User:BudjarnLambeth/Tritavesque: Difference between revisions
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As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]]. | As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]]. | ||
Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales. | Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales. | ||
== List of tritavesque intervals == | == List of tritavesque intervals == | ||
Revision as of 12:06, 5 October 2024
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.
List of tritavesque intervals
- 3/1
- 4/1
- 5/2
- 6/1
- 7/3
- 8/3
- 9/4
- 10/3
- 11/5
- 12/5
- 13/6
- 14/5
- 15/7
- 16/7
- 17/8
- 18/7
- 19/9
- 20/9
- 21/10
- 22/9
- 23/11
- 24/11
- 25/12
- 26/11
- 27/13
- 28/13
- 29/14
- 30/13
And so on...