Conversion calculator

Pixel Density Calculator

The sharpest screen in your house has the lowest PPI. Sharpness is angular, and PPI leaves out the distance.

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The diagonal, which is how screens are sold — and which says nothing about area.

Not optional. Sharpness is angular, so this decides the answer as much as the resolution does.

1 for an ordinary monitor, 2 for a high-DPI laptop, 3 for a flagship phone.

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Density163.18 PPI

At 24″ away68.36 pixels per degree 1.139× the acuity limit

Physical size23.533″ × 13.237″ · 311.5 sq in

8.29 megapixels, dot pitch 0.1557 mm, aspect ratio 1.7778. The screen fills 52.23° of your visual field from here.

Beyond the resolving power of normal vision at this distance. At 68.36 pixels per degree against the roughly 60 that 20/20 vision resolves, individual pixels should be invisible — so more resolution would buy nothing at all unless you move closer than 21.07″.

PPI ranks these backwards

Modern flagship phone461 PPI 97 PPD at 12
11-inch tablet265 PPI 74 PPD at 16
13-inch high-DPI laptop227 PPI 79 PPD at 20
15-inch 1080p laptop141 PPI 54 PPD at 22 — pixels visible
24-inch 1080p monitor92 PPI 38 PPD at 24 — pixels visible
27-inch 1440p monitor109 PPI 46 PPD at 24 — pixels visible
27-inch 4K monitor163 PPI 68 PPD at 24
55-inch 4K television80 PPI 140 PPD at 100
65-inch 8K television136 PPI 279 PPD at 118

The television has the lowest PPI on this list and the highest angular resolution, because you sit four times further from it. Several common desktop monitors sit below the acuity limit at the distance people actually use them.

What a browser sees

CSS viewport
1920 × 1080 px
Device pixel ratio
2×
Full-width image needs
3840 real px
Physical pixels
3840 × 2160

A CSS pixel is a reference unit of about 1/96 inch, not a device pixel. At 2× the browser reports a 1920-pixel-wide viewport while the panel has 3840— so an image authored to fill the width at “1×” is stretched over 2 device pixels for every one it contains, and looks soft.

A 27-inch screen, at each aspect ratio

4:321.6″ × 16.2″ = 349.92 sq in
16:1022.896″ × 14.31″ = 327.64 sq in
16:923.533″ × 13.237″ = 311.5 sq in
21:924.817″ × 10.636″ = 263.95 sq in
32:925.992″ × 7.31″ = 190 sq in

Identical diagonal, very different screens. The 4:3 panel has about a third more surface than the 21:9 one — which is why an ultrawide replacing a conventional monitor of the “same size” can feel smaller vertically.

What this converter covers

PPI, dot pitch, physical size and megapixels from a resolution and a diagonal — and pixels per degree at your actual viewing distance, which is the figure that decides whether you can see the pixels.

  • PPI, dot pitch, physical dimensions and area from any resolution
  • Pixels per degree, against the 60 PPD limit of normal vision
  • The distance at which a given screen would finally look sharp
  • Nine reference devices with their real viewing distances
  • CSS viewport size and what devicePixelRatio does to an image
Angular, not just PPI Nine devices compared Acuity limit checked CSS pixels explained

Free, no signup — exact by definition, not an estimate.

Updated 7 September 2026

At a glance

Formula shown
PPI = √(w² + h²) ÷ diagonal · PPD = PPI × distance × tan(1°) · acuity ≈ 60 PPD
Scenario support
27″ 4K = 163 PPI, 68 PPD · 55″ 4K TV = 80 PPI, 140 PPD · 27″ 1440p = 46 PPD
Educational estimate
Planning support from the values you enter — not professional advice.

PPI ranks screens backwards

Pixels per inch measures how tightly packed a panel is. It does not measure how sharp it looks, because that depends on how much of your visual field each pixel occupies — and that depends on how far away you are.

The right measure is pixels per degree: how many pixels fall inside one degree of your field of view. And by that measure the ranking inverts.

