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Three Sarabandes(1877) by Erik Satie(1866-1925)
This piece of music started by piano with a really light soft and
slow melody and rhythm.
However, I found it boring due to the monophony of the music.
To me, it sounds too peacefully
and that is because it mainly focuses with lower keys and the
tempo is constantly same. On the
other hand, as it moves to the second movement, there is some
rhythm changes in some phrases,
it made the work more interesting. The harmonies sound
dissonant, but since the rhythm has
changed to a soft and “jumping” between each notes, that makes
this work to be a unique feeling
and it makes me as an audience happy. In the third movement,
which is the one I like to most
comparing with the previous two movements. It played with my
expectation because it has a
stronger rhythm and not only contains slow tempo, it changes to
faster tempo and suddenly to
slow tempo. Moreover, it also contains the elements of
Intermediate Cadence in the middle of
the work. This effect makes a unique feeling as well. Overall,
this work contains a strong rhythm
and it is soft and pleasant.
La Mer (1905)
La Mer is a piece of work that has a storyboard. It is clearly
noticed that there are many different
instruments playing at once which the texture is homophonic.
They work well together and it is
perfectly matches each other. Therefore, the piece sounds
interesting and comfortable since the
harmony is consonant. More importantly, the use of dynamic
makes this piece of work sounds a
story, it uses crescendo to show the climax of the work, and
uses differently instruments to play
different mood in the scene. As it moving forward, the rhythm
changes to a faster pace, the
harmony became dissonant and the dynamics is much louder and
therefore it created a tension
kind of feelings. In conclusion, this piece of music contains
different elements that instrument
clearly shows the different mood of the music and it is very
interesting to listen to.
Kammersymphonie(1906) by Arnold Schoenberg (1885-1951)
Kammersymphonie(1906) sounds like a piece of work that has a
storyboard as well. I found this
piece of work is sometimes too hard to focus on due to the
amount different musical line playing
at the same time. Also, there are some parts which many
instruments play at once and all of them
play very loud, this make it even more harder to focus. The
rhythm did a good job, sometimes
it’s fast and sometimes it’s slow, this slightly differences make
the music more interesting and it
helps to show the scene behind and to express the mood. Most
of the time, this piece has a high
tension. It uses finger to plucked the violent which make the
piece special. It plays a special
ticking sound. The uses of crescendo and decrescendo make the
work a stronger impression.
Overall, this piece of music makes me feel the storyboard
behind and a little depress mood.
Fun Satze by Anton Webern
This piece of work sounds really interesting, they had a very
high contrast comparison between
each sections. In the beginning the tone changed from a low
tone to a high tone, it becomes super
strong and infectious are super powerful. All instruments play
at once and became loud but
pleasant from a low ton. However, the middle is mostly quiet
and soft melody. It feels
comfortable to listen to. On the other hand, it changes again to
some kind of “spy movie” feeling
because all the instruments play secretly from low tone to high
tone and changes back and forth
again in a short period of time. There is some soft collaboration
between violin and viola. It
Actually it is mostly homophonic, with a main melody and
harmony accompaniment. Monophony relates to a single
melodic line played by one or more instruments/voices.
Please elaborate more on your description and give concrete
examples about the sonic characteristics of the music next time.
The texture alternates between homophony and polyphony.
Mostly consonant with many dissonant chords and melodies as
well.
You’re describing the pieces mostly in technical terms. Please
provide a more vivid description the music. How do they sound?
What are their unique characteristics (in terms of sound)?
Please include your full name at the top of the page on your
next asignment.
Please elaborate e on your description and give concrete
examples about the sonic characteristics of the music.
appears some fast rhythm with high tone notes. It shows high
contrast between two phrases.
Overall, this piece is very interesting due to the use of contrast
in some ways and the play of
instruments changed from low tone to high tone is a short
period of time makes the piece to a
different level, it leads me to fall into the scene.
Igor Stravinsky (1882-1971): L’Histoire du soldat (1918)
This piece of work is a conversation based instead of
instruments to present the work. It is totally
different from previous pieces. Although I could not understand
what the content is about, but
the use of flute and low tone gives audiences a depress feeling.
The background music is also
really quite therefore it makes the conversation become
prominent. The man used his deep and
thick voices to represent the low tone and gives the depress
feeling. In Marche du Soldat, this
piece tends to be more mystery since the tone increases with
dissonant harmony. On the other
hand, In the Grand Chorale, it tends to be more powerful, it has
better organized structure due to
the musical lines allowing to play at the same time. Overall the
work gives a serious and
depressing attitudes to audiences.
