Music math which note below is equivalent in duration to all the following rhythmic values together one quarter note plus one 16th note plus 1/16 note plus one quarter note plus 1/8 note plus one quarter note equals

1 answer

To determine the equivalent duration, let's break down the rhythmic values you've provided:

  • One quarter note (1/4)
  • One sixteenth note (1/16)
  • One sixteenth note (1/16)
  • One quarter note (1/4)
  • One eighth note (1/8)
  • One quarter note (1/4)

Now, let's convert each of these notes into a common denominator to make it easier to add them together. The least common denominator for these values is 16.

Now we can convert each value:

  • One quarter note (1/4) = 4/16
  • One sixteenth note (1/16) = 1/16
  • One sixteenth note (1/16) = 1/16
  • One eighth note (1/8) = 2/16
  • One quarter note (1/4) = 4/16
  • One quarter note (1/4) = 4/16

Now we can add these values together:

\[ 4/16 + 1/16 + 1/16 + 4/16 + 2/16 + 4/16 = \] \[ (4 + 1 + 1 + 4 + 2 + 4) / 16 = \] \[ 12/16 \]

Now we can simplify \(12/16\) to \(3/4\).

Therefore, the total duration of the given rhythmic values combined is equivalent to three-quarters of a note, or in terms of note values, it is equivalent to a dotted half note or a whole note in duration (the latter with an extra quarter).