User:MisterShafXen/26edt: Difference between revisions
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Prime factorization
2 × 13
Step size
73.1521 ¢
Octave
16\26edt (1170.43 ¢) (→ 8\13edt)
Consistency limit
3
Distinct consistency limit
3
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|26edt|additional=Note names (5\82) C vDb ^^C# ^D Eb ^D#t ^^E ^F Gb ^F#t ^^G ^Ab G#t vAt A# vB vvC vCt C# vD Dt ^D# E vF Ft ^F# G}}" Tags: Visual edit Mobile edit Mobile web edit |
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Latest revision as of 14:43, 1 August 2025
| ← 25edt | 26edt | 27edt → |
26 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 26edt or 26ed3), is a nonoctave tuning system that divides the interval of 3/1 into 26 equal parts of about 73.2 ¢ each. Each step represents a frequency ratio of 31/26, or the 26th root of 3.
Intervals
| Steps | Cents | Hekts | Approximate ratios | Note names (5\82) |
|---|---|---|---|---|
| 0 | 0 | 0 | 1/1 | C |
| 1 | 73.2 | 50 | 22/21, 23/22, 26/25 | vDb |
| 2 | 146.3 | 100 | 23/21, 25/23 | ^^C# |
| 3 | 219.5 | 150 | 17/15, 25/22, 26/23 | ^D |
| 4 | 292.6 | 200 | 13/11, 25/21 | Eb |
| 5 | 365.8 | 250 | 21/17, 26/21 | ^D#t |
| 6 | 438.9 | 300 | 9/7, 22/17 | ^^E |
| 7 | 512.1 | 350 | 23/17 | ^F |
| 8 | 585.2 | 400 | 7/5 | Gb |
| 9 | 658.4 | 450 | 19/13, 22/15, 25/17 | ^F#t |
| 10 | 731.5 | 500 | 23/15, 26/17 | ^^G |
| 11 | 804.7 | 550 | ^Ab | |
| 12 | 877.8 | 600 | 5/3 | G#t |
| 13 | 951 | 650 | 19/11, 26/15 | vAt |
| 14 | 1024.1 | 700 | 9/5 | A# |
| 15 | 1097.3 | 750 | 17/9 | vB |
| 16 | 1170.4 | 800 | vvC | |
| 17 | 1243.6 | 850 | vCt | |
| 18 | 1316.7 | 900 | 15/7 | C# |
| 19 | 1389.9 | 950 | vD | |
| 20 | 1463 | 1000 | 7/3 | Dt |
| 21 | 1536.2 | 1050 | 17/7, 22/9 | ^D# |
| 22 | 1609.3 | 1100 | E | |
| 23 | 1682.5 | 1150 | vF | |
| 24 | 1755.7 | 1200 | Ft | |
| 25 | 1828.8 | 1250 | 26/9 | ^F# |
| 26 | 1902 | 1300 | 3/1 | G |