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In addition to being one of the easiest ways to populate the array, this is also a way to produce a sound that is very close to being a pure tone . By pure tone, I mean a sound that results from something vibrating at a single frequencysuch as Middle-C ((261.63 Hz) .

The shape of a sinusoid

If you have taken a math course in trigonometry, you probably know the shape produced by graphing the output from either the sin function or the cos function. If not, it would be good if you can ask a sighted friend to Google for "sinusoidal function image", download and print oneor more of the images and emboss them for you using whatever embossing method you prefer. This will provide you with a tactile representation of a sinusoid.

An audio graph of a sinusoid

In any event, I am going to provide you with a sound file named SinusoidalAudioGraph that provides an audio representation of the graph of a sinusoid.

This audio file contains an 8-second melody consisting of 32 uniformly spaced pulses at different frequencies. The frequencies (pitches) of the pulses are centered on middle-C (261.63 Hz) . The frequency deviation from middle-C versus time is based on a sinusoidal function with a frequency of 0.5 Hz.

Points on graph

Each pulse represents one point on a graph of thesinusoid. Pulses with frequencies at or above middle-C are delivered to the left speaker. Pulses with frequencies belowmiddle-C are delivered to the right speaker.

The audio output can be thought of as an audio representation of a graph of a sinusoid. Pulses with frequencies abovemiddle-C represent points on the positive lobe of the sinusoid. Increasing pitch represents increasing amplitude on the graph of the sinusoid.

Pulses with frequencies below middle-C can be thought of as representing points on thenegative lobe of the sinusoid. In this case, decreasing pitch represents points on the sinusoid that are further from the horizontal axis in the negativedirection.

Pulses with a frequency of middle-C can be thought of as representing points on the horizontal axis with a value of zero.

Four complete cycles of the 0.5 Hz sinusoid are represented by the 32 pulses in the 8-second melody.

Hopefully, by listening to this audio file, you can get an idea of the shape of a sinusoid.

A dual purpose

In addition to providing the audio file to help you discern the shape of a sinusoid, I am also providing it as an example of the type of audio files thatyou will be able to create once you understand the programs in upcoming modules.

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: Jbs2000-What is Sound?
  • File: Jbs2000.htm
  • Published: 08/25/14
  • Revised: 09/29/15
Disclaimers:

Financial : Although the OpenStax CNX site makes it possible for you to download a PDF file for the collection thatcontains this module at no charge, and also makes it possible for you to purchase a pre-printed version of the PDF file, youshould be aware that some of the HTML elements in this module may not translate well into PDF.

You also need to know that Prof. Baldwin receives no financial compensation from OpenStax CNX even if you purchase the PDF version of the collection.

In the past, unknown individuals have copied Prof. Baldwin's modules from cnx.org, converted them to Kindle books, and placedthem for sale on Amazon.com showing Prof. Baldwin as the author. Prof. Baldwin neither receives compensation for those sales nordoes he know who does receive compensation. If you purchase such a book, please be aware that it is a copy of a collection thatis freely available on OpenStax CNX and that it was made and published without the prior knowledge of Prof.Baldwin.

Affiliation : Prof. Baldwin is a professor of Computer Information Technology at Austin Community College inAustin, TX.

-end-

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
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Lambiv
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WARKISA
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appreciation
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explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
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Shukri
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Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
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Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
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Jabir
What do you think is more important to focus on when considering inequality ?
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Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
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In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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