Macrotonal

"Macrotonal" may mean "containing no steps the size of a semitone or smaller". If we use the 12edo semitone as a standard, that would mean all steps are larger than 100 cents. Any scale that fits that simple constraint could be called a macrotonal scale.

Some possible further constraints on a macrotonal scale:

• macrotonal edo - a scale built from equal divisions of the octave with fewer divisions than 12. This is a finite set of 11 scales.
  • 1edo, 2edo, 3edo, 4edo, 5edo, 6edo, 7edo, 8edo, 9edo, 10edo, 11edo
• macrotonal edonoi - a scale built from equal divisions of a non-octave interval (each of which measures larger than 100 cents). This is an infinite set.
  • eg. Bohlen-Pierce, square root of 13:10 , 6th root of 3:2 ....
• macrotonal non-equal - another infinite set. The traditional pentatonic scale of 2L 3s (such as you might find on the black keys of the piano) is one easy example. Also:
  • 9-note Orwell, 17edo neutral scale, overtones 5-10, pelog & slendro....