1984edo: Difference between revisions
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{{EDO intro|1984}} | {{EDO intro|1984}} | ||
1984edo is consistent in the [[7-odd-limit]] and it is a mostly sharp system, with 3, 5, 7, 11, and 17 all tuned sharp. Though, the harmonics 9 and 15 are tuned flat and are one step off their | 1984edo is consistent in the [[7-odd-limit]] and it is a mostly sharp system, with 3, 5, 7, 11, and 17 all tuned sharp. Though, the harmonics 9 and 15 are tuned flat and in consistent mapping they are one step off their direct mapping. In higher limit, 1984edo approximates well the 2.9.19.31.33 subgroup. | ||
In the 7-limit it tempers out the [[wizma]] (420175/419904), the [[garischisma]] (33554432/33480783), and the [[pessoalisma]] (2147483648/2144153025). | In the 7-limit it tempers out the [[wizma]] (420175/419904), the [[garischisma]] (33554432/33480783), and the [[pessoalisma]] (2147483648/2144153025). | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{harmonics in equal|1984}} | {{harmonics in equal|1984}} | ||
Revision as of 15:50, 1 November 2023
| ← 1983edo | 1984edo | 1985edo → |
1984edo is consistent in the 7-odd-limit and it is a mostly sharp system, with 3, 5, 7, 11, and 17 all tuned sharp. Though, the harmonics 9 and 15 are tuned flat and in consistent mapping they are one step off their direct mapping. In higher limit, 1984edo approximates well the 2.9.19.31.33 subgroup.
In the 7-limit it tempers out the wizma (420175/419904), the garischisma (33554432/33480783), and the pessoalisma (2147483648/2144153025).
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.263 | +0.178 | +0.126 | -0.079 | +0.295 | +0.198 | -0.164 | +0.287 | +0.068 | -0.216 | +0.153 |
| Relative (%) | +43.4 | +29.5 | +20.8 | -13.1 | +48.8 | +32.8 | -27.1 | +47.4 | +11.2 | -35.8 | +25.3 | |
| Steps (reduced) |
3145 (1161) |
4607 (639) |
5570 (1602) |
6289 (337) |
6864 (912) |
7342 (1390) |
7751 (1799) |
8110 (174) |
8428 (492) |
8714 (778) |
8975 (1039) | |