Projector Throw Distance and Screen Size Calculator

Where to put your projector for your screen, or what screen fits your throw, with brightness in nits for SDR and HDR, lens shift and seating angle.

Published

The JVC DLA-NZ7 fills a 120 in 16:9 screen from 3.80 m to 7.76 m (12 ft 6 in to 25 ft 5 in). At 5.00 m, it gives 117.7 nits.

Screen size
in
m

Placed inside the throw window; type your own.

m
Units

Where the projector goes

  • Nearestwidest zoom3.80 m (12 ft 6 in)
  • Farthestlongest zoom7.76 m (25 ft 5 in)
  • Your throw distanceplaced by the tool5.00 m Fits
  • Zoom used1.88:1, 30% into the zoom (1.43 to 2.92:1).1.88:1
  • Lens heightFits: the lens sits 80.0% of image height above the image centre; the lens allows the image centre from 80% below to 80% above the lens axis (convention unstated; assumed ±80% of image height from centred).0.25 m to 2.64 m

Light on screen

117.7nits34.4 fL
  • SDRBright (75 nits and up); an iris or a lower laser level can trim it. Reference: SMPTE cinema 48 to 55 nits (14 to 16 fL); home dark room to about 75.Bright
  • HDRGood (108 to 171 nits). Reference: Dolby Cinema 108 nits (31.5 fL).Good

1,609 lm, Cinema, LD Power High, ProjectorCentral, zoom-adjusted, linear estimate; gain assumed 1.0 (no material chosen); 120 in 16:9, 3.97 m²

Screen: gain assumed 1.0 (no material chosen).

Brightness by screen size

DiagonalNitsfLSDRHDR
100 in169.549.5BrightGood
110 in140.140.9BrightGood
120 in (yours)117.734.4BrightGood
135 in93.027.2BrightLimited
150 in75.322.0BrightLimited
175 in55.416.2ReferenceShort
200 in42.412.4LowShort

Same lumens and gain as above, same aspect ratio; a model measured over throws is read at your current throw.

Seating

Screen width at your seat
40.5degrees
  • SMPTE30 degrees or morePass
  • THX36 degrees or morePass
  • RP2244 to 60 degreesBelow

For this screen, sit between 2.30 m and 3.29 m for RP22 44 to 60 degrees; THX 36 degrees needs 4.09 m or closer; SMPTE 30 degrees needs 4.96 m or closer.

Continue in Cinema DesignerOpens this projector, screen and seat in a full room, with speakers placed around you.

How throw distance works

A projector’s throw ratio is the distance from the lens to the screen divided by the width of the picture. A 1.5:1 lens makes a picture 2 m wide from 3 m away. Most home theater projectors have a zoom lens, so the ratio is a range, and for a given screen you get a window of distances rather than a single point: the nearest at the widest zoom, the farthest at the longest.

Take the JVC DLA-NZ7, with a 1.43 to 2.92:1 zoom, and a 120 in 16:9 screen (2.657 m wide). It fills the screen from 3.80 m to 7.76 m. Put the lens anywhere in that window and zoom until the picture fits. The calculator above does this for the eight projectors in openavdb, and for any other model if you type its throw ratio.

Two things shrink the window in a real room. The projector body sits behind the lens, so the back wall stops the lens short of the wall by the body depth. And zooming costs light on most lenses: the farther back you go, the dimmer the picture (see Brightness, below).

Screen size and seating

How big a screen should be depends on how far you sit from it. The standards describe it as the horizontal viewing angle: how much of your view the picture fills, measured at your eyes.

  • SMPTE (ST 2046-1): at least 30 degrees.
  • THX: at least 36 degrees.
  • RP22 (the CEDIA/CTA home cinema guideline): 44 to 60 degrees for video.

For a 120 in 16:9 screen, 60 degrees is 2.30 m away, 44 degrees is 3.29 m, 36 degrees is 4.09 m and 30 degrees is 4.96 m. So an RP22 seat for that screen is between 2.30 m and 3.29 m.

Rules of thumb like “sit at 1.5 times the screen width” are rough versions of the same idea. 1.5 times the width works out at about 37 degrees, just past THX and well short of RP22. The calculator prints the angle at your seat and the distances for all three standards, for your own screen.

Brightness: lumens, gain and area

The number that matters is how bright the picture looks, measured in nits (candelas per square metre), or in foot-lamberts (fL, 1 fL is 3.426 nits) in older references. It comes from three things:

  • Lumens: how much light the projector puts out in the picture mode you watch in.
  • Screen gain: how much of it the screen reflects towards you (1.0 is a matte white reference).
  • Screen area: the same light spread over a bigger screen is dimmer. Going from 120 in to 150 in, same aspect, needs 56% more light for the same brightness.

The targets the calculator uses:

  • SDR: SMPTE cinema reference is 48 to 55 nits (14 to 16 fL). A dark home cinema is comfortable up to about 75 nits; brighter than that, an iris or a lower laser setting can bring it down.
  • HDR: Dolby Cinema masters for 108 nits (31.5 fL). The calculator calls 108 nits and up good, 69 to 108 nits limited.

