User:BudjarnLambeth/Tritavesque

The tritavesque intervals^{[idiosyncratic term]} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common factors with a.

The first few tritavesque intervals are:

3/1, 4/1, 5/2, 6/1, 7/3, 8/3, 9/4, 10/3, 11/5...

As tritavesque intervals get more complex, they usually but not always get closer to 2/1.

Many of these intervals see use as equaves for edonoi and other nonoctave scales.

The more complex

List of tritavesque intervals

1. 3/1
2. 4/1
3. 5/2
4. 6/1
5. 7/3
6. 8/3
7. 9/4
8. 10/3
9. 11/5
10. 12/5
11. 13/6
12. 14/5
13. 15/7
14. 16/7
15. 17/8
16. 18/7
17. 19/9
18. 20/9
19. 21/10
20. 22/9
21. 23/11
22. 24/11
23. 25/12
24. 26/11
25. 27/13
26. 28/13
27. 29/14
28. 30/13

And so on...