What is pixel scale?
Pixel scale is the angle on the sky each pixel covers. It is determined by pixel size and focal length.
Pixel scale is the angle on the sky that each pixel of your camera covers. It is usually expressed in arcseconds per pixel (″/px). A pixel scale of 1″/px means each pixel spans one arcsecond of sky; a scale of 3″/px means each pixel spans three arcseconds.
Think of it as the resolution of your digital image. It tells you how finely the sensor slices up the view coming through the telescope. Pixel scale is determined by two things:
Pixel size
The physical size of each pixel on the sensor, measured in micrometres (µm). Smaller pixels sample the sky more finely for a given focal length.
Effective focal length
The focal length of your telescope after any reducer or Barlow lens. Longer focal lengths produce finer pixel scales with the same camera.
Why pixel scale matters
Pixel scale affects detail, signal-to-noise, guiding demands and file size.
Pixel scale decides how much detail you can record and how much signal each pixel collects. The choice affects almost every part of your imaging chain:
- Detail: a finer pixel scale can resolve smaller features, but only if the atmosphere, optics and guiding let you.
- Signal-to-noise: coarser pixels collect more photons per pixel, which can produce cleaner images in less time.
- Guiding demands: fine pixel scales reveal guiding errors more readily.
- File size and processing: fine scales with large sensors create bigger images and longer processing runs.
The goal is not the smallest possible pixel scale. The goal is a pixel scale that suits your equipment, your site and the targets you want to shoot.
The pixel scale formula
Use pixel size and effective focal length to calculate scale in arcseconds per pixel.
The standard formula is simple, but the inputs matter:
206.265 × pixel size (µm) ÷ effective focal length (mm)The constant 206.265 is the number of arcseconds in one radian, expressed with the micron-to-millimetre conversion built in. If you prefer to work from first principles, you can also calculate the angular size of one pixel as the arctangent of its physical size divided by the focal length; the formula above is the small-angle approximation, which is accurate for any practical astrophotography setup.
Effective focal length
600mm
Pixel scale
1.293″/px
Worked examples
Three sample systems showing how pixel scale changes with focal length and pixel size.
All values below are illustrative examples. Use your own equipment specifications.
Example 1: 3.76 µm pixels at 600 mm focal length
Pixel scale = 206.265 × 3.76 ÷ 600
= 1.29 ″/px
Example 2: 4.63 µm pixels at 1,000 mm with a 0.8× reducer
Effective focal length = 1,000 × 0.8 = 800 mm
Pixel scale = 206.265 × 4.63 ÷ 800
= 1.19 ″/px
Example 3: 2.4 µm pixels at 2,000 mm with a 2× Barlow
Effective focal length = 2,000 × 2 = 4,000 mm
Pixel scale = 206.265 × 2.4 ÷ 4,000
= 0.12 ″/px
This would be extremely fine sampling. Unless the seeing is exceptional and the mount is excellent, most of that resolution will be wasted.
Reducers, Barlows and effective focal length
Any optical accessory that changes focal length also changes your pixel scale.
Any optical accessory that changes the focal length also changes your pixel scale. A 0.8× reducer shortens the effective focal length, which makes the pixel scale coarser. A 2× Barlow doubles the effective focal length, which makes the pixel scale finer.
effective focal length = native focal length × multiplierAlways use the effective focal length in the pixel-scale formula. Many calculators ask for the reducer/Barlow factor separately so you do not forget it.
Sampling and FWHM
Pixel scale alone is not enough; you also need to know how big a star is on your sensor.
Pixel scale alone does not tell you whether your system is appropriately matched to the sky. You also need to know the size of a star in your images. A convenient way to express that is the full width at half maximum (FWHM) of a star profile, measured in arcseconds.
FWHM is not the same as pure atmospheric seeing. A measured FWHM includes seeing, guiding errors, focus quality, optical aberrations and even the demosaicing or debayering choices you make during processing. It is the number that matters for sampling.
pixels across FWHM = FWHM (″) ÷ pixel scale (″/px)Common rules of thumb describe the result as coarse, moderate or fine sampling. These are guidance ranges, not hard rules:
- Less than ~1.5 pixels across FWHM: coarse sampling. Stars may look blocky, but each pixel gathers more signal.
- ~1.5 to ~2.5 pixels across FWHM: moderate sampling. A practical balance for many amateur setups.
