Skip to content
Omnikalc

SQM to Bortle and naked-eye limiting magnitude calculator

Turn a sky quality meter reading in magnitudes per square arcsecond into an approximate Bortle class, the faintest stars visible to the naked eye, the sky brightness and how much light pollution brightens it.

Updated on
Your inputs
mag/arcsec²

Value out of range

Results

Approximate Bortle class (8 means 8 or 9)

5

Suburban sky: the Milky Way is faint or only visible overhead

Naked-eye limiting magnitude

5.5

Sky luminance
1.08 mcd/m²
Brightness compared with a pristine 22.0 sky
6.3 ×
Share of sky brightness from artificial light (approximate)
84%

Measuring the darkness of the sky

A sky quality meter (SQM) measures the brightness of the night sky in magnitudes per square arcsecond. The scale runs backward, like star magnitudes: a higher number means a darker sky. A pristine site reads about 22.0; a suburban backyard around 19 to 20; a city center 17 to 18 or less.

From SQM to what you see

The calculator converts the reading into:

  • Naked-eye limiting magnitude (NELM), the faintest star visible straight overhead, with the widely used formula NELM ≈ 7.93 − 5 log10(10^(4.316 − SQM ÷ 5) + 1).
  • Approximate Bortle class, the 1-to-9 scale of sky darkness created by John Bortle in 2001.
  • Luminance in millicandelas per square meter.
  • Brightness relative to a natural sky of 22.0, and the share coming from artificial light.

Reference values

SQM Bortle class NELM Typical place
22.0 1 6.6 Remote desert or mountain
21.5 4 6.4 Rural area far from towns
21.0 4 6.1 Countryside
20.0 5 5.5 Suburbs
19.0 6 4.8 Bright suburbs
18.0 8 4.0 City

The SQM-to-Bortle mapping is approximate. The Bortle scale is defined by what you see (the Milky Way, zodiacal light, airglow), not by a single number.

Example

A reading of 20.0 means the sky is about 6.3 times brighter than a natural sky, so roughly 84% of its glow is light pollution. Stars to magnitude 5.5 are visible and the Milky Way is faint.

Getting good readings

  • Measure at the zenith, on a moonless night, at least 90 minutes after sunset.
  • Take several readings and average them; clouds and haze change the result.
  • The Moon brightens the sky by several magnitudes near full.
  • Dark sky parks and reserves certified by DarkSky International often read 21.5 or better.

Why it matters

Darker skies show fainter stars, more meteors, and better views of galaxies and nebulae. Each step of one magnitude per square arcsecond is a factor of 2.5 in sky brightness, so moving from a 19 to a 21 sky makes faint objects stand out more than six times better against the background.

Frequently asked questions

What is a good SQM reading?

Above 21.5 is a very dark rural sky and 21.9 or more is near pristine. Suburbs typically read 19 to 20 and cities 18 or less.

How does SQM relate to the Bortle scale?

Roughly: 22 is Bortle 1, 21.7 to 21.9 Bortle 2 and 3, 20.5 to 21.7 Bortle 4, about 19.5 to 20.5 Bortle 5, and lower readings Bortle 6 to 9. The Bortle scale itself is based on what you can see.

What is naked-eye limiting magnitude?

The magnitude of the faintest star you can see without optical aid. Under a pristine sky it is about 6.5 or more; in a city it can drop to 4 or below.

Does the Moon affect SQM readings?

Yes, strongly. A bright Moon can lower the reading by several magnitudes, so measure on moonless nights to judge light pollution.

Was this calculator helpful?

Thanks for your feedback!

Results are estimates provided for information purposes. They do not replace professional advice.