MHB Ratio of fundamental frequencies

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The discussion revolves around calculating the ratio of two frequencies: the 7th note at L/3 and the 12th note at L/2. To find the ratio, the formula used is L/3 divided by L/2. Simplifying this gives a ratio of 2:3. Participants express confidence in the simplicity of the calculation while seeking clarification on the solution. The final ratio of the two frequencies is 2:3.
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)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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