The golden ratio is based on Fibonacci progression ratio which is 1:1.618..... This means that what ever the smallest room dimension is (probably ceiling height) multiply it by 1.618 to get the next room dimension. Then multiply that by 1.618 to get the last room dimension. For example: 8 feet ceiling x 1.618 = 12.944 feet x 1.1618 = 20.943 feet. Thus the best dimension for a stereo room with an 8 foot ceiling is 13x21 feet.
Keep in mind that this is only a theoretical ratio. There are a lot more things that determine a good sounding room other than dimensions
Keep in mind that this is only a theoretical ratio. There are a lot more things that determine a good sounding room other than dimensions