Ratio of fundamental frequencies

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SUMMARY

The discussion centers on calculating the ratio of two musical frequencies: the 7th note at L/3 and the 12th note at L/2. The calculation involves dividing the frequency of the 7th note by the frequency of the 12th note, expressed mathematically as L/3 divided by L/2. The resulting ratio simplifies to 2:3, establishing a clear relationship between these two frequencies.

PREREQUISITES
  • Understanding of basic musical theory, specifically note frequencies
  • Familiarity with mathematical operations involving fractions
  • Knowledge of ratios and their simplification
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the concept of musical intervals and their frequency ratios
  • Learn about the mathematical properties of fractions and ratios
  • Explore the relationship between frequency and pitch in music theory
  • Investigate how different tuning systems affect frequency ratios
USEFUL FOR

Musicians, music theorists, and students studying acoustics or sound engineering who seek to understand the mathematical relationships between musical notes and their frequencies.

Mango12
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The 7th note has a frequency of L/3 and the 12th has a frequency of L/2. What is the ratio of the two frequencies?

I feel like this is really easy but I don't know how to solve this.
 
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Mango12 said:
The 7th note has a frequency of L/3 and the 12th has a frequency of L/2. What is the ratio of the two frequencies?

I feel like this is really easy but I don't know how to solve this.

Hi Mango12! (Smile)

Sounds like we need to calculate:
$$\frac{\frac L3}{\frac L2}$$
(Thinking)
 

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