Other kinds of home (Modes)
The major and minor tonal centres, which fall out more or less naturally from the structure of the diatonic scale make it very easy to communicate either of two home locations to listeners, depending on what chords you use, and how they move.
However, it is perfectly possible to make any location in the diatonic scale work as home (perhaps except one) but you usually have to put in a little effort to get listeners to feel this.
One method is to use drones or pedal notes <for example>. But a more sophisticated method is to control how your chords move.
For examples of distinctively aeolian chord movement see here.
For examples of distinctively dorian chord movement see here.
For examples of distinctively mixolydian chord movement see here.
For examples of distinctively phrygian chord movement see here.
Many pieces make effective use of changing from one mode to another <example>
or using relative or parallel modal modulations. These can be very effective for communicating various emotional effects <see examples>.