71 dB
Headphoneus Supremus
The impedance curve looks very flat, because the weird choice of logarithmic impedance axis going from 0.25 Ω to 7.9 kΩ! The measured minimum and maximum impedances between 40 Hz and 15 kHz are listed as about 234 Ω and 302 Ω. Now, for a open over the ears headphone this isn't massive variation of impedance, but it isn't "very flat" either. If we want the frequency response error due loed impedance variation with frequency to be 0.5 dB or less, the maximum amp output impedance for this headphone can be:So, I expect for someone to correct what I am going to say here, because it is at the edge of my understanding. That is to say, my reach is exceeding my grasp. But it’s a start.
Here are some measurements for the DT 770 250 ohms.
https://reference-audio-analyzer.pro/en/report/hp/beyerdynamic-dt-770-pro-250.php#gsc.tab=0
Scroll a ways down and you will see that the impedance curve is very flat from high to low frequencies.
𝜷 = 10^(0.5 dB/20 dB) ≈ 1.06
Rout ≤ ( Zmax * Zmin * (𝜷 -1) ) / (Zmax - 𝜷 * Zmin) = (302 * 234 * 0.06) / (302 - 1.06 * 234) ≈ 80 Ω.
It is my understanding that the sound of one otherwise suitable amp to another otherwise suitable suitable amp will
therefore be very similar, irrespective of impedance of the amp, because the impedance curve for the headphone is very flat.
The problem here is that the headphone outputs of typical speaker amps are wired from the speaker terminal, but there are serial resistors to limit the power to the headphones. Typically these serial resistors and in the ballpark of 220 to 470 Ω depending on how powerful amp we are talking about. So, connecting DT 770 250 ohms to a speaker amp headphone output is likely to cause frequency response errors larger than 0.5 dB, but no more than a few decibels. So, it is mostly a matter of taste, if it matters. Mid bass gets boosted and higher midrange/lower treble gets attenuated.
One solution is to make a headphone "extension cable" with 100 Ω resistors between the L/R channels and the ground. Together with 220 to 470 Ω "internal" output impedance this creates an effective output impedance of 69-82 Ω for the headphones.
Not the case unless the impedance curve of the headphone is very flat (and not only on a weirdly chosen axis). Usually open over the head headphones aren't like that, but closed headphones often are.So, I would venture to guess, a good higher-impedance receiver headphone amp would sound very much the same as a 0-impedance headphone amp with these particular headphones.
I use HD 598, and it is one of the most demanding headphone models in regards of output impedance. The 0.5 dB limit for it is only about 5 Ω! So, 10 Ω output impedance causes about 1 dB bass boost. My DIY headphone adapters have output impedances of 1 Ω and 2.2 Ω, but I also tend to use 10 Ω serial resistors with the headphone to intentionally create the 1 dB bass boost. This also makes the sound a bit less controlled and "relaxed."By contrast, the HD 598 has a less even impedance curve, with the impedence getting highest in the vicinity of the mid-bass. Again, scroll down a ways for the impedance curve.
https://reference-audio-analyzer.pro/en/report/hp/sennheiser-hd-598.php#gsc.tab=0
So, with a higher impedence headphone out, perhaps like a 100 to 120 ohm receiver headphone out, I would expect (and I could very much be wrong about this), I would expect the HD 598s to have somewhat more bass in the area where the impedance peaks, maybe 80 to 100 hertz. As compared to a headphone amp with a near-zero impedance, where I would expect the impedance curve of the headphone not to affect the frequency response.
You were on the right track for sure, but I wanted to make some refinements on what you said.Now, I prepare to stand corrected. For those in the know, is this sort of correct?
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