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Screen PPI Calculator

Pixel density and viewing distance.

Reviewed by the Calculation Machine team · Updated 24 October 2026 · How we check our maths

Your values

ⓘ Live results

Results
Pixel density
163.2 PPI
Dot pitch
0.1557 mm
Retina distance
1.76 ft
Total pixels
8,294,400

Quick answer

Pixels per inch (PPI) is the diagonal resolution in pixels divided by the diagonal screen size in inches: PPI = √(width² + height²) ÷ diagonal. A 27-inch 4K monitor (3840 × 2160) has a 4,406-pixel diagonal, so it works out at 163.2 PPI, with pixels about 0.156 mm apart.

What the Screen PPI calculator does

This calculator turns a display's resolution and screen size into pixel density (PPI), dot pitch (the distance between pixel centers, in millimeters) and the viewing distance beyond which a person with normal vision can no longer pick out individual pixels. It also gives the total pixel count, which is what your graphics card has to drive.

Use it when comparing monitors of different sizes, deciding whether a 4K screen is worth it at 24 or 27 inches, or checking how close you can sit to a TV. The diagonal must be the visible screen size the manufacturer quotes, not the outer bezel. If you only know the ratio and one dimension, work out the other with the aspect ratio calculator first.

PPI describes sharpness, not image quality as a whole: panel type, contrast, scaling in your operating system and the content's own resolution all change what you see. A 4K screen showing 1080p video still shows only 1080p detail.

The formula

PPI = √(w² + h²) ÷ d Dot pitch (mm) = 25.4 ÷ PPI Retina distance (in) = 3438 ÷ PPI

Formula variables
SymbolMeaningUnit
wHorizontal resolutionpixels
hVertical resolutionpixels
dDiagonal screen size (visible area)in
25.4Millimeters per inchmm/in
3438Number of pixel widths that subtend one arcminute at a distance: 1 ÷ tan(1/60°)—

The diagonal pixel count comes from Pythagoras' theorem, so the formula works for any aspect ratio, including 21:9 ultrawides and 3:2 laptops. The "retina" distance assumes 20/20 vision, which resolves detail of about one arcminute; this is the same idea Apple used when it introduced the term. People with sharper than 20/20 vision can see pixels from a little farther away. For screens with non-square pixels (rare outside older video formats) the formula does not apply.

Worked examples

Budget 24-inch 1080p monitor

A common office monitor: 1920 × 1080 on a 24-inch panel.

Inputs

  • Horizontal pixels1920
  • Vertical pixels1080
  • Screen size24 in

Result

  • Pixel density91.8 PPI
  • Dot pitch0.2767 mm
  • Retina distance3.12 ft
  • Total pixels2,073,600

Around 92 PPI is fine at arm's length for spreadsheets, but text edges look soft if you sit closer than about 3 feet. The same resolution stretched to 27 inches drops to about 82 PPI, which many people find visibly grainy.

27-inch 1440p vs 4K

Choosing between a 2560 × 1440 and a 3840 × 2160 model at 27 inches.

Inputs

  • Horizontal pixels2560
  • Vertical pixels1440
  • Screen size27 in

Result

  • Pixel density108.8 PPI
  • Dot pitch0.2335 mm
  • Retina distance2.63 ft
  • Total pixels3,686,400

1440p gives about 109 PPI, a comfortable density at 100% scaling. The 4K model at the same size reaches 163.2 PPI and needs about 150% scaling in Windows or macOS to keep text a readable size, but text looks noticeably crisper.

65-inch 4K TV

A living-room TV with 3840 × 2160 resolution and a 65-inch diagonal.

Inputs

  • Horizontal pixels3840
  • Vertical pixels2160
  • Screen size65 in

Result

  • Pixel density67.8 PPI
  • Dot pitch0.3747 mm
  • Retina distance4.23 ft
  • Total pixels8,294,400

Under 70 PPI sounds low, but from a typical sofa distance of 7–9 feet the pixels are far below what the eye can resolve. Sitting closer than about 4.2 feet is the only way to see the pixel grid.

