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Earthquake Magnitude Comparison Calculator

Compare the amplitude and energy of two earthquakes.

Inputs

Results

Amplitude ratio31.62278
Energy ratio177.8279

Chart

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Describe what you want to find โ€” โ€œhow much stronger is a 7 than a 6โ€ โ€” and jump to the right calculator.

How to use the earthquake magnitude comparison calculator

Compare the amplitude and energy of two earthquakes. Enter magnitude 1, magnitude 2 in the fields above; the amplitude ratio, energy ratio are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Amplitude ratio = 10^(m1-m2)
Energy ratio = 10^(1.5 ร— (m1-m2))

Variables

  • m1 โ€” Magnitude 1
  • m2 โ€” Magnitude 2

Worked example

With magnitude 1 = 7.0, magnitude 2 = 5.5, the calculator gives amplitude ratio โ‰ˆ 31.62278; energy ratio โ‰ˆ 177.8279.

Frequently asked questions

What is the formula for the earthquake magnitude comparison calculation?

Amplitude ratio = 10^(m1-m2). Energy ratio = 10^(1.5 ร— (m1-m2)). Here m1 is magnitude 1, m2 is magnitude 2.

What inputs do I need for the earthquake magnitude comparison calculator?

You need magnitude 1, magnitude 2. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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