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<div class="moz-cite-prefix">On 1/27/22 10:20 PM, Paul Davis wrote:<br>
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<div dir="ltr" class="gmail_attr">On Thu, Jan 27, 2022 at 5:27
PM Tim <<a href="mailto:termtech@rogers.com"
moz-do-not-send="true">termtech@rogers.com</a>> wrote:<br>
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<div>On 1/27/22 1:08 PM, Paul Davis wrote:<br>
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<p>Hiya Paul. Could you explain that a bit more?</p>
<p> Human exponential vs. linear, I don't quite
understand.</p>
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<div style="font-family:arial,helvetica,sans-serif"
class="gmail_default">Let's suppose you are playing the
simplest of beats, let's say you just play a note/tone at
120bpm. There's 0.5 seconds between your playing.</div>
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<div style="font-family:arial,helvetica,sans-serif"
class="gmail_default">To do a linear speedup, you would
gradually reduce the time between notes, maybe like this:
0.5, 0.45, 0.40, 0.35, 0.30 and so on</div>
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<div style="font-family:arial,helvetica,sans-serif"
class="gmail_default">Problem is, it turns out that humans
(even the musical among us) are not very good at all at
measuring absolute time. What we are good at is measuring
relative time, and so what actually happens is that we
decrease (or increase) the "time per note" by a constant
*factor*. Let's say the factor is 0.1. So now, the first
note of our nominal accelarando is 0.45 long, but the next
one is 0.405 then 0.3645 then 0.3285 and so forth. This
forms a natural exponential progression. <br>
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<div style="font-family:arial,helvetica,sans-serif"
class="gmail_default">Put a different way, human
performers do not speed up or slow down by a constant
amount per beat of an accelerando or decelerando, they
speed up or slow down by a constant ratio. </div>
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<div style="font-family:arial,helvetica,sans-serif"
class="gmail_default">This behavior has been noted in
several research papers on human musical performance, and
it is very, very difficult for most humans to do anything
else.</div>
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<p> And can you remember which types of, or specific,
plugins would fail, and why? I'd like to investigate.</p>
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<div style="font-family:arial,helvetica,sans-serif"
class="gmail_default">Alas, I have no specific info on
this. x42/robin gareus might know more. Not many plugins
care about the tempo map. The ones that do have a lot of
potential for screwing up if they come with some baked in
idea of "this is what accelerando sounds like".<br>
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<p>OK cool thanks. Yeah I thought it might be something like that, a
natural tempo factor per unit time.</p>
<p>I'm sure there must be specific written or recorded exceptions
though.<br>
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<p>Ironic: Right now I'm helping with a user's problem with a midi
file song, "Hallelujah", which actually</p>
<p> has a _linear_ tempo ramp-down at song end.
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<p>I'm not so concerned with plugins, just basic time-line tempo and
signature mirroring between apps.</p>
<p>Although, you once warned me that different apps or plugins will
have different ideas about it.<br>
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<p>From both our perspectives we enjoy the monolithic way, with our
DAWs. I read you say a few years ago</p>
<p> that you now tend to prefer that. Well of course, given Ardour
has had midi for a while now ;-) <br>
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<p>So it may be a moot feature these days, for any serious musical
work. Unless one prefers modular projects?<br>
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<p>But before Ardour had midi, I longed for the day when our two
apps could sit side-by-side and share a time-line.<br>
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<p>T.<br>
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