book "Acoustics of the Piano" that comes with a CD that includes examples used in the lectures. |
3C55.90 |
musical sound records |
|
The Science of Sound - Bell Labs, Energy and Motion - Zaret and Singer, Experimental Songs - Dorothy Collins, Space Songs - Tom Glazer & Dottie Evans, Physics Songs - State University of Iowa. |
3C55.99 |
churchbell guitar |
|
Swing a guitar back and forth as it is plucked to mimic a church bell. |