What is Mersenne's Law and its connection to Pythagoras?

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Discussion Overview

The discussion centers around Mersenne's Law, its definition, and its connection to Pythagorean concepts. Participants explore the law's implications in mechanics and its historical attribution, as well as the concept of Mersenne primes.

Discussion Character

  • Exploratory, Technical explanation, Historical

Main Points Raised

  • One participant requests an explanation of Mersenne's Law.
  • Another participant provides a definition related to the fundamental frequency of a vibrating string, mentioning its proportionality to tension and its inverse relationship with length and mass per unit length.
  • A different participant introduces the concept of Mersenne primes and provides a link for further exploration.
  • Another participant notes that Pythagoras had similar ideas, suggesting a historical connection between the two figures.

Areas of Agreement / Disagreement

Participants express curiosity and provide various perspectives, but there is no consensus on the definition of Mersenne's Law or its historical context.

Contextual Notes

The discussion includes references to definitions and concepts that may depend on specific interpretations, and the historical claims about Pythagoras are not substantiated within the thread.

SkyeLilly
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Can someone please explain what Mersenne's Law is?
 
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mechanics) The fundamental frequency of a vibrating string is proportional to the square root of the tension and inversely proportional both to the length and the square root of the mass per unit length.
Above from a google search - you can get a lot more by doing it yourself.
 
Last edited:
Interesting that Mersenne gets the credit for that. Pythagoras said something very similar if I recall.
 

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