Musical scale in magnetic field vibrations theory101

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SUMMARY

The discussion centers on the mathematical representation of musical scales in relation to frequency and integrals. Specifically, it highlights the use of the twelfth root of 2 to calculate subsequent notes in the chromatic scale, starting from A at 440 Hz. The formula for calculating the frequency of each note is established, with A# calculated as 440 Hz multiplied by 1.059463, resulting in 466.1637615 Hz, and B calculated similarly. This method is essential for understanding well-tempered tuning in music theory.

PREREQUISITES
  • Understanding of musical scales and frequencies
  • Familiarity with the twelfth root of 2 in music theory
  • Basic knowledge of integrals and their applications
  • Concept of well-tempered tuning in music
NEXT STEPS
  • Research the mathematical foundations of the twelfth root of 2 in music theory
  • Explore the concept of well-tempered tuning and its historical significance
  • Learn about the application of integrals in sound wave analysis
  • Investigate the relationship between frequency and musical intervals
USEFUL FOR

Musicians, music theorists, mathematicians interested in sound, and anyone studying the relationship between mathematics and music theory.

word21
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hi this is word21. I have a question to anyone who can help in any way.is there a mathmatic form. that is best to use to asign integrals to musical scales as in a=x number
 
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word21 said:
hi this is word21. I have a question to anyone who can help in any way.is there a mathmatic form. that is best to use to asign integrals to musical scales as in a=x number

Welcome to Physics Forums.

I'm not really sure what you are asking. It might be related to the fact that you multiply a given frequency by the twelfth root of 2 to get the subsequent note in the chromatic scale of the well-tempered tuning.

For example:
A is 440 Hz
A# is 440 Hz*1.059463 = 466.1637615 Hz
B is 466.1637615 Hz*1.059463=493.8833013 Hz

And so on.
 

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