2901edo: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
Rework to improve beginner-friendliness |
||
| Line 2: | Line 2: | ||
{{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 in the 31-odd-limit. It | 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 in the [[31-odd-limit]]. It provides a good tuning for the [[jacobin]] temperament in the 13-limit, the rank-5 temperament [[tempering out]] [[6656/6655]]. Alongside jacobin, it tunes the tridecimal [[quartismic]] temperament, which also tempers out [[123201/123200]]. It also tunes the [[monzismic]] temperament. | ||
=== | === Prime harmonics === | ||
{{Harmonics in equal|2901}} | {{Harmonics in equal|2901}} | ||
[[Category:Jacobin]] | [[Category:Jacobin]] | ||
[[Category:Quartismic]] | |||
Revision as of 11:43, 15 October 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 in the 31-odd-limit. It provides a good tuning for the jacobin temperament in the 13-limit, the rank-5 temperament tempering out 6656/6655. Alongside jacobin, it tunes the tridecimal quartismic temperament, which also tempers out 123201/123200. It also tunes the monzismic temperament.
Prime harmonics
| 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) | |