Measured lumens, not the rating. A maker’s figure is usually its brightest, uncalibrated mode at the widest zoom. JVC rates the DLA-NZ7 at 2,200 lumens; ProjectorCentral measured 1,609 lumens in Cinema mode for SDR, and found 28.8% less at the longest zoom. XGIMI rates the TITAN Noir Max at 7,000 lumens (ISO 21118, Performance mode); The Hook Up measured 2,846 lumens with its Dynamic iris. The calculator picks a measured cinema mode by default, lets you choose another picture mode or iris setting, reads a model measured at several throws at your throw, and names the source of every figure it uses.

Lens shift and mount height

Lens shift moves the picture up or down (and on some models sideways) without tilting the projector, so the image stays rectangular with no keystone correction. Each model allows the image centre to sit within a range above or below the lens. Turned around, that gives a window of lens heights that fill your screen: the calculator prints it, clipped to your floor and ceiling.

Ceiling mounts are the common case. If the top of the window is below your ceiling, a ceiling mount needs a drop pole; if the window is empty, the screen height, screen size and ceiling do not work together with that lens. Makers describe shift differently, some as a percentage of picture height each way, some from a default lens position, and the calculator says which convention it read for each model.

Screen gain and material

A screen’s gain compares how much light it returns straight ahead with a matte white reference. Above 1.0, centre seats get a brighter picture and the viewing cone narrows; below 1.0, the picture is dimmer. Ambient-light-rejecting and acoustically transparent materials are often below 1.0.

Rated against measured. XY Screens rates the SoundMAX 4K at gain 1.1; Pixel Home Theater measured 0.79 near on-axis, and 2.1 dB average sound loss through the weave. With openavdb’s 86 screen materials, the calculator uses a measured gain first, then the maker’s rating, and assumes 1.0 when you choose none. Acoustically transparent screens let you put the front speakers behind the picture, which is what cinemas do, at the price of some light and some treble.

When to go further

This page answers one question at a time: where the projector goes, how bright the picture is, and whether the seat suits the screen. A home cinema is those questions together with the speakers, the seats and the room. Continue in Cinema Designer opens a full room with your projector, screen and seat already in it and the speakers placed around you, so you can check sightlines, speaker angles against Dolby and RP22, and bass in the same design.

Frequently asked questions

What size projector screen do I need?
Start from your seat, not the wall. The screen should fill a comfortable angle of your view: SMPTE asks for at least 30 degrees, THX for at least 36, and the CEDIA/CTA RP22 home cinema guideline for 44 to 60 degrees. For a 16:9 screen seen from 3 m, 44 degrees is about 110 in and 60 degrees about 156 in. Then check that your projector has enough light for that size: a bigger screen spreads the same lumens over more area, so it is dimmer.
How far should I sit from a projector screen?
For a given screen, sit where it fills 44 to 60 degrees of your view for RP22, 36 degrees or more for THX and 30 degrees or more for SMPTE. For a 120 in 16:9 screen that is about 2.30 to 3.29 m (7 ft 7 in to 10 ft 9 in) for RP22, 4.09 m or closer for THX and 4.96 m or closer for SMPTE. The calculator prints these distances for your own screen.
How do I calculate throw distance?
Throw distance is the throw ratio times the image width. A lens with a 1.43 to 2.92:1 zoom, like the JVC DLA-NZ7, fills a screen 2.657 m wide (120 in 16:9) from 3.80 m at the widest zoom to 7.76 m at the longest. Anywhere in that window works; measure from the lens to the screen, not from the back of the projector.
What is a throw ratio?
The throw ratio is the distance from the lens to the screen divided by the width of the image. A 1.5:1 lens throws a 2 m wide picture from 3 m. A zoom lens has a range of ratios, which gives you a window of distances rather than one point; a fixed lens has one ratio and one distance per screen size.
How bright should a projector image be for HDR?
Dolby Cinema masters HDR for 108 nits (31.5 fL) on the screen, so the calculator calls 108 nits and up good for HDR, and 69 to 108 nits limited. For SDR, SMPTE cinema reference is 48 to 55 nits (14 to 16 fL), and a dark home cinema is comfortable up to about 75 nits. Nits are what the screen sends back to your eyes: lumens times gain divided by the screen area.
Why are measured lumens lower than the rated figure?
Makers rate brightness in the brightest mode, often uncalibrated, at the widest zoom. A calibrated cinema mode is dimmer. JVC rates the DLA-NZ7 at 2,200 lumens; ProjectorCentral measured 1,609 lumens in its Cinema SDR mode at the widest zoom, and 28.8% less at the longest zoom. The calculator uses measured modes from openavdb wherever a review publishes one, and says which.
Does screen gain make the picture brighter?
Gain is how much light the screen sends back straight towards you compared with a matte white reference of 1.0. A gain above 1 brightens the centre seats and narrows the viewing cone; a gain below 1, common on acoustically transparent and ambient-light-rejecting screens, dims it. Rated and measured gain can differ: XY Screens rates the SoundMAX 4K at 1.1, and Pixel Home Theater measured 0.79 near on-axis.
What does lens shift do, and how high should I mount the projector?
Lens shift moves the picture up or down without tilting the projector, so the image stays rectangular. Each model allows the image centre to sit within a range above or below the lens, which sets a window of lens heights that fill your screen. The calculator prints that window between the floor and your ceiling; a ceiling mount only works if the top of the window reaches it.