Paper Example on Theory of Vibrations

2021-05-25 12:41:03
7 pages
2034 words
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Carnegie Mellon University
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Research paper
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Sounds are made up of vibrations that determine the amount of sound that our ears perceive. We hear sounds through our ears in the form of waves. The ears sense the vibrations in rarefactions and compressions of the air pressure that creates the sound that we hear. Our ears have a widespread perception of these vibrations from as low as 20 times per second to the highs of 20,000 times per second. Nevertheless, sound moves at a speed of 1000 feet per second (Malcolm, 1). The sound is applicable in many mediums and is very vital for communication. The sound is the primary tool of music. Music is composed of different variant frequencies of sounds that are simultaneous and have different highs and lows. In music, a melody will be described as a single sound of different frequencies that has a definitive song to its flow.

The manner in which vibrations interact in frequency is very crucial especially to musicians who use the art of sound to make money. In music, a harmony is described as when there is one sound present simultaneously while a rhythm is when the frequencies are below our hearing capabilities. Music comes from vibrating objects such as drums, strings, cymbals, bells, wooden and even metallic blokes. The mechanics of producing a sound begins from a single string vibrating a number times say 1, 2,3,4,5.... Notably, each vibration is a multiple of the original wave (Malcolm, 2). A repetition of the same sequence creates a rhythm in the mind of the listener. The repetition of the initial vibration sequence creates an octave rhythm to the audience, which is described as a sound a notch higher than the first wave.

A variation in sound happens precisely due to the arrangements of harmonics in a half cycle in that from the previous harmonics during vibrations the string only moves to the odd numbers will the even numbers go in the opposite direction to create a perfect half cycle. Consequently moving on the harmonics line the vibrations impacts reduce as they move up the figures. Practically, the third harmonic produces two-thirds of the fundamental harmonic while the fifth odd harmonic will generate a fifth of a sixth of the first harmonic and so forth. Additionally, the odd harmonics degenerate into the first harmonic popularly known as the fundamental frequency (Malcolm, 1). The particular odd harmonic contributes just one divided by the harmonic which is the basis for chords and harmony.

There are many cycles of sounds from a half-life to a 12 note period. The 12 note time better known to musicians as the cycle of fifths is considered to have the smallest closing error in comparison to other record periods. The players enjoy sound more on keyboards but most of them do not have the knowledge that the white colored notes on the keyboard represent the diatonic key of C major and they lie next to each other in the cycle while the black notes represent the pentatonic scale and just like the white notes, the black ones lie next to each other in a cycle. All the notes of a major scale are represented in a semi-circle of the cycle. The cycle has a flattened fifth interval diameter, which is as well the range between the fifth and seventh harmonics of the dominant note in that particular key. In a keyboard, all the 12 semi circles contain the different notes that make up a major key (Malcom, 3). When a cycle is divided into two semicircles, then it reveals two major diatonic key. These diatonic keys are complimentary to each other and as a result, they form the basis for modern jazz, which is notoriously famous for alternating the two.

Jazz can freely interchange chords because the G7th5b has similar notes to those of Db7th5b. Therefore, the two can be used interchangeably because they produce similar vibrations and sounds as well. In a keyboard, the 7th dominant chord of the primary core is well known to share the 5th and the 7th harmonics with the complimentary (b5) (Malcom, 5). The sharing between these two brings that harmony in their sound when they are being played. As a result, the two can also be used interchangeably to produce a common sound in a keyboard or Jazz play. The twelve harmonics pie shaped touch screen app also shares the same principles as the traditional keyboard because it uses the cycle of fifths, which is activated by touching the center of the circle. The circle operates by having the dominant key of the main key on the right-hand side having the high to low keys.

The art of music and the way sound is produced has been revolutionized by the technology available. It has made it possible through iPhone to have the Harmonics Wheel at the touch of the screen. Amateur to professional musicians to learn more about music and sound production about their career uses the tool. The musicians seem to prefer the Harmonics Wheel due to its convenience and ease to use. The wheel uses chords, which change rapidly with the change of music tempo (Malcom, 5). However, as much as the wheel is highly preferred it is also deemed to make musical learning less irrelevant because it is only the chords that move and change here. The wheel neglects to pay attention to the notes underlying the chords. It does not show how the notes move to produce definitive sounds like the traditional sounds class.

