There are 12 TINTS in the Colour Basics deck.
Six are Tints of the Corner Colours, and six are Tints of the Connector Colours. Because they contain equal parts of both the base Hue and White, they can be grouped with the Tints, or with their colour family.
There are 60 TINTS in the BTC deck.
Tints that contain more White than Hue are grouped with White. Tints that contain more Hue than White, while still classified as Tints, are grouped with their colour family.
There are no 'half White, half Hue' Tints in the BTC deck.