every odd week Tuesday
I try to create a task with for every odd week Tuesday e.g. (KW 1, 3, 5, 7....) executed on tuesday.
How is this string?
Although it won't be possible to maintain such task constantly and you will have to adjust it each year, you can use the due date "every 14 days starting Tuesday" (or add a certain starting date that will match the correct first instance). It will recur every 2 weeks on Tuesday, but again - when the new year starts, you may need to adjust the task in some cases.