The notes move relatively slower because same notes can give different sounds at the same time or same sound different times. The fact that the chords change quickly and the musician is unable to notice the changes it does not mean that the notes change should be ignored regardless of how gradual their changing could be about the music being played currently by the listener. Jazz which is known for interchanging chords commonly modulates the complimentary core with the main key at will to produce a uniform sound whenever the musician feel like interchanging. Such freedom to freely interchange the chords at will is what gives Jazz the diversity in sound as well as a slow feel to the music because during the interchange between the complimentary and the main core the voice variation is limited because the two sounds use similar chords hence, the sound output is similarly the same.

Additionally, the Harmonic Wheel app is very convenient because it has the complimentary and main on two different play bars. The separation is critical in ensuring that the musician does not get confused while trying to interchange chords. It also helps amateurs to learn faster because with the different components on different pay bars makes it easier for the learner to easily remember where to touch to change a certain sound that they want to include in their play at a particular time. For those musicians who have the experience on using the Harmonics Wheel then it becomes a lot easier for them to produce music without time wastage because they know where to touch to instantly change the music to a great one.

It is also a lot easier for the musicians to produce quality music using the Harmonic Wheel because the learning process is not as complicated as learning how notes change sequentially because the chords change is entirely visible on the screen and monitoring changes is quite easier to follow as compared to listening to a keyboard and using intuitions to detect a mistake or the perfect timing for a change (Malcom, 15). The combination of play bars and harmonics wheel has made the practice of producing harmonies and melodies quite an easy task as compared to the traditional way of learning notes in keyboards and how to interchange them. The chords have made the work of notes quite easier to understand, and because of technology quality, the sound production is very evident in every day-to-day life.

The use of the harmonic wheel is made easier by the utilization of the play bars. At the wheel, the dominant note of the main key occupies the right-hand side while the left-hand side is the striking mirror image of the right-hand side. The side consists of the complimentary key flattened fifth away from the main core (Neubert, 46). It is this convenience of use that makes the harmonics wheel easy to use and most preferred by the musicians. Play bar has made the use of the harmonic wheel app easier to use and comprehend. It also offers the convenience of using it anywhere to create music because the app is for mobile phones.

The portability of the service through mobile phones extends it use to very many musicians across the globe. Given that there the human ear can only allow vibrations from as little as 20 times to 20000 times a second, it is clear that the waves can only be continuous and transient (Malcom, 1). A sound is a real object with three dimensions like a real object, which has the three dimensions of length, width, and height. Sound and vibrations also do possess these characteristics of duration, which is likened to the period of a spatial object. It also has a pitch, which is the same as the height of area object. A high pitch is compared to an extended height while a low pitch is a low height. The tone of the sound is the thickness that is related to objects with a low tone representing a smaller width and a sharp tone being the equivalent of a large thickness. It is also evident that when two frequencies are mixed they always produce an additional two frequencies.

It is more so because the sum of the two frequencies together provides an additional bigger frequency. On the other hand, the difference between the two frequencies produces a new weaker frequency that also has to be put into considerations when considering the frequencies available. If the two frequencies are fundamental frequencies, the new sum or the current difference between the original frequencies give a basic frequency in return. Therefore, consonance can always be derived from the difference between two frequencies, which is usually referred to as the fundamental. On the other hand, the set of frequency that does not conform to any other form of frequency is termed as the degree of dissonance. It is further possible to assign a level of absolute value to degrees of dissonance. Such assigning is necessitated by the fact that every octave is half the previous octave and therefore, one cannot accumulate very many octaves to reach the value of dissonance hence assigning, that value to as the value for the degree of dissonance.

A relatively good example is 100 cycles and 101 cycles levels of dissonance. Going up seven octaves by multiplying the nearest factor to 100 and 101 cycles of 129 by the seven octaves we will have (129*7= 903) (Malcom, 18). The new value calculated is the dissonance value at 1% accuracy. The dissonance factor of any two or more frequencies is the sum of the dissonance factors of the lowest frequency in any given case of varying frequencies, but the list is not as long. The method is applicable when it comes to analyzing new music and coming up with a new perspective of the harmonics that have been used to develop and produce the music in question at the particular time. The method is also very instrumental when it comes to quantifying the dissonance of notes in the equal temperament tuning compared to the same notes when we are using Just Intonation.

It is this practicality of the method that it is widely referred when analyzing the notes in a new music because it works with the least complications to give precise results, which can be useful in making the critical comparisons among a variety of researched music generally in the society. For instance, by taking the 12th root of two and then multiplying the results with the number 2 all the way to 11, we can create an equal temperament scale (Bolotin, 6). The results are then compared to the 1% accuracy after which as many as possible octaves are calculated to give each note a dissonance value in the chromatic scale. It has been stated that the num...

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