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1

Tempo is a type of frequency. A tempo mark indicates the note value of a beat, and the number of beats that occur per minute (BPM). Duration (time) is the inverse of frequency. So you just have to take the inverse of the tempo to find the duration of a beat. (But, I imagine you will want to measure the duration in seconds rather than in minutes, so you will ...


5

The first piece that comes to mind is Johannes Ockeghem's missa prolationum. This piece is entirely written on mensural canons: different parts sing the same notes at different speeds. As the example in the Wikipedia article shows, the first Kyrie is a double mensural canon. There are two written parts, each of which is sung by two voices, the ratio of ...


4

There is a lot of research that can be done on the history of tempi and the history of the metronome (which are not the same thing). (On the latter, I haven't read it, but can recommend the work of Alexander Bonus, who I've worked with. He's done some thinking about how the Industrial Revolution and machine age brought increasing standardization and ...


0

I have some suggestions that might help you. This is a very complex and technical exercise so it is important to break it down to something that we can digest and absorb. First, I interpret the phrases not in groups of 7 but groups of 14. That seems to be where the phrases start and end to me. Thinking in 14 actually makes it easier, not more complicated ...


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