Retina display mathematics


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2		If you'd like rows added to this sheet for your own devices or viewing distances, sent a Twitter message to me, Richard Gaywood -- @penllawen.
3		For an explanation of the methods and data used in this sheet, see:				http://www.tuaw.com/2012/03/01/retina-display-macs-ipads-and-hidpi-doing-the-math/
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5		Max visual acuity (arc seconds):	1	"1" is represents 20/20 (i.e. average) vision
6				Higher numbers represent worse vision, lower numbers are better vision
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8			Screen size (inches)	Resolution (pixels)		Aspect ratio	Screen height (inches)	PPI	Viewing distance (inches)	PPI for "Retina"	Closeness to "retina"	Inter-pixel spacing (arc minutes)	Size of five pixels on the eye (arc minutes)	screen area (square inches)

9		MacBook Air, 11.6"	11.6	1368	768	1.8	5.7	135.2	22	156.3	87%	1.16	5.78
10		MacBook Air, 13.3"	13.3	1440	900	1.6	7.0	127.7	22	156.3	82%	1.22	6.12
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12		MacBook Pro, 15.4"	15.4	1440	900	1.6	8.2	110.3	24	143.2	77%	1.30	6.50
13		High-res MacBook Pro, 15.4"	15.4	1680	1050	1.6	8.2	128.6	24	143.2	90%	1.11	5.57
14		MacBook Pro, 17"	17	1920	1200	1.6	9.0	133.2	26	132.2	101%	0.99	4.96
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16		iMac, 24"	24	1920	1080	1.8	11.8	91.8	28	122.8	75%	1.34	6.69
17		iMac, 27" / T.bolt Display	27	2560	1440	1.8	13.2	108.8	28	122.8	89%	1.13	5.64
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19		iPhone 3G / 3GS	3.5	480	320	1.5	1.9	164.8	11	312.5	53%	1.90	9.48
20		iPhone 4 / 4S	3.5	960	640	1.5	1.9	329.7	11	312.5	105%	0.95	4.74
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22	Apple's tablets	iPad 1 / 2	9.7	1024	768	1.3	5.8	132.0	16	214.9	61%	1.63	8.14	45.2
23		Retina display iPad 3	9.7	2048	1536	1.3	5.8	263.9	16	214.9	123%	0.81	4.07	45.2
24		iPad mini	7.85	1024	768	1.3	4.7	163.1	16	214.9	76%	1.32	6.59	29.6
25		iPad mini Retina display	7.85	2048	1536	1.3	4.7	326.1	16	214.9	152%	0.66	3.29	29.6
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27		iPod nano (late 2012)	2.5	432	240	1.8	1.2	197.7	17.5	196.4	101%	0.99	4.97	2.7
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29	Amazon's tablets	Kindle	7	1024	600	1.7	3.5	169.5	16	214.9	79%	1.27	6.34	21.4
30		Kindle Fire HD	7	1280	800	1.6	3.7	215.6	16	214.9	100%	1.00	4.98	22.0
31		Kindle Fire 8.9" HD	8.9	1920	1200	1.6	4.7	254.4	16	214.9	118%	0.84	4.22	35.6
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33		50" Blu-Ray playback	50	1920	1080	1.8	24.5	44.1	72	47.7	92%	1.08	5.42
34		50" widescreen DVD	50	720	480	1.5	27.7	17.3	72	47.7	36%	2.76	13.79
35		40" 720p console game	40	1280	720	1.8	19.6	36.7	72	47.7	77%	1.30	6.50
36		32" 720p console game, 7.5 feet	32	1280	720	1.8	15.7	45.9	78	44.1	104%	0.96	4.80
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38	Closer distances	27" iMac / TBolt Display, 16" distance	27	2560	1440	1.8	13.2	108.8	16	214.9	51%	1.98	9.88
39		17" MacBook Pro, 16"	17	1920	1200	1.6	9.0	133.2	16	214.9	62%	1.61	8.07
40		MacBookAir 13", 16"	13.3	1440	900	1.6	7.0	127.7	16	214.9	59%	1.68	8.41
