The word "tartest" is spelled with the IPA phonetic transcription of /ˈtɑːtɪst/. This spelling is consistent with English language conventions, where the "-est" suffix is used to denote the superlative degree of adjectives. In this case, the adjective "tart" has been modified to its superlative form, hence the word "tartest". The phonetics of the word include the stressed syllable on the first "tart" with the short "a" vowel sound, followed by the unstressed "est" with the schwa sound.
* The statistics data for these misspellings percentages are collected from over 15,411,110 spell check sessions on www.spellchecker.net from Jan 2010 - Jun 2012.