Music Math: Which note below is equivalent in duration to all of the following rhythmic values together?

Question

A quarter note has a solid oval head and a vertical stem but no flag.+A sixteenth note has a solid oval head, a vertical stem, and two flags.+A sixteenth note has a solid oval head, a vertical stem, and two flags.+A quarter note has a solid oval head and a vertical stem but no flag.+An eighth note has a solid oval head, a vertical stem, and a single flag.+A quarter note has a solid oval head and a vertical stem but no flag.= _______
(1 point)

Answer 1

To determine the note equivalent in duration to the combination of the given rhythmic values, let's first convert each of the notes into their basic fractional values in terms of a quarter note:

• A quarter note = 1 quarter note = 1
• A sixteenth note = 1/4 of a quarter note
• A sixteenth note = 1/4 of a quarter note (as stated twice, we count it twice)
• A quarter note = 1 quarter note = 1
• An eighth note = 1/2 of a quarter note

Now let's sum these up:

1. Two sixteenth notes = 2 × (1/4) = 2/4 = 1/2 (which is equivalent to one eighth note)
2. One quarter note = 1
3. One eighth note = 1/2

So the complete duration is:

1 (from one quarter note) + 1/2 (from the two sixteenth notes) + 1 (from one quarter note) + 1/2 (from one eighth note)

Combining these:

1 + 1/2 + 1 + 1/2 = 2 + 1 = 3

Thus, the total duration equals the length of 3 quarter notes.

The note equivalent in duration to 3 quarter notes is:

A whole note.