Pixel density of common displays

Figures below use the formula on this page with the stated resolution and diagonal. Phone figures vary by model, so check the exact panel size before comparing.

PPI by size and resolution
DisplayResolutionPPIPixels vanish beyond
24-inch 1080p monitor1920 × 108091.83.1 ft (0.95 m)
27-inch 1080p monitor1920 × 108081.63.5 ft (1.07 m)
27-inch 1440p monitor2560 × 1440108.82.6 ft (0.80 m)
27-inch 4K monitor3840 × 2160163.21.8 ft (0.54 m)
65-inch 4K TV3840 × 216067.84.2 ft (1.29 m)

How much PPI you need at your viewing distance

Sharpness depends on pixels per degree of your vision, not PPI alone, so distance matters as much as density. Rough guide for 20/20 vision:

  • Phones (10–12 in away): around 300 PPI or more before pixels disappear, which is why phones sit at 400–500 PPI.
  • Laptops (18–20 in): roughly 170–190 PPI for a pixel-free look; 1080p on a 13–14 inch screen is close.
  • Desktop monitors (24–30 in): 110–140 PPI is where most people stop noticing pixels at 100% scaling; above that, you gain smoothness but need OS scaling.
  • TVs (6–10 ft): about 30–50 PPI is enough, which is why 4K benefits appear mainly on large screens or close seating.

To check a specific setup, compare the calculator's retina distance with how far your eyes actually are from the screen. If you sit closer than that figure, a higher resolution will look sharper.

Scaling, resolution and what the numbers miss

High-PPI monitors are usually run with operating-system scaling (125%, 150% or 200%) so text stays the same physical size. Scaling at a whole-number factor such as 200% on a 4K screen gives the cleanest result; fractional scaling can blur some older applications.

Two screens with the same PPI can still look different. Subpixel layout (RGB stripe versus the triangular or pentile layouts on some OLED panels) affects how crisp text edges look, and a matte coating slightly softens fine detail. For gaming, more pixels also mean more work for the graphics card: 4K is four times the pixel count of 1080p, so frame rates fall accordingly.

How to use the Screen PPI Calculator

  1. 1Enter the horizontal pixel count (for example 3840 for 4K UHD) from the spec sheet or your display settings.
  2. 2Enter the vertical pixel count (2160 for 4K UHD, 1440 for QHD, 1080 for Full HD).
  3. 3Enter the advertised diagonal in inches; convert centimeters by dividing by 2.54.
  4. 4Read PPI and dot pitch, then compare the retina distance with how far you actually sit from the screen.

Frequently asked questions

What is a good PPI for a monitor?

Around 110 PPI is comfortable at 100% scaling from a normal desk distance, and 140–165 PPI looks sharp with 150% scaling. Below about 90 PPI most people can see jagged text edges at arm's length.

Is 4K worth it on a 24-inch monitor?

A 24-inch 4K panel reaches about 184 PPI, so text is very crisp, but you must use around 200% scaling to keep it readable. You gain sharpness, not extra desktop space.

What is the difference between PPI and DPI?

PPI counts pixels on a screen; DPI (dots per inch) properly describes printer output, where several ink dots make one image pixel. People often use the terms interchangeably for screens.

Does the aspect ratio change the PPI calculation?

No. The diagonal formula works for any shape, so a 34-inch 3440 × 1440 ultrawide comes out at about 110 PPI, similar to a 27-inch 1440p monitor.

What is dot pitch?

Dot pitch is the distance from one pixel's center to the next, equal to 25.4 mm divided by PPI. Smaller dot pitch means finer detail; 0.25 mm or less is typical of sharp desktop monitors.

References

  • ISO 9241-303: Requirements for electronic visual displays — International Organization for Standardization (ISO)
  • Display Metrology – Information Display Measurements Standard (IDMS) — International Committee for Display Metrology / Society for Information Display

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