4edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2010-05-23 01:37:40 UTC.
- The original revision id was 143977613.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Like [[3EDO]], 4EDO is already familiar as a chord of 12EDO. Again, however, it has a theoretical interest in that it preserves a kind of outline, or skeleton, of melodic movement while erasing key distinctions concerning harmony. The 7-limit tuning map, or [[Vals and Tuning Space|val]], for 4EDO goes <4 6 9 11|, all of which are distinct modulo 4. It therefore goes with tetradic harmony in much the same way that 3EDO goes with triadic harmony, and sends 15/14, 21/20, 25/24, and 36/35 to 1, as well as, sometimes confusingly, 9/8. By encoding what kind of tetrad a note belongs to (even when there are no other notes, or they belong to other tetrads) we can reconsitute 9-odd-limit tetradic harmony, and change the harmonic content of a note without changing its 4EDO skeletal position.
Original HTML content:
<html><head><title>4edo</title></head><body>Like <a class="wiki_link" href="/3EDO">3EDO</a>, 4EDO is already familiar as a chord of 12EDO. Again, however, it has a theoretical interest in that it preserves a kind of outline, or skeleton, of melodic movement while erasing key distinctions concerning harmony. The 7-limit tuning map, or <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">val</a>, for 4EDO goes <4 6 9 11|, all of which are distinct modulo 4. It therefore goes with tetradic harmony in much the same way that 3EDO goes with triadic harmony, and sends 15/14, 21/20, 25/24, and 36/35 to 1, as well as, sometimes confusingly, 9/8.<br /> <br /> By encoding what kind of tetrad a note belongs to (even when there are no other notes, or they belong to other tetrads) we can reconsitute 9-odd-limit tetradic harmony, and change the harmonic content of a note without changing its 4EDO skeletal position.</body></html>