26edo: Difference between revisions
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==Theory== | ==Theory== | ||
===JI approximation=== | |||
26edo is characterized by a flat tuning of harmonics 3, 5, and 13 and an accurate tuning of 7 and 11. | |||
{{Harmonics in ED|26|31|0}} | {{Harmonics in ED|26|31|0}} | ||
Revision as of 20:23, 27 February 2026
This page or section is a work in progress. It may lack sufficient justification, content, or organization, and is subject to future overhaul.
26edo is the equal-step tuning that divides the octave into 26 equal parts of about 46.2 cents each.
Theory
JI approximation
26edo is characterized by a flat tuning of harmonics 3, 5, and 13 and an accurate tuning of 7 and 11.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | 0.0 | -9.6 | -17.1 | +0.4 | +2.5 | -9.8 | -12.6 | -20.6 | +17.9 | -14.2 | +8.8 |
| Relative (%) | 0.0 | -20.9 | -37.0 | +0.9 | +5.5 | -21.1 | -27.4 | -44.6 | +38.7 | -30.8 | +19.1 | |
| Steps
(reduced) |
26
(0) |
41
(15) |
60
(8) |
73
(21) |
90
(12) |
96
(18) |
106
(2) |
110
(6) |
118
(14) |
126
(22) |
129
(25) | |
TODO:
- write about flattone
- write about usability in the 13-limit
