Math and Music: An Introduction and Mathematical Analysis Essay

Problems #65 - #94 from page 311. Please provide your answer after each problem and submit the file with your answers through Blackboard.

Music is not simply a sound that we find pleasing. It is the culmination of notes, chords, rhythms, melodies, harmonies, voices, and instruments. Rhythm, melody, and harmony are the rudimentary elements of music. Rhythm is the most vital element of music. It is the beat and is arguable the reason that a song is initially appealing. I find it interesting that although the deaf cannot hear music they can feel a beat. Melody is the tune of a song and the part that is most recognizable. Melodies are made up of a succession of pitches, whose highness or lowness can dictate the overall mood of the piece. The harmony of a piece of music is designed to support and enhance the melody. The harmony is present to add depth to a piece of music. When I was part of the high school choir I was an alto; although the harmony was more difficult to learn, it was, as my choir director would put it, the “gravy” of the piece, meaning that even though the melody could stand easily by itself, the harmony adds an element far more

Having looked at the emotional effect this music has on people, it is now worth looking at the specific churches within the Sydney diocese to get a greater understanding on a smaller level as to how the music is played and what effect it might have. To do this, there have been visits to said churches to see what goes on, this is like a large scale of the participant observation methodology. This was a very useful in developing an understanding for how different churches of the same denomination were going about music as part of the service. There is some clear information that has come out from attending these churches. Firstly, and worth noting, the churches run very similar services, across most of the churches the structure of songs is the

This essay will reflect my thoughts on chapter 9. In brief this chapter deals with how the ears allow us to be able to hear and process sound. When I first think of sound I think of the frequency. This makes me think of songs that I listen too in order to determine it 's a high frequency or a low frequency. I 'll be able to determine the amount of hertz that are in songs on the radio. I do feel that it would be hard to determine because most of that music is reordered, hearing people sing a cappella would be easier to determine the amount of hertz present. I know what hertz are, but I 'm still not sure how they are actually determined? Are they sounds just determined by our brain if we have unimpaired hearing. How would someone like my brother with a whole in his ear be able to determine frequency?

With means to express oneself, helps one overcome the difficulties of life. This approach represents the entire nature of the hip hop culture, especially when dealing with social justice issues. Today, the hip hop culture association revolves around raps (lyrics) and the rappers which reflect how consumers receive messages about social justice issues. Unlike breaking and graffiti, the music/lyrics penetrate society more. However, for this analysis, the focus will rely on a visual element with a connection to hip hop music. Even though a music video would make sense as a visual means of expression, this analysis has more interest in the cover art that goes with a hip hop album. Also, this focus will lead to the question of how important is art

In this experiment, the signal generator was set so that the frequency meter showed a reading of 1,803 Hz. The microphone was moved to a distance from the speaker so that the oscilloscope displayed a straight diagonal line. This position was of the microphone was recorded as the initial position, or beginning of a wavelength. The microphone was then moved farther in the same direction until the oscilloscope displays the same horizontal line. This position was recorded as final position, or the end of the wavelength. The distance between the two positions represents one wavelength for this frequency. This was repeated for frequencies of 2,402 Hz, 3,002, Hz, 3,602 Hz, and 4,201 Hz.

To conclude we showed how use the Radical Formulas in each problem that we were working. We broke out each step so that we would have a better time understanding how one would answer this question. We have shown our work in hopes that other will be able to follow these same steps to find their solutions. We now have a better understanding of the Radical Formulas.

Music surrounds everyday life no matter where you are in the world. Hollow objects make notes when hit. Small wooden reeds, bamboos, and shells whistle when blown into. Anything tightly stretched twangs when plucked and the human voice has a delightful ability to go up and down at will. Even when wind rustles through the wind, birds chirp, or ocean wave’s tumbling is nature’s form of music. I constantly find myself being enthralled by the various forms music. You could say that in sense music as a whole is a form of art. The sounds that entwine harmonize, are rhythmically pleasing, have dynamics, etc., come together as a whole in order to compose a song. “Music produces a kind of pleasure which human nature cannot do without.” (Confucius)

Art is in its purest sense, humanity collectively trying to impress, relate, and grow with one another and themselves. Music is the art form that embodies all the greater characteristics from other art forms, and puts them into one. In the words of Frank Zappa “Art is how we decorate space, Music is how we decorate time.” Music carries the ability to paint pictures, tell stories, and even showcase the time period they came from.

Music is defined differently for each individual. It is the universal language that speaks to us all, but in different ways. It is one of the few genres that can instantly transport a person back to the past. Music is also an art of sound which expresses ideas, thoughts, and emotions in significant forms through the elements of rhythm, melody, and harmony. It is the design of giving structural form and rhythmic pattern to combinations of sounds produce instrumentally and vocally. To me, music brings a sense of calmness, happiness, and peacefulness. Music is the absolute bread of life because it feeds my soul.

Fibonacci sequence can have a connection with piano scales. Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89………… The C scale has 13 keys. The ratio is close to 0.618, this is known as the golden rule.

The definition of music is very different to many people. Some say that music is the arrangement of sound and silence. Others like myself say music is that and much more. Music is an aural form of art that is used to express emotion and touch the hearts of the listener through the use of phrasing, dynamics, style and tone color. Music is a very universal art form.

Ever since c. 17th century, musical compositions have manipulated the standard aspects of music, which include rhythm and melody. More importantly, many musical compositions have incorporated complex math within, for examples again, melodies and rhythms that create a uniqueness that has yet to be perfectly matched by other composers. One other key aspect of music in general, harmony, is where a fairly complex mathematical formula is involved: the harmonic mean. Because harmony is a major component of music, it is no surprise that this harmonic mean can be applied to nearly all types of music. Basically, a harmonic mean-as it applies to music-~is any possible division between an original note and the octave of that note that produces a different note.

2.1. Observation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 4~5

Theory states that T and d are related by the equation: T2 = kd3+ (4π2 l)/g where g is the acceleration of free fall and k is a constant.