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An introduction to the expanded music theory course, with suggestions on how to use the materials.

Although it is significantly expanded from "Introduction to Music Theory", this course still covers only the bare essentials of music theory. Music is a very large subject, and the advanced theory that students will want to pursue after mastering the basics will vary greatly. A trumpet player interested in jazz, a vocalist interested in early music, a pianist interested in classical composition, and a guitarist interested in world music, will all want to delve into very different facets of music theory; although, interestingly, if they all become very well-versed in their chosen fields, they will still end up very capable of understanding each other and cooperating in musical endeavors. The final section of this course does include a few challenges that are generally not considered "beginner level" musicianship, but are very useful in just about every field and genre of music.

The main purpose of the course, however, is to explore basic music theory so thoroughly that the interested student will then be able to easily pick up whatever further theory is wanted. Music history and the physics of sound are included to the extent that they shed light on music theory. Students who find the section on acoustics (The Physical Basis) uninteresting may skip it at first, but should then go back to it when they begin to want to understand why musical sounds work the way they do. Remember, the main premise of this course is that a better understanding of where the basics come from will lead to better and faster comprehension of more complex ideas.

It also helps to remember, however, that music theory is a bit like grammar. Languages are invented by the people who speak them, who tend to care more about what is easy and what makes sense than about following rules. Later, experts study the best speakers and writers in order to discover how they use language. These language theorists then make up rules that clarify grammar and spelling and point out the relationships between words. Those rules are only guidelines based on patterns discovered by the theoreticians, which is why there are usually plenty of "exceptions" to every rule. Attempts to develop a new language by first inventing the grammar and spelling never seem to result in a language that people find useful.

Music theory, too, always comes along after a group of composers and performers have already developed a musical tradition. Theoreticians then study the resulting music and discover good ways of explaining it to the audience and to other composers and performers. So sometimes the answer to "Why is it that way?" is simply "that's what is easiest for the performer", or "they borrowed that from an earlier music tradition".

In the case of music, however, the answers to some "why"s can be found in the basic physics of sound, so the pivotal section of this course is an overview of acoustics as it pertains to music. Students who are already familiar with notation and basic musical definitions can skip the first sections and begin with this introduction to the physical basis of music. Adults who have already had some music instruction should be able to work through this course with or without a teacher; simply use the opening sections to review any concepts that are unclear or half-forgotten. Young students and beginning musicians should go through it with a teacher, in either a classroom or lesson setting.

There is, even within the English-speaking world, quite a variety of music teaching traditions, which sometimes use different terms for the same concepts. The terms favored in this course are mostly those in common use in the U.S., but when more than one system of terms is widely used, the alternatives are mentioned.

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Understanding basic music theory. OpenStax CNX. Jan 10, 2007 Download for free at http://cnx.org/content/col10363/1.3
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