- More than ~2.5 pixels across FWHM: fine sampling. More detail is possible, but guiding, seeing and total exposure time become more demanding.
Pixels across FWHM
2.38px
Moderate sampling
Oversampling and undersampling
Neither is inherently bad — the right choice depends on your goals and conditions.
Oversampling means your pixels are small enough to record detail finer than the typical star size. Undersampling means your pixels are relatively large compared with the star size. Neither is inherently bad.
Undersampled
Few pixels per star. Pros: brighter pixels, shorter exposures, wider field. Cons: less information for star shape and deconvolution.
Well matched
Roughly 1.5–2.5 pixels across FWHM. Pros: good balance of detail and signal-to-noise. Cons: none major for most setups.
Oversampled
Many pixels per star. Pros: can reveal fine detail. Cons: lower signal per pixel, longer exposures, more critical guiding.
The right choice depends on your priorities. A wide-field imager chasing large nebulae may happily run undersampled to capture more sky in less time. A planetary or small-galaxy imager may deliberately oversample to preserve tiny details.
Pixel scale is not field of view
Fine pixel scale does not automatically mean a wide field of view. Sensor size matters too.
Beginners often confuse pixel scale with field of view. They are related, but they measure different things:
Pixel scale
The angle each pixel covers on the sky. It depends on pixel size and focal length.
Field of view
The total angle covered by the whole sensor. It depends on pixel scale and the number of pixels.
A camera with tiny pixels on a small sensor can have a very fine pixel scale but a narrow field of view. A camera with large pixels on a big sensor can have a coarse pixel scale but a wide field of view. You need both numbers to understand what your final image will look like.
FOV = 2 × atan(sensor size (mm) ÷ (2 × focal length (mm)))Common pixel-scale mistakes
Avoid the misconceptions that lead to mismatched cameras and telescopes.
Chasing a single magic pixel scale
Ignoring reducer or Barlow factors
Confusing FWHM with pure seeing
Treating oversampling as bad
Treating undersampling as bad
Putting focal ratio in the formula
Forgetting pixel size changes with binning
Confusing pixel scale with field of view
Comparing systems without considering FWHM
Forgetting guiding and mount limits
Interactive calculators
Planning tools for pixel scale, sampling, field of view, binning and guiding.
Use the calculators below to plan your system. Remember that these are planning tools: real optics, filters, sensor windows and atmospheric conditions will change the exact numbers.
Pixel scale calculator
Effective focal length
600mm
Pixel scale
1.293″/px
Sampling calculator
Pixels across FWHM
2.38px
Moderate sampling
Field of view calculator
Pixel scale
1.293″/px
Horizontal FOV
2° 14′ 35.1″
Vertical FOV
1° 29′ 57.6″
FOV is calculated with the tangent projection: 2 × atan(sensor size / (2 × focal length)). Pixel scale and FOV are related but not the same thing.
Binning calculator
Effective pixel size
7.520µm
Binned pixel scale
2.585″/px
Compare two systems
System A
System B
Guiding error converter
Guiding error in imaging pixels
0.635px RMS
Guiding error is noticeable but often manageable.
Visualisations
Interactive demos that show how stars, pixels and focal length interact.
Interactive star and pixel grid
The cyan blob is a Gaussian with the chosen FWHM. The grey grid shows how that profile is divided into pixels at the selected pixel scale. Change the pixel phase to see how the same star lands differently relative to pixel boundaries.
Sampling demo
1 pixel across FWHM
Very coarse. The star is essentially a single bright pixel.
2 pixels across FWHM
Coarse. Some star shape is visible, but modelling is limited.
3 pixels across FWHM
Moderate. A practical balance for most amateur setups.
6 pixels across FWHM
Fine. Rich star profile, but needs longer total exposure.
Same camera, different focal lengths
250 mm
3.101″/px
Very wide field, coarse sampling
500 mm
1.551″/px
Moderate sampling
1,000 mm
0.775″/px
Fine sampling
2,000 mm
0.388″/px
Very fine sampling
Illustrative example. Same 3.76 µm camera, no reducer or Barlow.
Same focal length, different pixel sizes
2.4 µm pixel
0.99″/px
Small pixels, fine sampling
3.76 µm pixel
1.55″/px
Common CMOS pixel
4.63 µm pixel
1.91″/px
Slightly coarser sampling
5.94 µm pixel
2.45″/px
Larger pixels, coarser sampling
Illustrative example. Same 500 mm focal length, no reducer or Barlow.
