Odd numbers.

In a day, there are 6 odd hours: 1, 3, 5, 7, 9, 11 (ignoring 24-hour time).

In a week, there are 4 odd-numbered days: 1, 3, 5, 7

In a month, there are 2 odd weeks: 1, 3 (no month has 5 full weeks)

And in a year’s 12 months, there is 1 odd number: 1 (the 1 of 12).

I readily agree the year one is a stretch, but I didn’t write it :)

NOON. The word needs to be a palindrome and made up of only these letters that look the same upside down:

H I N O S X Z

For instance, SOON doesn’t work, because even though each letter looks the same upside down, it reads NOOS.

Emotions

Manhattan. A MAN wears a HAT, and a MAN might acquire a TAN if he went to sea.

A phone or doorbell.

The phone.