2029edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|2029}} 2029edo is consistent in the 15-odd-limit and it is also a good 23-limit system (particularly a no-17s 23-limit system), with all pr..." |
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{{EDO intro|2029}} | {{EDO intro|2029}} | ||
2029edo is [[consistent]] in the [[15-odd-limit]] and it is also a good 23-limit system (particularly a no-17s 23-limit system), with all prime harmonics from 3 through | 2029edo is [[consistent]] in the [[15-odd-limit]] and it is also a good 23-limit system (particularly a no-17s 23-limit system), with all prime harmonics from 3 through 23 tuned flat. | ||
In the 29-limit, despite inconsistency, it does provide a strong tuning for the rank-9 [[bronxismic]] temperament, tempering out 10472/10469. | In the 29-limit, despite inconsistency, it does provide a strong tuning for the rank-9 [[Bronxisma|bronxismic]] temperament, tempering out 10472/10469. | ||
{{harmonics in equal|2029}} | {{harmonics in equal|2029}} | ||
Revision as of 01:18, 17 December 2024
| ← 2028edo | 2029edo | 2030edo → |
2029edo is consistent in the 15-odd-limit and it is also a good 23-limit system (particularly a no-17s 23-limit system), with all prime harmonics from 3 through 23 tuned flat.
In the 29-limit, despite inconsistency, it does provide a strong tuning for the rank-9 bronxismic temperament, tempering out 10472/10469.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.066 | -0.114 | -0.073 | -0.110 | -0.114 | -0.273 | -0.027 | -0.182 | +0.093 | -0.038 |
| Relative (%) | +0.0 | +11.1 | -19.2 | -12.3 | -18.7 | -19.2 | -46.2 | -4.5 | -30.7 | +15.7 | -6.4 | |
| Steps (reduced) |
2029 (0) |
3216 (1187) |
4711 (653) |
5696 (1638) |
7019 (932) |
7508 (1421) |
8293 (177) |
8619 (503) |
9178 (1062) |
9857 (1741) |
10052 (1936) | |