^ i like the idea, but is there really any source or proof, that the golden ratio helps with acoustics?
just curious.
Its basic physics dude: 1.6 = 1 3/5, 2.6 = 2 3/5, 1.6/2.6 ~0.6
0.6 = 3/5
3/5, being an odd fraction, means that the fundamental modes in each axis of the room are always anharmonic with each other (as opposed to even ratios, 1/2, 1/4 etc which will lead to buildups at frequncies that are harmonics of each other, and they will be mutally emnphasising; where they cross, they'll double.
wavelength = phase velocity/frequency
Phase velocity = speed of sound for this purpose, wavelengths = the dimensions of the room, since they're standing modes. so obviously f = v/L and crunch some numbers, if its not obvious to you from the ratios:
So say you have 1m by 2 by 4 (very low cieling, I know). All will have modes at 350hz, (first and second overtone in the latter two cases), 2 and 4 both have 175hz modes. They add, you get a 175hz buildup. 1, 1.6 and 2.6m have 350, 220 and 135, then you have modes @ 440, 270, 540 etc; never the same. Theres still buildup at certain frequncies because of modes in each axis, but its more even on the whole because no two sets of standing waves are have modes at the same frequencies.
Its basically making the standing waves all as close to 'out of tune' with each other as you can.
The best thing, as a general rule, is to have as few parallel walls in as large a room as you can, so buildup of standing waves is minimised to begin with.
Do you have a pic from your guitar room ? I'd be very interested to see your guitar room.
