Thanks for a reasonable post Orb. Some comments below.
Thermal tracking is one of the key designs in amplifiers. In my book though, a good design reaches near optimal if not fully optimal point in 2-3 minutes, not hours. Even if optimal performance is reached in 2-3 hours, audibly the amp better sound excellent after a couple of minutes.
Let's agree that Doug Self is one of those knowledgeable engineers when it comes to amplifier design. In his book, he has a huge chapter on thermal tracking and measurements of THD over time. Here is one graph from it:
Notice how after two to three minutes, it has reached its optimal performance. It actually performs slightly worse as it keeps warming up! Fortunately all of these are at very low distortion figures (see the vertical scale on the left).
Now, this is one of his designs and there are thousands of amplifier designs out there. No doubt some are incompetent design too and may have poor thermal tracking and are optimized for to work best at higher temps. It is hard to say. What I can say is what I said above. If an amp after a couple of minutes doesn't sound excellent, it is not an excellent design in my book.
There is that. But there is also the opposite: namely the fact that vast majority of audiophiles are not sensitive to non-linear distortions. To wit, hardly anyone repeated my double blind ABX tests in the high-res thread. When I was at Microsoft, we tested audiophiles and their ability to hear non-linear distortions in compressed music was no better than general public which is to say, non-existent. There are some exceptions of course but vast majority are not such.
What this says is that it is routinely expectation bias that an amp that has warmed up for an hour or more is sounding better in an obvious way. To only way to prove it is to take away that expectation/knowledge of the warm up time and see if the observation is resilient. As you correctly note, such a test has not bee run. Given that, I have to rely on my experience of design factors and listening abilities of audiophiles to say that vast majority of people who think their equipment is sounding noticeably better after multi-hour warm up are likely mistaken.
Despite my higher acuity in being able to hear non-linear distortions, my general position is that until I have positive confirmation of something in a controlled tests, I don't put value on it. In this regard, I am perfectly happy with an amp after it has warmed up for a few minutes
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Thanks Amir and always enjoy the data you present.
Yeah no disagreement with Doug Self but does he show it all the way up to 30min-45minutes (anecdotally improvements with some of these amps I am talking about as shown is the first 5 minutes and then not much until the period we all have been mentioning), but I think you will also appreciate engineers such as Nelson Pass, also we have magazine measurements that show cold start-up and then usually 20min-30minutes later.
One key point to these measurements (and we all can say THD is going to be low) is it is showing how an amplifier behaviour changes (unfortunately not up to 30-45 minute mark in the chart), it will also be dependant upon topology,transistors used, bias,etc, why I IMO I tend to notice it more with Class A amps rather than less biased AB designs (although strangely the Dartzeel 8550 does anecdotally seem to fall into needing a lot of time *shrug*).
That said I am not saying it is THD we are hearing, but it is used an indicator of behaviour where other measurements should be potentially used to investigate further (but I agree it will not happen because in the scheme of things it is not going to cause panic and hysteria in the world
), and importantly there is a correlation between the amp improving even with these small measurements and subjective listening (caveat yeah depends upon the amplifier, not a dbt ABX, based on various engineers who each have their own design topology and internal component preferences, etc).
In fact it has been mentioned by many engineers THD is not the best measurement in terms of how an amplifier sounds, but we can use it to see behaviour-trend in this example even if not ideal.
Regarding your comment about expectation bias, IMO that breaks down because it is not consistent across all amplifiers, the anecdotal comments usually have a greater predication towards high biased Class A amplifiers rather than efficient AB designs or hybrid designs or Class D, that said there are also SS examples involved with AB but most listeners will mention it is not heard for all amps they have experienced (and I agree it is not in my experience, some great straight off, some just 5 minutes, quite a few around 30-45 mins).
Now most listeners may know about the different classes but it is asking a lot to link expectation bias being so selective when users do not necessarily understand the biasing scheme and details on topology/transistor type operation or why they would associate it more with Class A, and with some but not all Class AB, and rarely Class D or hybrids (such as the Devialet that in my experience is far more linear in behaviour from cold start to warm-up).
Also another aspect questioning expectation bias, most who experience this kind of very subtle improvement also comment about a perceived loudness shift (I doubt it is actual but who knows we are talking subtle changes), so a specific perceived variable rather than vague its just better/worst; yeah appreciate I am reducing this to a one line sentence.
And now we come to the actual relevance of small values that change and why I think it is interesting to raise your experience with the hirez ABX, even you must agree that those who disagree with you passing this legitimately do so because they state measurement differences are so small and meaningless, so here you are arguing from a point of view of a successful audibility test that in theory has measurement values too small.
It is like when you debate with those same people about jitter, and how low those spurs are in context of signal is their defence.
So yeah I agree THD is not necessarily what is being picked up, but we do see a correlation between it and what engineers say and listeners' experience, even if it is for the first 5 minutes as what Doug shows, and tbh I think that model expands beyond that based upon what I have just raised and what other engineers say with their own design/transistor selection preferences.
BTW coming back to small measurements (which some are using as part of their reasoning on differences being meaningless), any idea which ones would correlate to your experience in passing the hirez vs CD and what their measurement values were and the changes/differences?
It does link nicely into aspects of this debate.
Oh and yeah like you say and quite a few others including audiophiles, in the scheme of things cold start to warm-up is not much of an audiophile issue as either turn it on or don't
But it did fit in showing this to some others in this thread, just like my comments about warehouse cold temperature aluminium speakers and how they subtly change to when they are room temp (Magico is a good example comparing their older wood based to the newer aluminium).
The reason I am focusing more on the 5 minutes and 30min-45min mark rather than hours and days is because this has engineering measurements and is a known entity with a perception variable linked in many cases (loudness shift) - I say many because it would be wrong to say for all out there.
But this post should be taken in context with the recent other ones I posted - not directed at you Amir, but I do think its focus and context will get skewed by some
Thanks
Orb