User:MisterShafXen/27ed8/5: Difference between revisions
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Prime factorization
33
Step size
30.1365 ¢
Octave
40\27ed8/5 (1205.46 ¢)
Twelfth
63\27ed8/5 (1898.6 ¢) (→ 7\3ed8/5)
Consistency limit
4
Distinct consistency limit
4
Created page with "{{Infobox ET|27ed8/5}} {{ED intro}} == Intervals == {{Interval table|27ed8/5}}" Tags: Visual edit Mobile edit Mobile web edit |
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{{Infobox ET|27ed8/5}} | {{Infobox ET|27ed8/5|debug=true}} | ||
{{ED intro}} | {{ED intro}} | ||
== Intervals == | == Intervals == | ||
{{Interval table|27ed8/5}} | {{Interval table|27ed8/5}} | ||
Latest revision as of 13:34, 6 March 2026
| ← 26ed8/5 | 27ed8/5 | 28ed8/5 → |
27 equal divisions of 8/5 (abbreviated 27ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 27 equal parts of about 30.1 ¢ each. Each step represents a frequency ratio of (8/5)1/27, or the 27th root of 8/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 30.1 | |
| 2 | 60.3 | |
| 3 | 90.4 | 18/17, 19/18, 20/19, 21/20, 22/21 |
| 4 | 120.5 | |
| 5 | 150.7 | 12/11, 23/21 |
| 6 | 180.8 | 10/9, 21/19 |
| 7 | 211 | 26/23 |
| 8 | 241.1 | 8/7, 15/13, 23/20 |
| 9 | 271.2 | 7/6, 20/17 |
| 10 | 301.4 | |
| 11 | 331.5 | 17/14, 23/19 |
| 12 | 361.6 | 21/17, 26/21 |
| 13 | 391.8 | |
| 14 | 421.9 | 14/11, 23/18 |
| 15 | 452 | 13/10, 22/17 |
| 16 | 482.2 | |
| 17 | 512.3 | 23/17 |
| 18 | 542.5 | 11/8, 26/19 |
| 19 | 572.6 | 18/13 |
| 20 | 602.7 | 17/12, 24/17 |
| 21 | 632.9 | 13/9 |
| 22 | 663 | 19/13 |
| 23 | 693.1 | 3/2 |
| 24 | 723.3 | |
| 25 | 753.4 | 17/11, 20/13 |
| 26 | 783.5 | 11/7 |
| 27 | 813.7 |