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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 |
ArrowHead294 (talk | contribs) m Formatting |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
== Intervals == | == Intervals == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! # | |||
! Cents | |||
! Approximate JI ratio(s) | |||
|- | |- | ||
| | | 0 | ||
| | | 0.000 | ||
| | | exact 1/1 | ||
|- | |- | ||
| | | 1 | ||
| | | 387.744 | ||
|3/ | | 5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11 | ||
|- | |- | ||
| | | 2 | ||
| | | 775.489 | ||
|2/ | | 3/2, 11/7 | ||
|- | |- | ||
| | | 3 | ||
| | | 1163.233 | ||
| | | 2/1 | ||
|- | |- | ||
| | | 4 | ||
| | | 1550.978 | ||
|3 | | 5/2, 7/3 | ||
|- | |- | ||
| | | 5 | ||
| | | 1938.722 | ||
| | | 3/1 | ||
|- | |- | ||
| | | 6 | ||
| | | 2326.466 | ||
| | | 4/1 | ||
|- | |- | ||
|8 | | 7 | ||
|3101.955 | | 2714.211 | ||
|exact 6/1 | | 5/1 | ||
|- | |||
| 8 | |||
| 3101.955 | |||
| exact 6/1 | |||
|} | |} | ||
== Harmonics == | == Harmonics == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
|Steps | ! # | ||
|3 | ! 2 | ||
|5 | ! 3 | ||
|6 | ! 4 | ||
|7 | ! 5 | ||
|8 | ! 6 | ||
|9 | ! 7 | ||
|9 | ! 8 | ||
|10 | ! 9 | ||
|10 | ! 10 | ||
|11 | ! 11 | ||
|11 | ! 12 | ||
|- | |||
| Steps | |||
| 3 | |||
| 5 | |||
| 6 | |||
| 7 | |||
| 8 | |||
| 9 | |||
| 9 | |||
| 10 | |||
| 10 | |||
| 11 | |||
| 11 | |||
|- | |- | ||
|Reduced | | Reduced | ||
|3 | | 3 | ||
|5 | | 5 | ||
|6 | | 6 | ||
|7 | | 7 | ||
|0 | | 0 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|2 | | 2 | ||
|2 | | 2 | ||
|3 | | 3 | ||
|3 | | 3 | ||
|} | |} | ||
Revision as of 17:23, 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 |