If an instrument has four valves, there are 16 possible positions for the valves. Repeat Exercise 65 for this situation. Different notes on a trumpet are obtained by moving its three valves up and down. The given table indicates the eight possible positions for these three valves and a note that would sound if the valves were in the indicated position. Is it possible to play one of these notes and then, by changing only one valve at a time, to play all the other notes without repeating a note twice? (Hint: Consider the notes as the objects of a set and that two notes are related if one can be obtained from the other by moving only one valve.)
If an instrument has four valves, there are 16 possible positions for the valves. Repeat Exercise 65 for this situation. Different notes on a trumpet are obtained by moving its three valves up and down. The given table indicates the eight possible positions for these three valves and a note that would sound if the valves were in the indicated position. Is it possible to play one of these notes and then, by changing only one valve at a time, to play all the other notes without repeating a note twice? (Hint: Consider the notes as the objects of a set and that two notes are related if one can be obtained from the other by moving only one valve.)
Solution Summary: The author explains how different notes on a trumpet are obtained by moving its three valves up and down. They illustrate how to play one of these notes and then play all the other notes without repeating the note twice.
If an instrument has four valves, there are 16 possible positions for the valves. Repeat Exercise 65 for this situation.
Different notes on a trumpet are obtained by moving its three valves up and down. The given table indicates the eight possible positions for these three valves and a note that would sound if the valves were in the indicated position. Is it possible to play one of these notes and then, by changing only one valve at a time, to play all the other notes without repeating a note twice? (Hint: Consider the notes as the objects of a set and that two notes are related if one can be obtained from the other by moving only one valve.)
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