When is a marker created?

The plugin scans all staves within the range selection (even hidden staves). It will create a tempo-marking for every encountered chord provided that:

• No tempo element exists yet on that time position in the score
• The tempo that should be generated is at least 1/10th of a quarter note duration different from the previous marking

How does Curved work?

In curved mode, the plugin allows you to influence the exponent value of a power function to set the halfway point of the transistion. That way you can decide whether the biggest part of the tempo change happens sooner or later.

The Algorithm

Goals:

• When we're at the start of the selection (0% tickRange) the output must be the startTempo (0% of the tempotransition)
• When we're at midpointSlider % of the selection tickRange, the output must be halfway between start & endTempo (50% of the tempotransition)
• When we're at the end of the selection (100% tickRange) the output must be the endTempo (100% of the tempotransition)

We can achieve this by raising the % tickRange to some power p, because for any p \((0\%)^p = 0\%\) of change applied and \((100\%)^p = 100\%\)
and so we only need calculate p for the current slider value, where we know the result should be 1/2 (50%).

What power p do we need to raise the current sliderValue to, in order to equal 1/2? $${sliderValue}^p = 1/2$$ $$log({sliderValue}^p) = log(1/2)$$ $$p*log({sliderValue}) = log(1/2)$$ $$p = { log(1/2) \over log({sliderValue}) }$$

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