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Before we can finish up our discussion of rests, notably their duration ratios, we need to introduce and explain entropy, as it’s a metric we will use when deciding how (or not) to use rests in our AI training.   “Entropy” puts off a lot of people, but it turns out to be highly useful in…

As a point of vocabulary, we often use “rests” and “rest events” interchangeably.  A rest event can either be a single rest, such as a quarter note rest, or a series of rests, such as a quarter note rest followed by one or more rests of any duration. If there is a note between two…

We wrap up the discussion on Heaps Law this week by summarizing what we’ve learned so far and making a final decision for what definition of “word” we use when we get around to training the AI model.  This table summarizes all the Heaps Curve analyses performed: The first two rows refer to human natural…

This week we perform our last analysis of Heaps Law using 2-note words, and we do so by shuffling the database 1,000 times and performing a Heaps Law analysis on each one, calculating the statistical properties of that shuffled deck, and compare it to our year-ordered analysis.  The results are highly informative. We start with…