Aspect ratios of televisions and computer monitors tend to be ratios of small integers. On my desk right now I have 3 monitors that are 4:3 and one that is 8:5.
Another thing involving ratios of small integers is musical intervals in Just Intonation.
C | 1:1 | |
C# | 16:15 | |
D | 9:8 | |
D# | 6:5 | |
E | 5:4 | 5:4 monitors exist but are not common |
F | 4:3 | the most common non-widescreen aspect ratio |
G | 3:2 | 3:2 monitors exist but are not common |
G# | 8:5 | the most common computer widescreen format |
A | 5:3 | 5:3 monitors exist but are not common |
A# | 16:9 | HDTV format |
B | 15:8 |