User:MisterShafXen/16edf: Difference between revisions
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Prime factorization
24
Step size
43.8722 ¢
Octave
27\16edf (1184.55 ¢)
Twelfth
43\16edf (1886.5 ¢)
Consistency limit
3
Distinct consistency limit
3
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|32ed9/4|additional=Note names (3\82) C vCt Db ^C# vvD ^D Dt ^Eb Ed vE ^^E vF ^^F vGb F# vF#t G vGt Ab ^G# vvA ^A At ^Bb ^^A# vB ^^B vC ^^C vDb C# ^C#t D}}" Tags: Visual edit Mobile edit Mobile web edit |
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Latest revision as of 14:43, 1 August 2025
| ← 15edf | 16edf | 17edf → |
16 equal divisions of the perfect fifth (abbreviated 16edf or 16ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 16 equal parts of about 43.9 ¢ each. Each step represents a frequency ratio of (3/2)1/16, or the 16th root of 3/2.
Intervals
| Steps | Cents | Approximate ratios | Note names (3\82) |
|---|---|---|---|
| 0 | 0 | 1/1 | C |
| 1 | 43.9 | vCt | |
| 2 | 87.7 | 20/19, 21/20, 22/21 | Db |
| 3 | 131.6 | 14/13 | ^C# |
| 4 | 175.5 | 21/19 | vvD |
| 5 | 219.4 | 17/15 | ^D |
| 6 | 263.2 | Dt | |
| 7 | 307.1 | ^Eb | |
| 8 | 351 | Ed | |
| 9 | 394.8 | vE | |
| 10 | 438.7 | 22/17 | ^^E |
| 11 | 482.6 | vF | |
| 12 | 526.5 | 19/14, 23/17 | ^^F |
| 13 | 570.3 | vGb | |
| 14 | 614.2 | 10/7 | F# |
| 15 | 658.1 | 19/13, 22/15 | vF#t |
| 16 | 702 | 3/2 | G |
| 17 | 745.8 | 17/11, 20/13, 23/15 | vGt |
| 18 | 789.7 | 11/7 | Ab |
| 19 | 833.6 | 21/13 | ^G# |
| 20 | 877.4 | vvA | |
| 21 | 921.3 | 17/10 | ^A |
| 22 | 965.2 | At | |
| 23 | 1009.1 | ^Bb | |
| 24 | 1052.9 | ^^A# | |
| 25 | 1096.8 | vB | |
| 26 | 1140.7 | ^^B | |
| 27 | 1184.5 | vC | |
| 28 | 1228.4 | ^^C | |
| 29 | 1272.3 | 23/11 | vDb |
| 30 | 1316.2 | 15/7 | C# |
| 31 | 1360 | 11/5 | ^C#t |
| 32 | 1403.9 | 9/4 | D |