The spelling of the word "Gayton" can be explained through its IPA phonetic transcription. The first syllable "Gay" is pronounced [ɡeɪ] with a long a sound and a 'y' at the end. The second syllable "ton" is pronounced [tʌn] with a short 'u' sound and an 'n' at the end. Hence, the correct spelling of the word is "Gayton" and not "Gaiton" or "Geyton". It is important to use the proper spelling to avoid confusion and miscommunication.