![]() They will begin by watching a video of musicians playing a single note on four different instruments. Inform students that they will be investigating the mathematics behind sound in class.Before starting the Mathematics Behind Sound lesson, it may be helpful to work through (or review) The Science of Sound lesson as a class before beginning this lesson, as it introduces some of the terminology and basic concepts used in this lesson.Devices that allow students to access the internet.A spectrometer is often used to measure the frequency spectrum of a sound over time.Ĭomprehending and being able to calculate the mathematics behind sound – including amplitude, envelope, frequency, and spectrum – not only leads to a deeper understanding into the physical nature of sound, but is also essential knowledge for musicians and audio engineers who seek to express themselves through sound. The various frequencies a sound produces can be measured in decibels, creating a spectrogram of the sound. Most of the instruments and objects that create sound vibrate in multiple ways, creating not a single frequency, but a spectrum of frequencies. Spectrum represents how many different frequencies a sound produces. An oscilloscope is an electronic device that is often used to measure and visualize a sound’s frequency. The frequency of a sound can be calculated by dividing the rate of the compressions and rarefactions by the length of a soundwave. It is called pitch in musical terminology, and is measured in hertz. It is measured in decibels in time (usually milliseconds), and is often visually represented and analyzed as a waveform.įrequency defines how high or low a sound is. In musical terms, envelope is often described as articulation. Amplitude is calculated in decibels, a logarithmic scale, and measured over time with a level meter.Įnvelope defines how the amplitude of a sound changes over time. In musical terms, it is often known as dynamics. These variables include:Īmplitude measures the volume of a sound. Many of the variables which contribute to a sound’s particular quality are measurable thanks to the work of scientists and mathematicians who have created systems that allow us to calculate sound in various ways. Determining and calculating these variables allow someone to understand the mathematics behind sound. But the variations in how such vibrations occur are nearly limitless, creating every sound imaginable, and all the world’s musical traditions. Scientifically speaking, sound is nothing more than the vibratory movement of air molecules. Students use mathematics to compare and contrast the amplitude, envelope, frequency, and spectrum of each of the four sounds, thereby coming to a better understanding of what physical phenomena contribute to an instrument’s unique sound. Get UNLIMITED ACCESS to every printable resource on MakingMusicFun.In this lesson, students examine the mathematics behind sound by identifying four mathematical variables that define the particular quality of a sound by closely analyzing the sound of four different musical instruments.It All Adds Up | Rhythm Worksheet V (Quarter, Eighth and Sixteenth Notes) ![]() It All Adds Up | Rhythm Worksheet IV (Dotted Quarter, Quarter, and Eighth Notes) It All Adds Up | Rhythm Worksheet III (Whole, Dotted Half and Half Notes) ![]() It All Adds Up | Rhythm Worksheet II (Half, Quarter, and Eighth Notes) When the first worksheet is mastered, ask students to try the next one. It All Adds Up | Free Music Rhythm Worksheet I is a great place to start. Get the Whole Set of Free Rhythm WorksheetsĮach worksheet provides students with a chance to drill and practice a different set of rhythmic values. This activity is great fun for the music classroom, as kids work together in pairs racing to be the first to complete the worksheet. Provide the answers for the first column of "facts", and then try to beat your score with more correct answers, or by racing the clock to complete the second and third columns in record time. It All Adds Up | Free Music Rhythm Worksheet Iĭrill three essential rhythmic values (whole, half and quarter note) with this musical math fact worksheet.
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