Enter the duration of the sibilant /s/ and the voiced /z/ sounds to calculate the S/Z ratio. This ratio is used by speech therapists to assess phonatory function and laryngeal pathology.

S/Z Ratio Formula

The following formula is used to calculate the S/Z ratio.

S/Z Ratio = S Duration / Z Duration

Variables:

  • S Duration is the duration of the sibilant /s/ sound (seconds)
  • Z Duration is the duration of the voiced /z/ sound (seconds)

To calculate the S/Z ratio, divide the duration of the sibilant /s/ sound by the duration of the voiced /z/ sound.

What is an S/Z Ratio?

The S/Z ratio is a measure used in speech therapy to assess the efficiency of vocal fold closure during speech. A higher ratio may indicate possible laryngeal pathology, such as vocal fold nodules or polyps, and is used to determine the need for further evaluation or treatment.

How to Calculate S/Z Ratio?

The following steps outline how to calculate the S/Z Ratio.


  1. First, determine the duration of the sibilant /s/ sound (S Duration) in seconds.
  2. Next, determine the duration of the voiced /z/ sound (Z Duration) in seconds.
  3. Next, gather the formula from above = S/Z Ratio = S Duration / Z Duration.
  4. Finally, calculate the S/Z Ratio.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

duration of the sibilant /s/ sound (S Duration) = 8 seconds

duration of the voiced /z/ sound (Z Duration) = 5 seconds