We don't have synonyms for tartane yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are tartan, tartare and tartine.
(n) :
Alternative spelling of tartan (“sailing vessel”). [(uncountable) Woven woollen fabric with a distinctive pattern of coloured stripes intersecting at right angles originally associated with Scottish Highlanders, now with different clans (though this only dates from the late 18th century) and some Scottish families and institutions having their own patterns; (countable) a particular type of such fabric.]
(n) :
Alternative spelling of tartan (“sailing vessel”). [(uncountable) Woven woollen fabric with a distinctive pattern of coloured stripes intersecting at right angles originally associated with Scottish Highlanders, now with different clans (though this only dates from the late 18th century) and some Scottish families and institutions having their own patterns; (countable) a particular type of such fabric.]