Calculate the missing length, width, or height using the acoustic golden ratio in meters, cm, inches, or feet for room dimensions.
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Acoustic Golden Ratio Formula
The acoustic golden ratio calculator uses 1.618 as the golden ratio. It relates the room dimensions so the length is about 1.618 times the width, and the width is about 1.618 times the height.
L = W*1.618
W = L/1.618
H = W/1.618
- L = room length
- W = room width
- H = room height
- 1.618 = approximate golden ratio
If you leave the length blank, the calculator finds length by multiplying the width by 1.618. If you leave the width blank, it finds width by dividing the length by 1.618. If you leave the height blank, it finds height by dividing the width by 1.618.
The calculator converts the entered units to meters for the calculation, then converts the answer back to the unit selected for the missing dimension.
Golden Ratio Room Dimension Reference
These example dimensions follow the same length to width to height relationship used by the calculator.
| Height | Width | Length |
|---|---|---|
| 2.4 m | 3.88 m | 6.28 m |
| 2.7 m | 4.37 m | 7.06 m |
| 8 ft | 12.94 ft | 20.94 ft |
| 9 ft | 14.56 ft | 23.56 ft |
Unit Conversion Values Used
| Unit | Meters equivalent |
|---|---|
| 1 meter | 1 m |
| 1 centimeter | 0.01 m |
| 1 inch | 0.0254 m |
| 1 foot | 0.3048 m |
Examples
Example 1: Find the length
You enter a width of 4 meters and leave length blank.
L = 4*1.618 = 6.472
The length is 6.472 m.
Example 2: Find the height
You enter a width of 12 feet and leave height blank.
H = 12/1.618 = 7.4166
The height is about 7.4166 ft.
FAQ
What is the acoustic golden ratio?
The acoustic golden ratio is a room proportion based on the number 1.618. In this calculator, the target relationship is length = width × 1.618 and width = height × 1.618. These proportions are often used as a starting point for room shape planning because they help avoid equal or strongly matching room dimensions.
Does the golden ratio guarantee perfect room acoustics?
No. The golden ratio is only a proportion guide. Room acoustics also depend on wall materials, speaker placement, listening position, bass trapping, absorption, diffusion, doors, windows, and furniture. The result gives you a dimensional target, not a complete acoustic design.
Why do I need to enter exactly 2 values?
The calculator solves for one missing dimension at a time. If you enter fewer than 2 values, there is not enough information to calculate the missing dimension. If you enter all 3 values, there is no missing value to solve for.