Size for distance / 13 feet

What size TV for 13 feet away?

From 13 feet (156 in, 396 cm), a 96-inch screen fills the SMPTE 30° everyday view and a 130-inch screen fills THX's 40° cinema view. Sizes in that range listed here: 98", 100", 115".

SMPTE 30° everyday
96"
THX 40° cinema
130"
4K beats 1080p from
100"
Models in range
17
13 ft 30° → 96"40° → 130"
Seen from above, to scale: the screen widths that fill 30° and 40° of your view from 13 ft.

The numbers for 13 feet

BasisScreen sizeScreen widthReading it
SMPTE 30° (mixed viewing)96"83.6 inThe screen fills 30° of your view — the comfortable everyday figure.
THX 40° (cinema)130"113.6 inThe screen fills 40° — immersive for film, a lot for news and sport all day.
4K's own pixels visible from200"174.3 inOnly screens this big show 4K's pixels to 20/20 eyes from 13 ft — the point where 8K would start to help.
4K looks sharper than 1080p from100"87.1 inOn smaller screens, 1080p already reaches the limit of 20/20 vision from 13 ft, so 4K adds no visible sharpness.

At 13 feet the point where 4K looks sharper than 1080p, 100 inches, falls between the SMPTE and THX sizes: at the everyday size the difference is marginal, at the cinema size it is visible. 4K's own pixels only become visible from 13 feet on a 200-inch screen — larger than any TV listed — which is why 8K adds nothing you can see at this distance.

What a 13-foot room usually looks like

Thirteen feet is a large basement den or a family room with a sectional along the far wall. At this distance a projector screen becomes a realistic alternative, especially in a room you can darken.

13 feet is a big room: a great room, a basement den or a long living room. The THX size of 130 inches is past what most TV lines offer, so this is where very large TVs (98", 100", 115") and projectors meet; a TV gives brightness for a sunny room, a projector the size for a dark one.

Compared with 12 feet, every extra foot of distance adds about 7 inches to the SMPTE size and 10 to the THX size. The SMPTE size is within reach of the largest TVs listed; the THX size is not.

Choosing within the range

The two standards bracket a sensible choice rather than giving one answer. Lean toward 96 inches for a room used for news, sport, gaming at a desk distance, or a bright room where a huge black rectangle dominates when the set is off. Lean toward 130 inches for a room built around films. Your eyes, not the chart, settle it: if you turn your head to follow the action, the screen is past 40° for you; if you lean forward to read captions, it is under 30°.

Measure from where your eyes are when seated to where the screen will be — not from the wall. A TV on a stand sits several inches in front of the wall, and a full-motion mount can bring it forward a foot or more. For comparison, the SMPTE distance for a 55-inch is 7 ft 5 in and the THX distance for a 65-inch is 6 ft 6 in.

TVs to look at for 13 feet

Sizes are geometry from the viewing angles and the 20/20 acuity limit cited by Wikipedia's Optimum HDTV viewing distance article, for a 16:9 screen. Viewing distances are geometry from published viewing angles: a 16:9 screen's width is 0.8716 x its diagonal, and the distance at which it fills a horizontal angle A is width / (2 x tan(A/2)). Resolution distances use the 20/20 acuity limit of one arcminute per pixel. The same formulas reproduce the reference figures quoted in the source (30 degrees = 1.6264 x diagonal; 31.2 degrees for 1080p; 58.37 degrees for 4K).