User:CompactStar/8edso: Difference between revisions
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'''8 equal divisions of the superoctave''' is a [[super-pitch]] tuning system that tetratively divides the superoctave into 8 equally spaced steps. | '''8 equal divisions of the superoctave''' is a [[super-pitch]] tuning system that tetratively divides the superoctave into 8 equally spaced steps. | ||
8edso is notable for containing a close approximation to [[3/1]] according to the analytic extension of the tetration developed by Kneser, hereby producing a strong approximation to the super-pitch equivalent of the [[Pythagorean tuning]]. | 8edso is notable for containing a close approximation to [[3/1]] (as well as log<sub>2</sub>(3)) according to the analytic extension of the tetration developed by Kneser, hereby producing a strong approximation to the super-pitch equivalent of the [[Pythagorean tuning]]. | ||
== Intervals == | == Intervals == | ||
Revision as of 00:48, 1 July 2023
8 equal divisions of the superoctave is a super-pitch tuning system that tetratively divides the superoctave into 8 equally spaced steps.
8edso is notable for containing a close approximation to 3/1 (as well as log2(3)) according to the analytic extension of the tetration developed by Kneser, hereby producing a strong approximation to the super-pitch equivalent of the Pythagorean tuning.
Intervals
| Step | Linear value |
|---|---|
| 1 | 1.11149118 |
| 2 | 1.22436140 |
| 3 | 1.33973255 |
| 4 | 1.45878181 |
| 5 | 1.58278746 |
| 6 | 1.71318047 |
| 7 | 1.85160598 |
| 8 | 2 |