What about its melodies and harmonies? And timbre? How the
composer explored the sounds of the relatively limited pallette
of the string quartet? How Webern’s piece compare to
Schoenberg’s?
Give
Please elaborate more on your description and give concrete
examples about the sonic characteristics of the music.
1. A box is to be constructed from a sheet of cardboard that is
20 cm by 60 cm, by cutting out squares of length x by x from
each corner and bending up the sides. What is the maximum
volume this box could have?
2. Find the amplitude and period of y = –3cos(2x + 3).
Use your calculator to graph the function and state its
symmetry.
Find the first positive x-intercept using your calculator’s zero
function.
3. Find two functions f(x) and g(x) such that f[g(x)] = x but
g[f(x)] does not equal x.
4. State the vertical, horizontal asymptotes and zeros of the
rational function, f(x) = ${x^2+3x+2}/{x^2+5x+4}$.
Why is there no zero at x = –1?
5. Give an example and explain why a polynomial can have
fewer x-intercepts than its number of roots.
6. Let f be the function defined as follows:
a. If a = 2 and b = 3, is f continuous at x = 1? Justify your
answer.
b. Find a relationship between a and b for which f is continuous
at x = 1.
Hint: A relationship between a and b just means an equation in
a and b.
c. Find a relationship between a and b so that f is continuous at
x = 2.
d. Use your equations from parts (ii) and (iii) to find the values
of a and b so that f is continuous at both x = 1 and also at x = 2?
e. Graph the piece function using the values of a and b that you
have found. You may graph by hand or use your calculator to
graph and copy and paste into the document.
MORE ON THE NEXT PAGE
7. The twice–differentiable function f is defined for all real
numbers and satisfies the following conditions:
$f(0) = 3$
$f:′(0) = 5$
$f:″(0) = 7$
a. The function g is given by $g(x) = e^{ax} + f(x)$ for all real
numbers, where a is a constant.
Find g ′(0) and g ″(0) in terms of a. Show the work that leads to
your answers.
b. The function h is given by $h(x) = cos(kx)[f(x)] + sin(x)$ for
all real numbers, where k is a constant. Find h ′(x) and write an
equation for the line tangent to the graph of h at x=0.
c. For the curve given by $4x^2 + y^2 = 48 + 2xy$ show that
${dy} / {dx} = {y - 4x} / {y - x}$.
d. For the curve given by $4x^2 + y^2 = 48 + 2xy$, find the
positive y-coordinate given that the x-coordinate is 2.
e. For the curve given by $4x^2 + y^2 = 48 + 2xy$, show that
there is a point P with x-coordinate 2 at which the line tangent
to the curve at P is horizontal.

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Three Sarabandes(1877) by Erik Satie(1866-1925) This piec.docx

  • 1. Three Sarabandes(1877) by Erik Satie(1866-1925) This piece of music started by piano with a really light soft and slow melody and rhythm. However, I found it boring due to the monophony of the music. To me, it sounds too peacefully and that is because it mainly focuses with lower keys and the tempo is constantly same. On the other hand, as it moves to the second movement, there is some rhythm changes in some phrases, it made the work more interesting. The harmonies sound dissonant, but since the rhythm has changed to a soft and “jumping” between each notes, that makes this work to be a unique feeling and it makes me as an audience happy. In the third movement, which is the one I like to most comparing with the previous two movements. It played with my expectation because it has a stronger rhythm and not only contains slow tempo, it changes to faster tempo and suddenly to slow tempo. Moreover, it also contains the elements of Intermediate Cadence in the middle of the work. This effect makes a unique feeling as well. Overall, this work contains a strong rhythm and it is soft and pleasant. La Mer (1905) La Mer is a piece of work that has a storyboard. It is clearly noticed that there are many different instruments playing at once which the texture is homophonic. They work well together and it is
  • 2. perfectly matches each other. Therefore, the piece sounds interesting and comfortable since the harmony is consonant. More importantly, the use of dynamic makes this piece of work sounds a story, it uses crescendo to show the climax of the work, and uses differently instruments to play different mood in the scene. As it moving forward, the rhythm changes to a faster pace, the harmony became dissonant and the dynamics is much louder and therefore it created a tension kind of feelings. In conclusion, this piece of music contains different elements that instrument clearly shows the different mood of the music and it is very interesting to listen to. Kammersymphonie(1906) by Arnold Schoenberg (1885-1951) Kammersymphonie(1906) sounds like a piece of work that has a storyboard as well. I found this piece of work is sometimes too hard to focus on due to the amount different musical line playing at the same time. Also, there are some parts which many instruments play at once and all of them play very loud, this make it even more harder to focus. The rhythm did a good job, sometimes it’s fast and sometimes it’s slow, this slightly differences make the music more interesting and it helps to show the scene behind and to express the mood. Most of the time, this piece has a high tension. It uses finger to plucked the violent which make the piece special. It plays a special ticking sound. The uses of crescendo and decrescendo make the work a stronger impression. Overall, this piece of music makes me feel the storyboard behind and a little depress mood. Fun Satze by Anton Webern