Common screens by pixel density and by angular resolution at their real viewing distances
ScreenPPITypical distancePixels per degree
Flagship phone46112″97
13″ high-DPI laptop22720″79
27″ 4K monitor16324″68
27″ 1440p monitor10924″46
24″ 1080p monitor9224″38
55″ 4K television80100″140

The television has the lowest pixel density on the list and the highest angular resolution — nearly half again the phone’s. Nothing about the panel changed; you simply sit four times further from it, and distance is doing all the work.

Which is why “retina” was never a property of a screen. It was always a claim about a screen at a stated distance, and any screen becomes retina if you stand far enough back.

The monitors below the acuity limit

Normal vision — 20/20, or 6/6 — is defined as resolving detail that subtends one minute of arc. There are 60 arcminutes in a degree, so roughly 60 pixels per degree is where individual pixels stop being distinguishable.

Apply that to the table above and something uncomfortable falls out. The phone, the high-DPI laptop, the 4K monitor and both televisions clear it comfortably. But a 27-inch 1440p monitor at 46 PPD and a 24-inch 1080p monitor at 38 PPD do not. On both of those, at the distance people actually sit, the pixel structure is visible.

The tool reports a “retina distance” for exactly this reason: how far back you would have to sit for a given screen to reach 60 PPD. For a 24-inch 1080p monitor that is 37.5 inches — over three feet, which is considerably further than a desk allows. That screen was never going to look sharp where it is used.

None of which makes such a monitor bad. Text rendering, subpixel antialiasing and simply not looking closely all soften the effect, and plenty of people work happily on 1080p panels. But it does explain the immediate, obvious difference people notice moving to a high-DPI display, and it explains why that difference is much less dramatic on a television.

A diagonal is not an area

Screens are sold by their diagonal, which is a strange thing to quote because it is the one dimension that tells you least. Two screens with the same diagonal and different aspect ratios are different sizes.

A 27-inch screen at four aspect ratios
RatioDimensionsArea
4:321.6″ × 16.2″350 sq in
16:1022.9″ × 14.3″328 sq in
16:923.5″ × 13.2″312 sq in
21:924.8″ × 10.6″264 sq in

A third more glass in the 4:3 panel than the 21:9 one, both labelled 27 inches. And the ultrawide is wider while being much shorter — 10.6 inches of height against 16.2.

This is why replacing a 27-inch 16:9 monitor with a 27-inch ultrawide often disappoints: you gain 1.3 inches of width and lose 2.6 inches of height, and most work is vertical. The honest comparison is on height, or on area, and neither is the number on the box.

A CSS pixel is not a pixel

There is a third quantity that shares the word “pixel” and is not one. A CSS pixel is a reference unit, defined as 1/96 of an inch, so that a 16-pixel font is about the same physical size everywhere regardless of the panel behind it.

devicePixelRatio is the bridge. On a flagship phone it is 3: the browser reports an 852-pixel-wide viewport while the panel has 2556 real pixels, and every CSS pixel is drawn with nine device pixels. On an ordinary monitor it is 1 and the two coincide.

The practical consequence is the one that catches people out with images. An image authored to fill an 852-pixel viewport contains 852 pixels of detail and is stretched across 2556 — so it looks soft on exactly the screens whose density was supposed to make it look good. This is what srcset and the “@2×” and “@3×” asset conventions exist to fix: supply the extra detail, and let the browser pick.

It also means “DPI” means three different things depending on who is speaking. A printer’s DPI is ink dots, a panel’s is really PPI, and a browser’s is a reference density that has no direct relationship to either.

What resolution is actually worth buying

Putting all of it together gives a usable rule: work out the pixels per degree at the distance you will actually be, and stop when it clears 60.

For a desk monitor at around two feet, 4K at 27 inches lands at 68 PPD — comfortably over, with nothing wasted. 1440p at the same size is 46 and visibly short. So the jump from 1440p to 4K at 27 inches is real and the jump from 4K to 5K is largely not, unless you sit unusually close.

