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Matematik

Pixel Density Calculator

PPI / Pixel Density Calculator

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Hvad er Pixel Density Calculator?

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A pixel density (PPI — pixels per inch) calculator determines screen sharpness from resolution and physical display size. Higher PPI = sharper image, less visible pixelation.

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Formel

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f(x)PPI = √(width² + height²) / diagonal(inches); DPI ≈ PPI for screen density; higher = sharper

Variabelbeskrivelse

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SymbolNavnEnhedBeskrivelse
PPIPixels Per Inchpixels/inch—
dDiagonal screen sizeinches—
w, hScreen resolutionpixels—

Sådan Pixel Density Calculator

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  1. 1PPI = √(W² + H²) / diagonal (inches)
  2. 2W, H = horizontal and vertical resolution in pixels
  3. 3Apple Retina display threshold: ~300 PPI at arm's length
  4. 4TVs viewed from further away can be acceptable at 40–80 PPI

Løste eksempler

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Eksempel 1
Givet:1920×1080 (Full HD) on 24" monitor
Resultat:PPI = √(1920²+1080²)/24 = √(3,686,400+1,166,400)/24 = √4,852,800/24 ≈ 91.8 PPI

Praktiske anvendelser

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Display quality assessment

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Retina/high-DPI display decisions

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Web design responsive breakpoints

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Image resolution requirements

PPI by Display Type

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DisplayTypical PPIPerceived sharpness
Budget phone200–250Acceptable
Mid-range phone300–400Sharp
iPhone (Retina)460+Very sharp
Budget monitor72–100Adequate at normal distance
4K 27" monitor163Very sharp for desktop

Ofte stillede spørgsmål

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Q

What's a good PPI?

A

Phone: 300+ PPI (retina). Laptop: 150-200 PPI. Desktop: 90-110 PPI. Higher = crisper text/images.

Q

Why does screen size affect PPI?

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Same resolution on larger screen spreads pixels farther apart = lower PPI. 1920×1080 at 24" vs 27" looks different.

Q

How do I calculate if my screen is sharp enough?

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Calculate PPI from resolution and diagonal. If >150 PPI, text is crisp. <90 PPI may show pixelation.

Mathematically verified
Reviewed October 2026
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