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Calculator · USGS magnitude ratios · BGS TNT equivalent

How much stronger is one earthquake than another?

As of 2 November 2026, USGS figures: each whole step up the magnitude scale means 10 times more ground-motion amplitude and about 32 times more energy, so a magnitude 7 releases about 32 times the energy of a magnitude 6 and about 1,000 times that of a magnitude 5.

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M7 vs M6: about 32× the energy

10× the ground-motion amplitude. Rough TNT equivalent: M6 ≈ 32 thousand tonnes, M7 ≈ 1 million tonnes.

Rule: USGS, "How Much Bigger…?" Calculator, checked 2026-11-02

Rule: British Geological Survey, Earthquake FAQ: What is earthquake magnitude?, checked 2026-11-02

The two rules

  • Amplitude (how big the wiggle on a seismogram is): × 10 for every whole step. Ratio = 10difference.
  • Energy released: × 31.6 (about 32) for every whole step. Ratio = 101.5 × difference.
  • Half a step (6.5 vs 6.0) is about 5.6× the energy, not 1.5×.
  • TNT figures here are rough: scaled from the BGS figure that a magnitude 5 is about 1,000 tonnes of TNT.

Worked examplesCommon comparisons

CompareAmplitudeEnergyRough TNT of the larger quake
M5 vs M410× 32×1 thousand tonnes
M6 vs M510× 32×32 thousand tonnes
M7 vs M610× 32×1 million tonnes
M8 vs M710× 32×32 million tonnes
M9 vs M810× 32×1 billion tonnes
M7 vs M5100× 1,000×1 million tonnes
M8 vs M6100× 1,000×32 million tonnes
M9 vs M61,000× 31,600×1 billion tonnes
M7.4 vs M6.57.9× 22×4 million tonnes
M7.8 vs M76.3× 16×16 million tonnes
M9.1 vs M7.632× 178×1.4 billion tonnes
M6 vs M5.53.2× 5.6×32 thousand tonnes

ScaleRough TNT by magnitude

MagnitudeEnergy vs M5Rough TNT equivalent
M30×1 tonnes
M40×32 tonnes
M51×1 thousand tonnes
M632×32 thousand tonnes
M71,000×1 million tonnes
M831,600×32 million tonnes
M91,000,000×1 billion tonnes

From our archiveFamous earthquakes vs a magnitude 6

Magnitudes as published in the Global Incident Tracker history archive; "~" marks estimates for quakes before modern instruments.

What this page shows, and what it misses

It compares magnitudes, the size of the earthquake at its source. It does not tell you how strongly the ground shook where you were (that is intensity, which depends on distance, depth and soil) or how much damage was done. It does not convert between magnitude scales: agencies now report moment magnitude for large quakes, and old "Richter" numbers cannot be turned into it with a formula.

Ratios from the USGS (public domain). TNT anchor from the British Geological Survey.

FAQQuestions people ask

How much stronger is a magnitude 7 earthquake than a magnitude 6?
About 32 times more energy (31.6 times exactly) and 10 times more ground-motion amplitude on a seismogram. These are the ratios the USGS "How Much Bigger?" calculator uses: amplitude grows by 10 to the power of the difference, energy by 10 to the power of 1.5 times the difference.
How much stronger is a magnitude 8 than a magnitude 6?
Two whole steps means 10 x 10 = 100 times the amplitude and about 32 x 32 = 1,000 times the energy. A magnitude 9 releases about 32,000 times the energy of a magnitude 6.
How much TNT is an earthquake equal to?
The British Geological Survey says a magnitude 5 is roughly equivalent to 1,000 tonnes of TNT and a magnitude 6 to about 30,000 tonnes. Scaling by about 32 per step gives roughly 1 million tonnes for a magnitude 7. Published TNT figures vary by method (seismic wave energy only, or total energy), so treat them as orders of magnitude.
Does a bigger magnitude always mean more damage?
No. Damage depends on depth, distance to towns, ground type and how buildings are built. In the Global Incident Tracker history archive, the magnitude 7.0 Haiti earthquake of 2010 is listed with about 160,000 to 316,000 deaths, while the magnitude 9.1 Tohoku earthquake and tsunami of 2011, about 1,400 times more energetic, is listed with about 19,750.