2901edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|2901}} 2901edo is consistent in the 17-odd-limit and is otherwise an excellent 31-limit system, with only the pair {19/17, 34/19} b..." |
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{{EDO intro|2901}} | {{EDO intro|2901}} | ||
2901edo is [[consistent]] in the [[17-odd-limit]] and is otherwise an excellent 31-limit system, with only the pair {[[19/17]], [[34/19]]} being mapped inconsistently. It is a member of the [[optimal GPV sequence]] for the [[jacobin]] temperament in the 13-limit, the rank-5 temperament tempering out [[6656/6655]]. Alongside jacobin, it tunes the [[tridecimal quartismic]] temperament. | 2901edo is [[consistent]] in the [[17-odd-limit]] and is otherwise an excellent 31-limit system, with only the pair {[[19/17]], [[34/19]]} being mapped inconsistently. It is a member of the [[optimal GPV sequence]] for the [[jacobin]] temperament in the 13-limit, the rank-5 temperament tempering out [[6656/6655]]. Alongside jacobin, it tunes the [[tridecimal quartismic]] temperament, tempering out the [[quartisma]] and {6656/6655, 123201/123200}. It also tunes the [[monzismic]] temperament. | ||
=== Harmonics in equal === | === Harmonics in equal === | ||
Revision as of 22:27, 29 September 2023
| ← 2900edo | 2901edo | 2902edo → |
2901edo is consistent in the 17-odd-limit and is otherwise an excellent 31-limit system, with only the pair {19/17, 34/19} being mapped inconsistently. It is a member of the optimal GPV sequence for the jacobin temperament in the 13-limit, the rank-5 temperament tempering out 6656/6655. Alongside jacobin, it tunes the tridecimal quartismic temperament, tempering out the quartisma and {6656/6655, 123201/123200}. It also tunes the monzismic temperament.
Harmonics in equal
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.010 | +0.036 | -0.057 | +0.078 | +0.010 | +0.112 | -0.098 | +0.061 | -0.001 | -0.051 |
| Relative (%) | +0.0 | +2.4 | +8.7 | -13.7 | +18.9 | +2.4 | +27.0 | -23.8 | +14.7 | -0.3 | -12.3 | |
| Steps (reduced) |
2901 (0) |
4598 (1697) |
6736 (934) |
8144 (2342) |
10036 (1333) |
10735 (2032) |
11858 (254) |
12323 (719) |
13123 (1519) |
14093 (2489) |
14372 (2768) | |