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 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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