Imprecise terminology is something I fight daily. When I author spec docs for Dailies, DI and VFX workflows, I have to make sure I’m understanding and potentially translating the client’s creative intent accurately.
The most prominent example might be “2.35”, which could mean:
- “with some letterbox please”
- 2.3869…:1
- 2.4:1
- 2.35000000000:1
More rarely, 1.66 will also cause confusion. Are we talking 5:3 or 1.660:1 or 2048:1234?
Creatively, at 4K, the differences are very subtle, dare I say even trivial.
But technically, it has many implications. For any given project, you need On-set, Dailies, VFX and DI to be talking the same language. You want to avoid the need for band-aid subpixel punch-ins and zoom outs in order to correct misunderstandings.
There are two challenges we face before we can agree what an aspect ratio means at a certain resolution:
1) What is the precise aspect ratio of colloquial x.y:1 aspect ratio
2) When fitting the above precise aspect ratio within a specific container (e.g 4K DCI, UHD, HD, etc.), what is the rule of thumb when dealing with subpixels or odd pixels
For 1), I will present the precise ratios I’ve collected in table form below.
For 2), I will outline the logic I apply which appears to follow ARRI and Filmlight’s reasoning as well. (I welcome any corrections!):
1. Divide width or height by precise aspect ratio (depending on whether you’re letterboxing or pillarboxing)
2. Round to the nearest
even number.
a. If you land on odd integer, round up to the nearest even number
Example 1: 2.39 within UHD
3840 / (2048/858) = 1608.75 = 1608
Example 2: 1.85 within UHD
3840 / (3996/2160) = 2075.67… = 2076
Example 3: 1.89 within UHD
3840 / (4096/2160) = 2025 (gah!) = 2026
Example 4: 1.66 (ARRI style) within UHD
2160 * (2048/1234) = 3584.8298… = 3584
Example 5: 2.0 within 2K Flat
1998 / 2 = 999 = 1000
| Imprecise Colloquial "to 1" |
|
| Precise Ratio (may be further reduced…) |
| | | | |
|---|
| 1.78 | 16:9 | 1.777777778 | 3840 x 2160 | 3840 x 2160 | |
| 2.39 | 2048:858 | 2.386946387 | 4096 x 1716 | 3880 x 1608 | |
| 1.66 version 1 | 5:3 | 1.666666667 | 3600 x 2160 | 3600 x 2160 | Super 16 |
| 1.66 version 2 | 2048:1234 | 1.659643436 | 3584 x 2160 | 3584 x 2160 | According to ARRI |
| 1.33 | 4:3 | 1.333333333 | 2880 x 2160 | 2880 x 2160 | |
| 1.89 | 2048:1080 | 1.896296296 | 4096 x 2160 | 3840 x 2026 | |
| 2.2 version 1 | 4096:1860 | 2.202150538 | 3996 x 1814 | 3840 x 1744 | According to ARRI |
| 2.2 version 2 | 4752:2160 | 2.2 | 3996 x 1816 | 3840 x 1746 | According to Apple |
| 1.37 | 11:8 | 1.375 | 2970 x 2160 | 2970 x 2160 | |
| 2.35 | 1678:715 | 2.346853147 | 4028 x 1716 | 3840 x 1636 | Superseded by "2.39" as early as 1971 but terminology persisted. If there's a 4K DCI deliverable, ideally we convince client what they want is actually 2.39 |
| Precise Colloquial "to 1" |
|
| Precise Ratio (may be further reduced…) |
| | | | |
|---|
| 1.85 | N/A | 1.85 | 3996 x 2160 | 3840 x 2076 | |
| 2.40 | N/A | 2.40 | Ideally N/A | 3840 x 1600 | |
| 2.0 | N/A | 2.0 | 3996 x 1998 | 3840 x 1920 | |
I hope this post provides logic and clarity to this topic. And I look forward to discussing it further.