8ed6: Difference between revisions
Jump to navigation
Jump to search
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {| class="wikitable" |+ !# !Cents !Approximate JI ratio(s) |- |0 |0.000 |exact 1/1 |- |1 |387.744 |5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11 |- |2 |775.489 |3/2, 11/7 |- |3 |1163.233 |2/1 |- |4 |1550.978 |5/2, 7/3 |- |5 |1938.722 |3/1 |- |6 |2326.466 |4/1 |- |7 |2714.211 |5/1 |- |8 |3101.955 |exact 6/1 |} == Harmonics == {| class="wikitable" |+ !# !2 !3 !4 !5 !6 !7 !8 !9 !10 !11 !12 |- |Steps |3 |5 |6 |7 |8 |9..." Tags: Visual edit Mobile edit Mobile web edit |
(No difference)
|
Revision as of 11:42, 15 July 2025
← 7ed6 | 8ed6 | 9ed6 → |
(semiconvergent)
(semiconvergent)
8 equal divisions of the 6th harmonic (abbreviated 8ed6) is a nonoctave tuning system that divides the interval of 6/1 into 8 equal parts of about 388 ¢ each. Each step represents a frequency ratio of 61/8, or the 8th root of 6.
Intervals
# | Cents | Approximate JI ratio(s) |
---|---|---|
0 | 0.000 | exact 1/1 |
1 | 387.744 | 5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11 |
2 | 775.489 | 3/2, 11/7 |
3 | 1163.233 | 2/1 |
4 | 1550.978 | 5/2, 7/3 |
5 | 1938.722 | 3/1 |
6 | 2326.466 | 4/1 |
7 | 2714.211 | 5/1 |
8 | 3101.955 | exact 6/1 |
Harmonics
# | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|---|
Steps | 3 | 5 | 6 | 7 | 8 | 9 | 9 | 10 | 10 | 11 | 11 |
Reduced | 3 | 5 | 6 | 7 | 0 | 1 | 1 | 2 | 2 | 3 | 3 |