PPI Calculator: Pixels Per Inch
Calculate pixel density (PPI), dot pitch, megapixels, aspect ratio, and diagonal resolution for any screen. Compare two displays side by side.
Screen A
Screen B
Common Screen PPI Reference Chart
| Device / Resolution | Screen Size | PPI | Aspect Ratio | Sharpness |
|---|---|---|---|---|
| iPhone 16 Pro (2868×1320) | 6.3 in | 460 | 19.5:9 | Retina |
| Samsung Galaxy S24 (2340×1080) | 6.2 in | 416 | 19.5:9 | Retina |
| iPad Pro 13″ (2752×2064) | 13 in | 264 | 4:3 | Retina |
| MacBook Pro 14″ (3024×1964) | 14.2 in | 254 | 16:10 | Retina |
| 4K Monitor (3840×2160) | 27 in | 163 | 16:9 | Sharp |
| 1440p Monitor (2560×1440) | 27 in | 109 | 16:9 | Good |
| 1080p Monitor (1920×1080) | 27 in | 82 | 16:9 | Standard |
| Full HD TV (1920×1080) | 55 in | 40 | 16:9 | TV Dist. |
How to Calculate Pixels Per Inch (PPI)
PPI calculation tells you the pixel density of any display, measuring how many pixels are packed into one linear inch of screen. A higher PPI always means a sharper, more detailed image.
Step One: Find the Diagonal Pixel Count
Use the Pythagorean theorem to calculate the diagonal length of the screen in pixels. This is needed because screen diagonals are measured in inches, not horizontal or vertical pixels alone.
Step Two: Divide by the Physical Diagonal
Divide the diagonal pixel count by the physical diagonal screen size in inches. The result is the PPI value.
Step 1: diagonalpx = √(1920² + 1080²) = √(3,686,400 + 1,166,400) = √4,852,800 ≈ 2202.91 px
Step 2: PPI = 2202.91 / 24 ≈ 91.79 PPI
Step 3: PPI² = 91.79² ≈ 8,425 pixels per square inch
What Is PPI and Why Does It Matter?
PPI (pixels per inch) is the standard measure of screen sharpness used by display engineers, graphic designers, and everyday consumers choosing between devices. Understanding PPI helps you pick the right monitor, phone, or TV for your needs.
The Retina Display Threshold
Apple coined the term “Retina display” to describe screens where individual pixels are not distinguishable by the human eye at typical viewing distances. For smartphones held about 10 to 12 inches away, the threshold is roughly 300 PPI. For monitors viewed at arm’s length, around 200 PPI is generally sufficient.
PPI and Viewing Distance
What matters is not the raw PPI number alone but PPI relative to viewing distance. A large TV with 40 PPI looks sharp when you sit 8 feet away, but a laptop with 100 PPI would appear blurry at that same distance because you expect to view it much closer. Always consider how far you sit from a screen when evaluating its PPI.
PPI vs. Resolution
Resolution describes the total number of pixels (e.g., 1920×1080). PPI tells you how densely those pixels are packed. Two screens can share the same resolution but have very different PPI values depending on their physical sizes. A 27-inch 1080p monitor has 82 PPI while a 13-inch 1080p laptop has 169 PPI, even though both display the same pixel count.
Dot Pitch: What It Is and How to Calculate It
Dot pitch is the physical distance in millimeters between the centers of two adjacent pixels. Dot pitch calculation is essentially the inverse of PPI: smaller dot pitch means higher pixel density and a sharper image.
A 27-inch 4K monitor (3840×2160) has a diagonal of √(3840² + 2160²) ≈ 4405.8 pixels.
Dot Pitch = (27 / 4405.8) × 25.4 ≈ 0.1557 mm
Professional monitors for medical imaging and precision design work often specify dot pitch directly. Consumer monitors typically advertise PPI instead.
How to Find the Aspect Ratio of a Screen
Aspect ratio calculation reduces the width-to-height pixel relationship to its simplest form. It tells you the proportional shape of a screen independent of its size or resolution.
Using the Greatest Common Factor
Find the GCF of the width and height in pixels. Divide both numbers by the GCF to get the simplified ratio. For 1920×1080, the GCF is 120. Dividing gives 16:9, the standard widescreen ratio used by most modern monitors and televisions.
Common Aspect Ratios and Their Uses
The 16:9 ratio is standard for video, gaming, and most consumer monitors. The 16:10 ratio is common on laptops and offers slightly more vertical space for productivity. The 4:3 ratio was the standard for older televisions and monitors and is still used on many tablets. Ultrawide monitors use 21:9 for immersive cinema and multi-window workflows.