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I have always been amazed by the rhythmic devices that took place in the Renaissance. One of them is the canon in prolatio, or prolationum. In this type of canon the voices start at the same time developing the same melody at several duration of the notes. One of the best examples is the Missa prolationum by Johannes Ockeghem. I wanted to take this concept to a more contemporary field. So, in this short piece, the melody starts at 5/4 (piano 1 left hand), at 5/4 half duration of the notes (piano 1 right hand), and the same figures than the original melody but in 7/8 (piano 2 right hand). Later, the left hand of the piano 2 adds drones or profound tones. As you can see, the tempos must be fixed proportionally so that the bars are aligned. I have seen some other pieces with this polyrhythm / polytempo, but 7/8 against 5/4 is my own experiment. Of course, although the piece is tonal, there are some clashes here and there. I love using ancient techniques in my own context. How to write this in the editor is another issue. I have done it in Finale, which I no longer use. This one is done in Dorico.
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I went over this piece once a teacher I had (on counterpoint) told me I should notate the different tempi for each instrument. What do you think? The world of polyrhythm-polytempi is wide. This is a canon in prolatio where every line is the same at different ratios.
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