Ratio of fundamental frequencies

In summary, the ratio of fundamental frequencies refers to the relationship between the lowest frequency and higher harmonics in a sound wave. It is calculated by dividing the frequency of the higher harmonic by the frequency of the fundamental frequency and is important in creating different harmonies and musical intervals. In music theory, it is used to define intervals between notes and can be changed by altering the frequency of the fundamental frequency or higher harmonics.
  • #1
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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  • #2
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)
 

FAQ: Ratio of fundamental frequencies

1. What is the ratio of fundamental frequencies?

The ratio of fundamental frequencies refers to the relationship between the lowest frequency (fundamental frequency) and the higher harmonics in a sound wave. It is usually expressed as a fraction or decimal, such as 1:2 or 0.5.

2. How is the ratio of fundamental frequencies calculated?

The ratio of fundamental frequencies is calculated by dividing the frequency of the higher harmonic by the frequency of the fundamental frequency. For example, if the fundamental frequency is 100 Hz and the second harmonic is 200 Hz, the ratio would be 1:2 or 0.5.

3. Why is the ratio of fundamental frequencies important?

The ratio of fundamental frequencies is important because it can affect the perceived quality and timbre of a sound. The specific ratios between frequencies can create different harmonies and musical intervals, which can greatly impact the overall sound of a piece of music.

4. How does the ratio of fundamental frequencies relate to music theory?

In music theory, the ratio of fundamental frequencies is used to define intervals between notes. For example, a perfect fifth interval has a ratio of 2:3, meaning the higher note has a frequency that is 1.5 times the frequency of the lower note. This ratio is important in understanding and creating harmonies and chords in music.

5. Can the ratio of fundamental frequencies be changed?

Yes, the ratio of fundamental frequencies can be changed by altering the frequency of the fundamental frequency or the higher harmonics. This can be done through various methods such as adjusting the length or tension of a string on a musical instrument, or using electronic equipment to manipulate sound waves.

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