Whats the phrequency of a pendulum and a balance?

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The discussion focuses on constructing a pendulum that resonates with a balance. The angular frequency of a beam balance is defined by the formula ω = √(g/(αL)), where L represents the distance from the pivot to the center of mass, and α is a factor related to the balance's moment of inertia. Participants seek to understand the relationship between the swinging frequency of the balance and the pendulum. The conversation emphasizes the importance of geometry in determining the balance's moment of inertia. Understanding these frequencies can provide insights into their interactions when resonating together.
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i want to build a pendulum in resonace with a balance to see what happens

so anybody knows what's the swinging prequency of a balance depending on his arm and that of a pendulum that i don't remember know
 
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The angular frequency of a beam balance is

\omega = \sqrt {\frac {g}{\alpha L}}

where L is the distance from the pivot point to the center of mass of the balance and \alpha is a factor related to the moment of inertia of the balance which depends on the particular geometry of your device.
 
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