The Petrarchan sonnet is a sonnet form not developed by Petrarch himself, but rather by a string of Renaissance poets. Because of the structure of Italian, the rhyme scheme of the Petrarchan sonnet is more easily fulfilled in that language than in English. The original Italian sonnet form divides the poem's 14 lines into two parts, the first part being an octave and the second being a sestet.
The rhyme scheme for the octave is typically a b b a a b b a. The sestet is more flexible. Petrarch typically used c d e c d e or c d c d c d for the sestet. Some other possibilities for the sestet include c d d c d d, c d d e c e, or c d c d c d (as in Wordsworth's "Nuns Fret Not at Their Convents Narrow Room" poem). This form was used in the earliest English sonnets by Wyatt and others. For background on the pre-English sonnet, see Robert Canary's web page, The Continental Origins of the Sonnet. In a strict Petrarchan sonnet, the sestet does not end with a couplet (since this would tend to divide the sestet into a quatrain and a couplet). However, in Italian sonnets in English, this rule is not always observed, and c d d c e e and c d c d e e are also used.
The octave and sestet have special functions in a Petrarchan sonnet. The octave's purpose is to introduce a problem, express a desire, reflect on reality, or otherwise present a situation that causes doubt or a conflict within the speaker's soul and inside an animal and object in the story. It usually does this by introducing the problem within its first quatrain (unified four-line section) and developing it in the second. The beginning of the sestet is known as the volta, and it introduces a pronounced change in tone in the sonnet; the change in rhyme scheme marks the turn. The sestet's purpose as a whole is to make a comment on the problem or to apply a solution to it. The pair are separate but usually used to reinforce a unified argument — they are often compared to two strands of thought organically converging into one argument, rather than a mechanical deduction. Moreover, Petrarch's own sonnets almost never had a rhyming couplet at the end as this would suggest logical deduction instead of the intended rational correlation of the form.
Poets adopting the Petrarchan sonnet form often adapt the form to their own ends to create various effects. These poets do not necessarily restrict themselves to the metrical or rhyme schemes of the traditional Petrarchan form; some use iambic hexameter, while others do not observe the octave-sestet division created by the traditional rhyme scheme. Whatever the changes made by poets exercising artistic license, no "proper" Italian sonnet has more than five different rhymes in it.