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Maximizing the minimum

In popular music--as well as children's songs--repetition is often literal and direct. This makes the music morereadily accessible and immediately intelligible.

For instance, in this folk song sung by Pete Seeger, a short musical idea is repeated over and over exactly thesame--sixteen times in a mere thirty seconds. On top of the quickly cycling music, Seeger presents a rapid fire list ofanimal names...

What distinguishes classical music from most pop music is that, in classical music, the repetition is more frequently varied and transformed . This makes the repetition flexible, capable of assuming of many forms and moods. WhenElizabeth Barrett Browning writesshe is using varied repetition to make her point. Similarly, one of the guiding principles ofart-music is repetition without redundancy . The music will repeat its main ideas, but constantly in new ways. love thee purely,"

In the popular "South Beach Diet," dieters are at a first restricted to a very limited regimen of foods: no bread, fruit, alchohol or sugar. The challenge of the diet isto create a varied menu from such a circumscribed list of ingredients. Otherwise, the dieter will begin to stray. So, a lot ofeffort and inventiveness goes into designing recipes that makes the daily staples lively andtasty.

In classical music, the goal is similarly to maximize the minimum . That is, the goal is to take a limited number of ingredients and create the greatest possiblevariety. A composer such as Beethoven or Bartok can take just a few basic elements and create the musical equivalent of a complete meal of soup,main course, salad and dessert--all with distinctive flavors, so that you sometimes can't even recognize the presence ofthe same ingredients in every recipe.

Let us study the concept of varied repetition in several works.

The basic pattern of Bach'sis the following: C-Major Invention

This basic pattern is repeated over and over again throughout the piece, but in constantly new forms.

For instance, Bach plays the basic pattern in different registers :

Bach begins the basic pattern on different pitches:

Bach turns the pattern upside down:

Bach fragments the theme, dwelling on different segments of it.

In the next sample, he takes the first four notes and plays them at half-speed

Here, he takes the last four notes, and extends them into an exciting rising figure

He changes the groupings of the basic pattern, sometimes having several versions of the entire pattern in succession:

Finally, he changes how the pattern is echoed between the hands. Sometimes, the left hand leads:

Sometimes, the right hand leads. Notice, in this example, that Bach flips the basic pattern upside down and right sideup in alternation.

Now, please listen to the Bach: Invention in C-Major in its entirety.

All of these flexible repetitions are beautifully coordinated, so that the piece creates a clear opening,middle, climax and ending. The fact that the basic pattern occurs in every measure creates consistency . The fact that it rarely occurs the same way twice contributes to the music'smomentum and dynamism. Theis thus a case study in repetition without redundancy. C-Major Invention

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
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John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
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David Reply
what is viscosity?
David
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emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
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Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
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Muhammad Reply
fine, how about you?
Mohammed
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Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
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Source:  OpenStax, Sound reasoning. OpenStax CNX. May 31, 2011 Download for free at http://cnx.org/content/col10214/1.21
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