  • 3. This piece of work sounds really interesting, they had a very high contrast comparison between each sections. In the beginning the tone changed from a low tone to a high tone, it becomes super strong and infectious are super powerful. All instruments play at once and became loud but pleasant from a low ton. However, the middle is mostly quiet and soft melody. It feels comfortable to listen to. On the other hand, it changes again to some kind of “spy movie” feeling because all the instruments play secretly from low tone to high tone and changes back and forth again in a short period of time. There is some soft collaboration between violin and viola. It Actually it is mostly homophonic, with a main melody and harmony accompaniment. Monophony relates to a single melodic line played by one or more instruments/voices. Please elaborate more on your description and give concrete examples about the sonic characteristics of the music next time. The texture alternates between homophony and polyphony. Mostly consonant with many dissonant chords and melodies as well. You’re describing the pieces mostly in technical terms. Please provide a more vivid description the music. How do they sound? What are their unique characteristics (in terms of sound)? Please include your full name at the top of the page on your next asignment. Please elaborate e on your description and give concrete
  • 4. examples about the sonic characteristics of the music. appears some fast rhythm with high tone notes. It shows high contrast between two phrases. Overall, this piece is very interesting due to the use of contrast in some ways and the play of instruments changed from low tone to high tone is a short period of time makes the piece to a different level, it leads me to fall into the scene. Igor Stravinsky (1882-1971): L’Histoire du soldat (1918) This piece of work is a conversation based instead of instruments to present the work. It is totally different from previous pieces. Although I could not understand what the content is about, but the use of flute and low tone gives audiences a depress feeling. The background music is also really quite therefore it makes the conversation become prominent. The man used his deep and thick voices to represent the low tone and gives the depress feeling. In Marche du Soldat, this piece tends to be more mystery since the tone increases with dissonant harmony. On the other hand, In the Grand Chorale, it tends to be more powerful, it has better organized structure due to the musical lines allowing to play at the same time. Overall the work gives a serious and depressing attitudes to audiences. What about its melodies and harmonies? And timbre? How the composer explored the sounds of the relatively limited pallette
  • 5. of the string quartet? How Webern’s piece compare to Schoenberg’s? Give Please elaborate more on your description and give concrete examples about the sonic characteristics of the music. 1. A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have? 2. Find the amplitude and period of y = –3cos(2x + 3). Use your calculator to graph the function and state its symmetry. Find the first positive x-intercept using your calculator’s zero function. 3. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x. 4. State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = ${x^2+3x+2}/{x^2+5x+4}$. Why is there no zero at x = –1? 5. Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots. 6. Let f be the function defined as follows: a. If a = 2 and b = 3, is f continuous at x = 1? Justify your answer.
  • 6. b. Find a relationship between a and b for which f is continuous at x = 1. Hint: A relationship between a and b just means an equation in a and b. c. Find a relationship between a and b so that f is continuous at x = 2. d. Use your equations from parts (ii) and (iii) to find the values of a and b so that f is continuous at both x = 1 and also at x = 2? e. Graph the piece function using the values of a and b that you have found. You may graph by hand or use your calculator to graph and copy and paste into the document. MORE ON THE NEXT PAGE 7. The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: $f(0) = 3$ $f:′(0) = 5$ $f:″(0) = 7$ a. The function g is given by $g(x) = e^{ax} + f(x)$ for all real numbers, where a is a constant. Find g ′(0) and g ″(0) in terms of a. Show the work that leads to your answers. b. The function h is given by $h(x) = cos(kx)[f(x)] + sin(x)$ for all real numbers, where k is a constant. Find h ′(x) and write an equation for the line tangent to the graph of h at x=0. c. For the curve given by $4x^2 + y^2 = 48 + 2xy$ show that ${dy} / {dx} = {y - 4x} / {y - x}$. d. For the curve given by $4x^2 + y^2 = 48 + 2xy$, find the
  • 7. positive y-coordinate given that the x-coordinate is 2. e. For the curve given by $4x^2 + y^2 = 48 + 2xy$, show that there is a point P with x-coordinate 2 at which the line tangent to the curve at P is horizontal.