There seems to be no recorded spelling for the word "gardenship." However, using the International Phonetic Alphabet (IPA) to analyze the word, we can break it down into its individual phonemes. The first syllable /ˈɡɑrdən/ contains the sounds /ɡ/, /ɑ/, /r/, /d/, and /ən/. The second syllable /ʃɪp/ contains the sounds /ʃ/ and /ɪp/. Without further context, it is difficult to determine the intended meaning or spelling of "gardenship."