Melodies (Part Two) : Using the Modulo Operation on Other Instruments Ranges

image010

2A. What if we would rather hear a melody for some other instrument? The ranges for some other instruments (given in pitches that correspond to the 88 piano keys) are listed in the following table.

2B. Break students up into groups, and have each group choose different instruments. The mission of the group is to create the melody achieved for their instrument by the modular mapping of the first forty Fibonacci numbers to that instruments range, using the Modulo Operation previously described in Part One.

(Note that doing forty modular operations might take too long to do in class, but if spread out among members of a group it might work out fine. Also, a smaller amount of Fibonacci numbers can be used. This is a very flexible activity).

2C. As groups find out what the proper mapping should be (of Fibonacci numbers to their instruments range), they can use the class computer to access Music Algorithms to check their work and hear their melody being played.

2D. After all the groups have played their melodies, have a discussion about what they noticed. Click to see some specific ideas for Discussion Prompts