User:BudjarnLambeth/Tritavesque: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
mNo edit summary |
||
| Line 7: | Line 7: | ||
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. They also see use as ninths of scales in edonoi, especially [[EDT]]s. | ||
The more complex among these intervals can be used as [[pseudo-octave]]s. | |||
== List of tritavesque intervals == | == List of tritavesque intervals == | ||
Revision as of 12:08, 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. They also see use as ninths of scales in edonoi, especially EDTs.
The more complex among these intervals can be used as pseudo-octaves.
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...