User:BudjarnLambeth/Tritavesque: Difference between revisions
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The tritavesque intervals are: | The tritavesque intervals are: | ||
[[3/1]], [[4/1]], [[5/2]], 6/2, [[7/3]], [[8/3]], [[9/4]], 10/4, [[11/5]], [[12/5]], [[13/6]], 14/6, [[15/7]], [[16/7]], [[17/8]], 18/8, [[19/9]], [[20/9]], [[21/10]], 22/10, [[23/11]], [[24/11], [[25/12]], ... | [[3/1]], [[4/1]], [[5/2]], 6/2, [[7/3]], [[8/3]], [[9/4]], 10/4, [[11/5]], [[12/5]], [[13/6]], 14/6, [[15/7]], [[16/7]], [[17/8]], 18/8, [[19/9]], [[20/9]], [[21/10]], 22/10, [[23/11]], [[24/11]], [[25/12]], ... | ||
As tritavesque intervals get more complex, they tend closer and closer towards [[2/1]] but never reach it. | As tritavesque intervals get more complex, they tend closer and closer towards [[2/1]] but never reach it. | ||
Revision as of 11:39, 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.
The tritavesque intervals are:
3/1, 4/1, 5/2, 6/2, 7/3, 8/3, 9/4, 10/4, 11/5, 12/5, 13/6, 14/6, 15/7, 16/7, 17/8, 18/8, 19/9, 20/9, 21/10, 22/10, 23/11, 24/11, 25/12, ...
As tritavesque intervals get more complex, they tend closer and closer towards 2/1 but never reach it.
Many of these intervals see use as equaves for edonoi and other nonoctave scales.