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The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a. | The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common factirs with a. | ||
The tritavesque intervals are: | The first few tritavesque intervals are: | ||
[[3/1]], [[4/1]], [[5/2]], 6/ | [[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 | 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. | ||
The more complex | |||
== 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... | |||
[[Category:Lists of intervals]][[Category:Nonoctave]][[Category:Edonoi]] | [[Category:Lists of intervals]][[Category:Nonoctave]][[Category:Edonoi]] | ||
Revision as of 12:02, 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 factirs 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
- 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...