Just-24

Just-24 is a pragmatic list of reference intervals containing all non-trivial intervals of the 15-odd-limit tonality diamond, arranged in pairs of octave complements. It has proven helpful for showing JI properties of medium-sized edo systems (~15 .. 41 steps).

• 16/15, 15/8
• 15/14, 28/15
• 14/13, 13/7
• 13/12, 24/13
• 12/11, 11/6
• 11/10, 20/11
• 10/9, 9/5
• 9/8, 16/9
• 8/7, 7/4
• 15/13, 26/15
• 7/6, 12/7
• 13/11, 22/13
• 6/5, 5/3
• 11/9, 18/11
• 16/13, 13/8
• 5/4, 8/5
• 14/11, 11/7
• 9/7, 14/9
• 13/10, 20/13
• 4/3, 3/2
• 15/11, 22/15
• 11/8, 16/11
• 18/13, 13/9
• 7/5, 10/7