Dictionary:

intonate

  (ĭn'tə-nāt')

1. To intone.
2. To utter with a particular tone of voice: pleas that were intonated with desperation.

[Medieval Latin intonāre, intonāt-. See intone.]

The verb has 2 meanings:

Meaning #1: speak carefully, as with with rising and falling pitch or in a particular tone
  Synonym: intone

Meaning #2: recite with musical intonation; recite as a chant or a psalm
  Synonyms: chant, intone, cantillate