For a television the picture is different and less flattering to the marketing. A 55-inch 4K set at eight feet already delivers 140 PPD, more than twice the acuity limit. An 8K set at the same distance delivers 280. The extra pixels are, for a viewer with normal vision at a normal distance, literally invisible — which is why television makers compete on brightness, contrast and colour instead, where the gains are real.

For a phone, 97 PPD at a foot is well past the limit, which is why flagship resolutions stopped climbing years ago and the effort moved to refresh rate and brightness.

The general shape: resolution has hit diminishing returns everywhere except close-range desktop work, and where it has, the remaining differences between screens are not about pixel count at all.

Related calculators

Other screen and measurement conversions:

Aspect RatioExact ratio from any resolution, the missing dimension, and what letterboxing costs — flagging the resolutions that are not the ratio they claim.
Data StorageBytes, KB, MB, GB and TB alongside the binary KiB, MiB, GiB and TiB — and why a 1 TB drive shows as 931 GB.
LengthMillimetres to miles on the exact 1959 factors, with the mil kept clearly apart from the millimetre — they differ 25-fold.
AreaSquare feet, square metres, acres and hectares, with the factors squared for you — a square metre is 10.76 sq ft, not 3.28.
Scientific NotationScientific, engineering and decimal forms with significant figures counted — and ambiguous inputs flagged rather than silently resolved.
Slope and GradePercent grade, degrees, roof pitch and 1-in-N from any one of them — and why 100% grade is 45°, not vertical.

More in Conversion, or browse all calculators.

Sources and methodology

The geometry is Pythagoras and a tangent. What the sources settle is the two reference points everything hangs off: that normal visual acuity resolves about one arcminute, which is where the 60-pixels-per-degree figure comes from, and that a CSS pixel is defined as a fraction of an inch rather than as a hardware pixel. Both are conventions rather than facts of nature, and both are routinely misquoted.

Conversion note

Two limits worth stating. The 60-pixels-per-degree acuity figure is a convention derived from the definition of 20/20 vision, and real vision is not a single threshold: acuity varies between people and with age, is much higher in the centre of the visual field than at the edges, and is better for high-contrast edges and text than for the mid-tone detail of a photograph — which is why text can look pixelated on a screen where images look fine. Some people can distinguish detail beyond 60 PPD, particularly on sharp black-on-white edges. Second, angular resolution is one component of perceived quality and not the whole of it: contrast ratio, black level, colour accuracy, refresh rate, response time, subpixel arrangement and the quality of any scaling all affect how a display looks, and a screen that clears the acuity limit can still look poor. Nothing here evaluates a panel; it evaluates its geometry.

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Authorship & verification

Written and maintained by , a business operator who builds spreadsheet-based calculators.

What's changed (6 updates)

Published 7 September 2026

  1. Published the Pixel Density Calculator: PPI, dot pitch, physical dimensions, area and megapixels from any resolution and diagonal.
  2. Makes viewing distance a required input rather than an afterthought, and reports pixels per degree alongside PPI -- because PPI alone ranks screens backwards. A 55-inch 4K television has the lowest pixel density of any modern screen and the highest angular resolution.
  3. Compares every result against the roughly 60 pixels per degree that 20/20 vision resolves, and reports the distance at which a given screen would finally reach it. Several common desktop monitors turn out to sit below that limit where people actually use them.
  4. Shows a screens physical dimensions at every aspect ratio for the same diagonal, since a 27-inch 4:3 panel has about a third more surface than a 27-inch 21:9 one.
  5. Separates the CSS reference pixel of 1/96 inch from the device pixel, and shows what devicePixelRatio does -- which is why an image authored at 1x looks soft on the screens whose density was supposed to make it look good.
  6. Verified by 55 automated cases, including that the PPI ranking and the sharpness ranking are genuinely different orderings, and that the reported retina distance yields exactly 60 PPD.

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