User:MisterShafXen/30ed8/5: Difference between revisions
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Prime factorization
2 × 3 × 5
Step size
27.1229 ¢
Octave
44\30ed8/5 (1193.41 ¢) (→ 22\15ed8/5)
Twelfth
70\30ed8/5 (1898.6 ¢) (→ 7\3ed8/5)
Consistency limit
4
Distinct consistency limit
4
Created page with "{{Infobox ET|30ed8/5}} {{ED intro}} == Intervals == {{Interval table|30ed8/5}}" Tags: Visual edit Mobile edit Mobile web edit |
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{{Infobox ET|30ed8/5}} | {{Infobox ET|30ed8/5|debug=true}} | ||
{{ED intro}} | {{ED intro}} | ||
== Intervals == | == Intervals == | ||
{{Interval table|30ed8/5}} | {{Interval table|30ed8/5}} | ||
Latest revision as of 13:35, 6 March 2026
| ← 29ed8/5 | 30ed8/5 | 31ed8/5 → |
30 equal divisions of 8/5 (abbreviated 30ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 30 equal parts of about 27.1 ¢ each. Each step represents a frequency ratio of (8/5)1/30, or the 30th root of 8/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 27.1 | |
| 2 | 54.2 | |
| 3 | 81.4 | 20/19, 21/20, 22/21, 23/22 |
| 4 | 108.5 | |
| 5 | 135.6 | |
| 6 | 162.7 | 11/10, 23/21 |
| 7 | 189.9 | 10/9, 19/17 |
| 8 | 217 | 17/15, 26/23 |
| 9 | 244.1 | 15/13, 22/19, 23/20 |
| 10 | 271.2 | 7/6, 27/23 |
| 11 | 298.4 | 13/11 |
| 12 | 325.5 | 23/19 |
| 13 | 352.6 | 11/9, 27/22 |
| 14 | 379.7 | 26/21 |
| 15 | 406.8 | 19/15 |
| 16 | 434 | 9/7, 23/18 |
| 17 | 461.1 | 13/10, 17/13 |
| 18 | 488.2 | 4/3 |
| 19 | 515.3 | 23/17, 27/20 |
| 20 | 542.5 | 15/11, 26/19 |
| 21 | 569.6 | |
| 22 | 596.7 | |
| 23 | 623.8 | 10/7 |
| 24 | 650.9 | 19/13 |
| 25 | 678.1 | |
| 26 | 705.2 | 3/2 |
| 27 | 732.3 | 23/15, 26/17 |
| 28 | 759.4 | 14/9, 17/11 |
| 29 | 786.6 | 11/7 |
| 30 | 813.7 |