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Sound Waves and Trigonometry In Music
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Sound waves
the notes C and G played nicely together and produce a stable harmony.
C and C# simply clash and are unpleasant to the ear.
Frequencies
Every note is determined by the size of it sine wave.
- If the note has a wider sine wave, then it has a lower pitch
Volumes
- If note has a narrower sine wave, then it has a higher pitch.
The volume, or loudness of note can also be determined through amplitude
Frequency affects the pitch of a sound
- The smaller the amplitude, the quieter the sound.
Music production
- the larger the amplitude, the louder the sound.
sound waves are not as regular as the sine or coin graph, but they still very similar
Amplitude affects the loudness of a sound
A sin or cosine graph would repeat it self over and over a gain, after one period, 2 pi but in the music, the pitch varies throughout a song.
Therefor, sound waves dose not have the same repetitive nature, but they do have the same pattern
Trigonometry In Music
Rate of Vibration
Where w is the frequency
A is the Amplitude
unit of frequency is hertz
Each note on musical scale has sine function with it.
Ex: Note A= sin(800pi * x)
Note C#= sin(1100pi * x)
Note E= sin(1320pi * x)
Sound Waves
Sound is a vibration that travels through matter in a wave form.
Sound creates a longitudinal or compressional wave
This is a chord
still periodic function!
Noise Canceling Sound Waves
Conclusion
even if it's not a sine curve
Sources:
http://www.math.umn.edu/~rogness/math1155/soundwaves/
We discovered the basic understanding of trigonometry on sound
http://www.sscc.edu/home/jdavidso/music/musicnotes/musicnotes.html
we talk about the;
- frequency
- volume
- Music production
- Noise Canceling Sound Waves
http://prezi.com/hsww-4ngr1bd/trigonometry-in-tuning-guitars/