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Link between math and music
Link between math and music
Music is math
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Math and Music: An Introduction and Mathematical Analysis
Rhythm and Frequency
To understand the relation between math and music, the primary step is to study the nature of rhythm, frequency and amplitude. Everything around us has its own pattern of rhythm, from the motion of protons and neutrons, to the beats in rock music. Rhythm is determined by the periodicity of vibration of certain object in its surrounding substance, or medium. The vibration is repeated at a constant time length, thus creating wave motion. The repeated portion of the rhythm is referred as a cycle, or one wave. There are two types of wave motion: transverse waves and longitudinal waves. The particles in a transverse wave vibrate perpendicular to the direction in which it is traveling. In a longitudinal wave, however, the particles vibrate parallel to the direction in which it is traveling.
Consider the difference in human voice, animal noises and instrumental sounds. The unique characteristic of sound results from amplitude and frequency. Amplitude refers to the distance from crest or trough of the wave to its equilibrium position. Frequency is a term that describes the number of waves, or vibrations, that pass a given point per second (Stenstedt 28). It is inversely proportional to the wavelength, which is the distance of one wave cycle. Frequency can be evaluated in the pitch of a tone: a higher pitch has a higher frequency. A simple tone has constant frequency and amplitude, and its graph is similar to a sine curve. Tones that are more complicated result from combinations of several simple curves. The smallest pure tone frequency in complex tunes is called fundamental frequency. Integer multiples of the fundamental frequency make the resulta...
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...umentation) + (Lyrical Content) = Genre? T + K + R + I + L= G
Average results: Tempo: 84.6 bpm Key: Major Rhythm: Slow, Steady, less prominent, more background oriented Instrumentation: Acoustic guitar, steel guitar, bass guitar, Lyrical Content: Physical appearance, Physical relationships, summertime, the types of cars one drives.
References
Director, B. (1994). What mathematics can learn from classical music. Fidelio Magazine, 3(4).
F.Putz, J. (1995, October). The golden section and the piano sonatas of mozart. Mathematics
Magazine, 68(4), 275-282.
L.Crocker, R. (1964). Pythagorean mathematics and music. The Journal of Aesthetics and Art
Criticism, 22(3).
Loy, G. (2006). Musimathics: The mathematical foundation of music. (2nd ed., Vol. 1).
Cambridge: MIT Press.
Stenstedt, K. (1995). Math and music. Palo Alto: Dale Seymour Publications.
The sixth genre was R&B (Bruno Mars: Young Girls). The first and second readings were 96/54 mmHg. The third was 98/57 mmHg and the fourth was 97/56 mmHg. The seventh genre was Pop Rock (The Script: Moon Boots). The first reading was 98/55 mmHg, the ...
The genre of this album can be described as pop and rock. Yet the album has the musical styles of Alternative Pop/Rock, Punk Rock, and somewhat Indie/Underground. When I first heard this album I already had some knowledge about the songs, but I never took the time to notice how the music sounded. The introduction seems faster than the rest of the album and has a more upbeat sound to it. Although it is not completely rock because they do not seem to be rocking out like some of the other past rockers in the class. Many of the s...
Introduction — includes the definition statement of the full name of the song, the artist, the composer, the date it was recorded, where the version you analyzed was recorded, and other relevant song facts
The main goal of the very talented English music composer and conductor Benjamin Zander was to convince his audience through his very interesting and inspirational video, “The Transformative Power of Classical Music” that ‘Classical Music is for every one’. He was not only able to keep the attention of his audience growing with his splendid performance but also was able to make them understand the depth of classical music. He chose the most beautiful piece of classical music in order to make sure that his audience love it.
At any point in the air near the source of sound, the molecules are moving backwards and forwards, and the air pressure varies up and down by very small amounts. The number of vibrations per second is called the frequency which is measured in cycles per second or Hertz (Hz). The pitch of a note is almost entirely determined by the frequency: high frequency for high pitch and low for low .
“When done correctly, there may not be another genre in all of music with more substance within its texture.” This line was said by Colin McGuire, a blogger who wrote a blog on his Top 10 Lyricists in the history of hip-hop. Lyricists? Isn’t hip-hop that music genre where rappers talk bout fast cars, women and money over energetic, bass-heavy beats? The average listener may ask this. Hip-hop lyrics are widely misunderstood because people aren’t educated on the genre, some people are prejudice and it’s just “black” music to them, and the radio only plays the energetic, bass-heavy party songs.
Music has been around since the dawn of time, ever since man first inhabited this planet we have learned to communicate in ways other then conventional speaking. Different Cultures all have there own specific way of communicating through music. Music is basically broken into two specific groups Eastern Music and Western Music. Eastern music is mainly derived from the orient and India. While, Western music first emerged from Europe. Western music has developed in many ways since the middle ages through its form, sound, and message.
The definition of the word genre is “a category of artistic composition, as in music or literature, characterized by similarities in form, style or subject matter” (Merriam Webster). These categories are what is used to classify music into different genres. The 5 most popular genres of music include heavy metal, rock n' roll, alternative, hard rock, and classical.
Composition music theory has a longing history of how it was brought up and the way it has evolved into new cultures. “Musical Composition, the act of conceiving a piece of music, the art of creating music, or the finished product. These meanings are interdependent and presume a tradition in which musical works exist as repeatable entities. In this sense, composition is necessarily distinct from improvisation.” (Crossley-Holland, Peter)
‘Analysing popular music: theory, method and practise’ (Tagg, 1982) is an article that illustrates brilliantly the issues and nuances of analysing and discussing popular music. It lays out a scientific method for achieving analytical goals, using some of Tagg’s previous work to help explain his methodology and process. In the first part of this essay, I will discuss the analysis of ‘Kojak Theme’ (Goldenberg, 1973) and ABBA’s ‘Fernando’ (ABBA, 1976) that Tagg writes about in his work.
We begin with rhythm because it is basic to all music. Rhythm refers to the interrelationship between music and time. Music even in its simplest form, exists in time. Whether we are speaking of Beethoven's Ninth Symphony or just one note, there is a beginning a duration. and an ending.Although we often compare music and art, they are dissimilar in at least this one respect. When you look at a painting, your eve sees it all at once. Music is more like dance. plays, books, movies, and even baseball games. All of these develop through time.' We cannot listen to Beethoven's Ninth Symphony. read War and Peace, or watch the seventh game of the World Series in an instant. We must allow each to unfold over its own appropriate period of time. Furthermore. each has an internal pace of activity. with moments of exciting activity alternating with moments in which the action subsides.
In physics, music is essentially a form of energy and is transferred by a wave. There are two basic kinds of waves. The first is a transverse wave where the medium vibrates at a right angle up and down causing the wave to move to the right. A compressional wave (or longitudinal wave) moves to the right and left because the medium vibrates in the same direction. Sound waves take the form of compressional waves and are caused by vibrations. Sound waves are distinguished by their speed, pitch, loudness and quality (timbre) (Lapp, 2003).
Ever since I was merely five years old, I have always been in love with dance and mathematics. Math has always been my favorite subject in school, and my favorite time of the day has always been dance, where I can let my emotions out on the dance floor. Around high school, however, is when I determinately took notice that there is a possible connection between the work I perform in both of these areas. I realized that when I dance, I create shapes, patterns, angles and combinations, comparable to the ones I engender in mathematics.
Sound is essentially a wave produced by a vibrating source. This compression and rarefaction of matter will transfer to the surrounding particles, for instance air molecules. Rhythmic variations in air pressure are therefore created which are detected by the ear and perceived as sound. The frequency of a sound wave is the number of these oscillations that passes through a given point each second. It is the compression of the medium particles that actually constitute a sound wave, and which classifies it as longitudinal. As opposed to transverse waves (eg. light waves), in which case the particles move perpendicular to the direction of the wave movement, the medium particles are moving in the same or opposite direction as the wave (Russell, D. A., 1998).
Speaking of how the human ear receives music, sound is produced by vibrations that transmits energy into sound waves, a form of energy in which human ears can respond to and hear. Specifically, there are two different types of sound waves. The more common of the two are the transversal waves, which ...