Friday, 7 March 2025

One Wall of the Walled Garden, Golders Hill Park

 


Golders Hill Park is a couple of stops up the hill from the station. It's well worth the visit.

Tuesday, 4 March 2025

Room Resonances

Room resonances are a real thing, but... a) the wavelength has to match the room dimension almost exactly.

While it looks as though there are "as many notes as we want", in Western music there are only 88 notes. But not really. There are actually 12 fundamental notes - starting with A0 at 27.5 Hz and ending at A♭1 at 51.91 Hz. Double those frequencies to get the next octave; double again to get the next; and so on until reaching C8 at 4186 Hz.

So a room that supports a standing wave (resonance) at, say, C2 65.41 Hz, will support standing waves at all the other C's as well. The sound will be quieter with each jump up or down of an octave. However, people only worry about bass resonances. That's because notes below a limit that varies with the room, are non-directional, appearing, as it were, at once everywhere in the room. (Above that limit, the notes become directional, which is how you ears tell you that the drums are right in the middle of your speakers.) Think of the bass notes as being produced in the middle of the room and going in all directions. If one of the dimensions of the room fits the note, and if there isn't soft furniture in the way, up pops a resonance.

If you're really unlucky you might get three different resonances: floor-to-ceiling, side-to-side, front-to-back. Highly unlikely, but possible. Chances are you will get one. There won't be others, unless your room changes dimension somewhere (sloping walls or ceiling?). Most people will get one. And that's it.

My listening room is 2.5m high, so a slightly out of tune C♯3 / D♭3 of 138.6 Hz will cause a stomach-churning resonance. Here's the thing: the 3-octave is used for effect, not for carrying the tune. That's usually done an octave higher where resonances don't happen. Bass players famously "play the root note" (unless they are Jaco Pastorius or Jack Bruce), and C♯3 / D♭3 (or C♯2 / D♭2) are not the most frequent root notes. Also, the instrument would need to be slightly out of tune to make my room react. That's why it happens so infrequently.

That doesn't mean I don't get quieter and louder patches if I move the subwoofer around. Very much so: interference isn't resonance. Its current position was chosen because it produced the most uniform level throughout the room. It's very un-nerving moving from one chair to another and suddenly hearing more bass.

Anyway, here's a list of the notes most likely to cause resonances, along with the wavelength. Measure the room (wall-to-wall, ceiling to floor. You can ignore diagonals because corners create bass boost, but do not create standing waves) and if any of those three numbers are within 0.02m (20mm) or so (depends on how reflective the material is), you will likely get resonances

D♭3      2.47m 
C3          2.62m / 130Hz 
B2          2.78m 
B♭2      2.94m 
A2          3.12m / 110Hz 
A♭2      3.30m 
G2          3.5m 
F♯2       3.71m 
F2           3.93m 
E2           4.16m 
E♭2       4.41m 
D2          4.67m 
D♭2      4.94m 
C2          5.24m 
B1          5.56m 
B♭1      5.88m 
A1           6.24m 55Hz 
A♭1       6.6m 
G1          7.0m 
F♯1        7.42m 
F1           7.86m 
E1           8.32m 
E♭1       8.82m 
D1          9.34 
D♭1      9.9m 
C1         10.48m 
B0         11.12m 
B♭0     11.76m 
A0         12.48m 27.5Hz

How do you stop a resonance? Only big, obtrusive, and expensive bass traps made of materials sourced in an Ardennes forest and hand-assembled by elves in a workshop outside Dusseldorf will do the trick... it says here on the PR handout.

Resonances result from room dimensions. So change the dimensions of the room. No builders needed. Nice full shelves full of absorbent things: paperbacks are always good, just don't line them up precisely. LP's or big art hardbacks may not be a good idea if the resonances are at higher frequencies. This will work for side-to-side or back-to-front resonances, but floor-to-ceiling you are pretty much stuck with. Unless you put nice thick carpet in everywhere, which will damp it a little.