The Golden Ratio 
The "Golden Ratio" is a mathematical guideline used to define the optimal relationship between an enclosure's internal height, width, and depth. The equation used to derive the golden number (Phi) is:

(1+SQRT(5))/2 or 1.618033988749895

The golden ratio of 0.618 x 1 x 1.618 will help reduce the effects of standing waves and improve system transience. To apply this ratio to a specific volume of space, simply derive it's cube root and multiply the result by each of the three factors within the ratio.

Example:

Apply the golden ratio to a Vb of 1.5ft^3

• 1.5^(1/3) = 1.447ft or 13.736in
• 13.736 * 0.618 = 8.489in
• 13.736 * 1 = 13.736in
• 13.736 * 1.618 = 22.226in

Therefore, in order for a 1.5ft^3 enclosure to comply with the golden ratio, it's internal dimensions would have to be 8.489in x 13.736in x 22.226in.

To demonstrate how large an impact the internal enclosure geometry has on the overall efficiency curve, here's a graph simulating the infinite environment response of two differently shaped 1.5ft^3 enclosures. Both feature the same driver, the same vent, and the same coordinates along which the woofer and the vent is positioned:



[ view entry ] ( 593 views )   |  permalink

<Back | 1 | 2 | Next> Last>>