# How to notate parallel tuplets

Suppose I have a 4/4 bar for piano, and in the right hand I want to play a quintuplet over 1, 2 and 3, and I want to play a quadruplet over 2, 3 and 4.

What is the proper way to notate this?

The solution I came up with is quite unwieldy. In order for the start of the quadruplet to line up with the quintuplet, we need to retain the original division of the bar, which we can do by changing the quintuplet into a 15-tuplet, where the 15-tuplet contains 5 notes with a duration of 3 units. That way we retain the orginal division on note 1, 5 and 10 of the 15-tuplet.

In order for the quadruplet to line up with the notes of the 15-tuplet, we need to move to a 60-tuplet. The intended quintuplet then becomes a 60-tuplet with 5 notes of a duration of 12 units each. The quadruplet also becomes a 60-tuplet with 4 notes of duration of 15 units each, and that starts on the 20th note of the first 60-tuplet.

Now we can merge the two 60-tuplets into one 80-tuplet that covers the entire bar.

While this seems arithmatically correct to me, it leads to something quite unreadable, so I must assume there is another way to approach this.