One camera at four focal lengths
300 mm
2.579 ″/pxWide-field. Star detail is coarse, but each pixel collects a lot of light and guiding is forgiving.
With a 3″ FWHM, the star spans about 1.2 pixels.
600 mm
1.290 ″/pxModerate sampling for typical 2.5–3.5″ seeing. A practical balance for many deep-sky rigs.
With a 3″ FWHM, the star spans about 2.3 pixels.
1,200 mm
0.646 ″/pxFine sampling. Demands good guiding and steady skies to realise the extra detail.
With a 3″ FWHM, the star spans about 4.6 pixels.
2,000 mm
0.388 ″/pxVery fine sampling. Excellent for small targets under exceptional conditions; total exposure time needs to increase accordingly.
With a 3″ FWHM, the star spans about 7.7 pixels.
Illustrative example. Pixel scale assumes a 3.76 µm pixel and no reducer or Barlow.
Binning and effective pixel size
Binning groups pixels to make the effective pixel scale coarser.
Binning groups adjacent pixels into one super-pixel. A 2×2 bin turns four native pixels into one output pixel, doubling the effective pixel size and doubling the pixel scale. This can be useful when you want coarser sampling, smaller files or faster downloads.
On CCD cameras, hardware binning usually improves read noise because the charge from multiple pixels is read once. On most CMOS cameras, software binning simply resamples the pixels and does not provide the same read-noise benefit. Know which kind of binning your camera uses before relying on it for faint targets.
Effective pixel size
7.520µm
Binned pixel scale
2.585″/px
Guiding and pixel scale
Your guiding RMS must be judged against your imaging pixel scale.
Your guiding performance must be matched to your imaging pixel scale. A guiding RMS of 1 arcsecond is irrelevant on a 4″/px wide-field system, but it is a disaster on a 0.5″/px planetary system.
A useful rule of thumb is to aim for a guiding RMS below roughly 0.3–0.5 of your imaging pixel scale. That gives you some headroom for occasional worse-than-average moments. The converter above turns guiding RMS directly into imaging pixels so you can judge for yourself.
Guiding error in imaging pixels
0.635px RMS
Guiding error is noticeable but often manageable.
Choosing a setup
Work backwards from your sky, your targets and your mount.
The best way to choose a camera-telescope combination is to work backwards from your sky and your targets:
- Measure your typical FWHM from real images on your site.
- Pick a target sampling range. Around 1.5–2.5 pixels across FWHM is a safe starting point for many deep-sky imagers.
- Calculate the pixel scale that gives that sampling: pixel scale ≈ FWHM ÷ target pixels-across-FWHM.
- Find a camera-telescope pair that produces that pixel scale, accounting for any reducer or Barlow.
- Check field of view to make sure the target fits and the framing is attractive.
- Check guiding demands to make sure your mount can support the chosen scale.
If you image from multiple sites or under widely varying seeing, you may end up with different ideal sampling for different nights. That is normal.
Printable pixel-scale worksheet
A bench-friendly worksheet for planning a new imaging train.
Print this worksheet and fill it in at the bench. It is faster than switching between browser tabs when you are planning a new imaging train.
Pixel Scale Planning Worksheet
| Calculation | Value |
|---|---|
| Effective focal length (mm) | |
| Pixel scale (″/px) | |
| Typical / measured FWHM (″) | |
| Pixels across FWHM | |
| Horizontal FOV | |
| Vertical FOV |
Notes / trade-offs
Quick-reference summary
A flowchart from FWHM measurement to final camera choice.
Frequently asked questions
Short answers to the most common pixel-scale questions.
Final checklist
Tick off each step as you plan your system. Progress is saved in your browser.
Technical references
Sources for the numbers and formulas used in this guide.
- Manufacturer sensor specifications for pixel size and active sensor dimensions.
- Telescope and reducer/Barlow specifications for effective focal length and backfocus.
- Small-angle approximation: 206.265 × pixel_size_µm ÷ focal_length_mm for pixel scale in arcseconds per pixel.
- Tangent projection formula for field of view: 2 × atan(sensor_size / (2 × focal_length)).
- General astrophotography literature on sampling, Nyquist criterion, and the trade-offs of over- and under-sampling.
Still not sure about your setup?
Every telescope, camera and site combination is different. If you would like a second pair of eyes on your planned imaging train, send us the details and we will help you think through the numbers.