Would like to expand on my "theory" from
post#218 about the cause of the high harmonic distortion of the 8C around 100Hz.
Nevertheless, the slots are Helmholtz resonators, on that we agree - right?
Are you saying that in your simulations you didn't see a significant increase in midrange driver excursion (compared to sealed cabinet) when using the side slots and the source of the increased HD3 is not caused by the midrange driver excursion?
The side slots have a maximum effect around their tuning frequency. However, this means that the midrange driver must still emit sound pressure below the tuning frequency of the slots, otherwise the slots cannot perform their full effect.
I have created a very simple simulation with one slot and an 8'' woofer with a small cabinet.
The tuning frequency is much lower than the D&D 8C, but this would be shifted to higher frequencies when using multiple slots.
To demonstrate my "theory" one slot is sufficient (who wants more, has to pay me for it
).
The views show a cutaway view of the simulated loudspeakers. The closed speaker has a bit more volume than the one with the slot - but that doesn't matter for the comparison.
Sealed version:
View attachment 116780
Slot version:
View attachment 116781 View attachment 116782
The fact that the slot is located on the front is also irrelevant for the intended comparison of driver impedance and driver excursion.
First, we compare the driver impedance of the sealed version with the sloted version:
View attachment 116785
The closed loudspeaker shows a typical impedance curve with a resonance frequency fc at around 93Hz.
If a slot is now attached (the slot is only as deep as the material thickness of the speaker walls), the picture changes completely.
The result is an impedance curve typical for bass reflex systems, with the decisive difference that the two impedance maxima are very far apart.
This means that the sound radiation of the slot extends over a very wide frequency range.
It is therefore not the damping of the slot, but the slot itself that is responsible for this.
The slot reaches its maximum sound pressure at the "small" impedance hump. In the case of the simulation at 200Hz:
View attachment 116790
Around this frequency the cancellation (the cardioid effect) is therefore greatest - since the radiated sound from the slot is phase inverted to the radiated sound from the driver.
Looking at
@hardisj's measurements, for the 8C this could be around 350Hz.
View attachment 116789
So, what happens if the midrange driver, for example, has to deliver almost full sound pressure two octaves below the maximum slot sound pressure (200Hz in the simulation)?
In our simulation, this would be down to about 50Hz. Therefore, a fourth order filter was set at 40Hz.
Let's look at the driver excursion of the two concepts (sealed vs. slot):
View attachment 116791
At 50Hz, the typical behavior of a ported driver operated below its tuning frequency becomes apparent.
In our example, the driver of the slot version must displace twice as much at 50Hz as the sealed version.
The solution would be to simply cross the midrange driver at a higher crossover frequency. But this would also shift the lower limit of the cardioid effect to higher frequencies.
On top of that, the midrange driver probably have to deliver a bit more sound pressure to partially replace the one destroyed by cancellation, so that the speaker does not to sound too "thin" in the bass and lower midrange.
As
@Kvalsvoll has already indicated:
Important: This is only my "theory" for the cause of the immensely high HD3 around 100Hz of the 8C. To verify this, one would have to simulate the cabinet with slots and driver of the 8C.
Nevertheless, the 3% third-order harmonic distortion shown by the 8C in the frequency range around 100Hz, at just 86dB SPL, is very bad for a speaker in this price range.
@amirm tested bookshelf loudspeaker for under $300 that remained well below 1% THD in this frequency range
.