41		iPad 1 / 2, 12"	9.7	1024	768	1.3	5.8	132.0	12	286.5	46%	2.17	10.85
42		Retina display iPad 3, 12"	9.7	2048	1536	1.3	5.8	263.9	12	286.5	92%	1.09	5.43
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44	Reader suggestions	Asus Transformer Prime	10	1920	1200	1.6	5.3	226.4	16	214.9	105%	0.95	4.74
45		24" iMac (for @marcedwards)	24	1920	1200	1.6	12.7	94.3	16	214.9	44%	2.28	11.39
46		Samsung Galaxy Note (for @alexbrooks)	5.3	1280	800	1.6	2.8	284.8	11	312.5	91%	1.10	5.49
47		21.5" iMac (for @gizmosachin)	21.5	1920	1080	1.8	10.5	102.5	18	191.0	54%	1.86	9.32
48		13" MacBook Pro (for @ebbv)	13.3	1280	800	1.6	7.0	113.5	16	214.9	53%	1.89	9.47
49		iMac, 24" (for @ebbv)	24	1920	1080	1.8	11.8	91.8	24	143.2	64%	1.56	7.80
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51	Digital cinema	30ft screen, mid-row, 2K	360	2048	1080	1.9	167.9	6.4	540	6.4	101%	0.99	4.95
52	for @SayCinema	50ft screen, mid-row, 2K	600	2048	1080	1.9	279.9	3.9	900	3.8	101%	0.99	4.95
53		30 ft screen, mid-row, 4K	360	4096	2160	1.9	167.9	12.9	540	6.4	202%	0.49	2.47
54		30 ft screen, front row (15'), 2K	360	2048	1080	1.9	167.9	6.4	180	19.1	34%	2.97	14.85
55		30 ft screen, front row, 4K	360	4096	2160	1.9	167.9	12.9	180	19.1	67%	1.48	7.42
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57	New MBPwRD	MacBook with Retina display, Retina distance	15.4	2880	1800	1.6	8.2	220.5	15.6	220.4	100%	1.00	5.00
58		MacBook with Retina display, typical distance	15.4	2880	1800	1.6	8.2	220.5	16	214.9	103%	0.97	4.87
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60	for @rawsoncj	Apple II w/ Apple Monitor II in Hi-Res mode, typical use distance	12	280	192	1.3	7.3	26.2	16	214.9	12%	8.19	40.94
61	(thanks @randomoneh)	As above, but Retina distance (!)	12	280	192	1.3	7.3	26.2	131	26.2	100%	1.00	5.00
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63		Nexus 7	7	1280	800	1.6	3.7	215.6	16	214.9	100%	1.00	4.98	22.0
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65		Sony Bravia KD-84X9005 TV	84	4096	2160	1.9	39.2	55.1	90	38.2	144%	0.69	3.46	2,911.3
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67		Galaxy S III	4.8	1280	720	1.8	2.4	306.0	11.5	298.9	102%	0.98	4.89	9.8
68		HTC Desire C	3.5	480	320	1.5	1.9	164.8	11.5	298.9	55%	1.81	9.07	5.7
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70		30" 4K monitor	30	3840	2160	1.8	14.7	146.9	22.5	152.8	96%	1.04	5.20	384.6
71		30" monitor ("normal" res)	30	2560	1440	1.8	14.7	97.9	22.5	152.8	64%	1.56	7.80	384.6
72		80" 4K TV	80	3840	2160	1.8	39.2	55.1	72	47.7	115%	0.87	4.33	2,734.7
73		27" 4K monitor	27	3840	2160	1.8	13.2	163.2	20	171.9	95%	1.05	5.27	311.5
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75		IBM T210 monitor	20.8	2048	1536	1.3	12.5	123.1	18	191.0	64%	1.55	7.76	207.7
76		IBM T220	22.2	3840	2400	1.6	11.8	204.0	17	202.2	101%	0.99	4.96	221.5
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78		85" 4K TV showing 1080p content	85	1920	1080	1.8	41.7	25.9	132	26.0	100%	1.00	5.02	3,087.2
79		110" 4K TV showing 1080p content								26.04353633
80
81		55" 4K TV	55	3840	2160	1.8	27.0	80.1	43	79.9	100%	1.00	4.99	1,292.6
82		55" 1080p TV	55	1920	1080	1.8	27.0	40.1	86	40.0	100%	1.00	4.99	1,292.6