39ed9: Difference between revisions
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Dummy index (talk | contribs) I don't think it's a good idea to consider 9 as 27/3, but even so, why is it 9th and not 3rd? |
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{{Infobox ET}} | {{Infobox ET}} | ||
Similar to [[97.5cET]], 39ed9 divides the double tritave, [[9/1]], into 39 equal steps of approximately 97.5362c. It stands out as a 4/3.5/3.7/3.11/3.13/3.9 [[subgroup]] tuning. This is a [[half-prime subgroup| | Similar to [[97.5cET]], 39ed9 divides the double tritave, [[9/1]], into 39 equal steps of approximately 97.5362c. It stands out as a 4/3.5/3.7/3.11/3.13/3.9 [[subgroup]] tuning. This is a [[half-prime subgroup|third-basis subgroup]].{{idiosyncratic}} | ||
== Intervals == | == Intervals == | ||
Revision as of 13:20, 23 December 2024
| ← 37ed9 | 39ed9 | 41ed9 → |
Similar to 97.5cET, 39ed9 divides the double tritave, 9/1, into 39 equal steps of approximately 97.5362c. It stands out as a 4/3.5/3.7/3.11/3.13/3.9 subgroup tuning. This is a third-basis subgroup.[idiosyncratic term]
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 97.5 | |
| 2 | 195.1 | 19/17, 29/26 |
| 3 | 292.6 | 13/11 |
| 4 | 390.1 | |
| 5 | 487.7 | |
| 6 | 585.2 | 7/5 |
| 7 | 682.8 | |
| 8 | 780.3 | 11/7 |
| 9 | 877.8 | 5/3 |
| 10 | 975.4 | |
| 11 | 1072.9 | 13/7 |
| 12 | 1170.4 | |
| 13 | 1268 | 29/14 |
| 14 | 1365.5 | 11/5 |
| 15 | 1463 | 7/3 |
| 16 | 1560.6 | |
| 17 | 1658.1 | 13/5 |
| 18 | 1755.7 | |
| 19 | 1853.2 | |
| 20 | 1950.7 | |
| 21 | 2048.3 | |
| 22 | 2145.8 | |
| 23 | 2243.3 | 11/3 |
| 24 | 2340.9 | |
| 25 | 2438.4 | |
| 26 | 2535.9 | 13/3 |
| 27 | 2633.5 | |
| 28 | 2731 | 29/6 |
| 29 | 2828.5 | |
| 30 | 2926.1 | |
| 31 | 3023.6 | |
| 32 | 3121.2 | |
| 33 | 3218.7 | |
| 34 | 3316.2 | |
| 35 | 3413.8 | |
| 36 | 3511.3 | |
| 37 | 3608.8 | |
| 38 | 3706.4 | 17/2 |
| 39 | 3803.9 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -29.6 | +48.8 | +38.4 | +42.2 | +19.2 | +44.9 | +8.8 | +0.0 | +12.7 | +42.7 | -10.4 |
| Relative (%) | -30.3 | +50.0 | +39.4 | +43.3 | +19.7 | +46.1 | +9.1 | +0.0 | +13.0 | +43.8 | -10.6 | |
| Steps (reduced) |
12 (12) |
20 (20) |
25 (25) |
29 (29) |
32 (32) |
35 (35) |
37 (37) |
39 (0) |
41 (2) |
43 (4) |
44 (5) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +46.1 | +15.4 | -6.5 | -20.7 | -28.1 | -29.6 | -25.6 | -16.9 | -3.8 | +13.2 | +33.8 |
| Relative (%) | +47.3 | +15.8 | -6.7 | -21.3 | -28.9 | -30.3 | -26.3 | -17.3 | -3.9 | +13.5 | +34.6 | |
| Steps (reduced) |
46 (7) |
47 (8) |
48 (9) |
49 (10) |
50 (11) |
51 (12) |
52 (13) |
53 (14) |
54 (15) |
55 (16) |
56 (17) | |
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