Music and Math

If we really sit down and ponder, one will find that math is everywhere. There is math in the air, in the water, in space; everywhere. Chemical bonds are math, two hydrogen and one oxygen are mathematically place together to make water. For musicians, math is the key to playing an instrument. "Both are experienced as pure objects of the brain, and both have meaning outside of the brain only by artificial connections."

Every note on any instrument has a vibrating motion (sound waves), causing a certain pitch. Depending on the number of sound wave determines the key. These notes have corresponding frequency which are measured physically in hz (hertz) or cycles per second. Hertz is an equation of:

Hertz (number of vibrations a second) = 6.875 x 2 ^ ( ( 3 + MIDI_Pitch ) / 12 )

The ^ symbol means ‘to the power of’. The MIDI_Pitch value is according to the MIDI standard, where middle C equals 60, and the C an octave below it equals 48. As an example, let’s figure the hertz for middle C:

Hertz = 6.875 x 2 ^ ( ( 3 + 60 ) / 12 ) = 6.875 x 2 ^ 5.25 = 261.6255

The next note up, C#, is:

Hertz = 6.875 x 2 ^ ( ( 3 + 61 ) / 12 ) = 277.1826

And the next note, D, is:

Hertz = 6.875 x 2 ^ ( ( 3 + 62 ) / 12 ) = 293.6648

Without math, there would be no music, without music I would not be at our school. So thank you math.

(sound frequencies of C and G)

Why do people hate math?
People hate math for many reasons, for example because there is only one answer. Some people do not like problems with only one answer and no rational thinking involved. For me, I deeply enjoy math, it is simular to music (I am here for music) and you use it in science (I want to be a vet). Most people who are dyslexic, like me, love math for some reason. And people who love English usually do not like math, but I am odd and I enjoy both....

Why do you like or hate math?
LOVE LOVE LOVE MATH!! It comes very easy to me and we use it everyday. Its also the same in every language, and thats cool.

Do you think math is important to Artists?
Math helps in music because you have to count beats and write messures with math. Artists have to draw to scale and theatre people have to keep time. Math is EVERYWHERE!

How can math eduation improve?
We could have more visual examples. Like real life experances.

scatter plots

9-20-09

A scatter plot is when a variable exists under the control of the experimenter. There are two different types of variables: Independent and dependent variables. Independent parameter exists systematically incremented and/or decremented by another parameter and is plotted on the horizontal axis. The dependent variable is customarily plotter along the vertical axis. If a dependent variable does not exist, the type of variable can be either on the axis and a scatter plot. This will only illustrate the degree of correlations between the two variables. A scatter plot can also suggest different kinds of correlations between the variables with a confidence interval. The correlations can be positive (rising), negative (falling), or null (uncorrelated). When the patter slopes from upper left to lower right, it is a negative correlation, and when the opposite happens it is a positive correlation. Then a line of best fit, trendline, will be drawn to study the correlation between the variables. Therefore and equation fro the correlation can be determined by the established trendline. The trendline for a linear correlation is known as a linear regression and is guaranteed to generate a correct solution in a finite time. The most powerful aspect of a scatter plot is the ability to show nonlinear relationships between the variables. The data is represented by a mixture model of simple relationships (visually evident as superimposed patterns.)
Some basic tools of quality control used for a scatter diagram are: histogram, Pareto chart, check sheet, control chart, Ishikawa diagram, and a flowchart

Example:
Calculator: Diagram: