User:CompactStar/8edso: Difference between revisions
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Created page with "'''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 conta..." |
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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]] 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 == | |||
{| class="wikitable" | |||
|+ | |||
!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 | |||
|} | |||
Revision as of 15:16, 30 June 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 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 |