17461edo: Difference between revisions
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41-limit notability |
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{{Infobox ET|Consistency=45|Distinct consistency=45}} | {{Infobox ET|Consistency=45|Distinct consistency=45}} | ||
{{EDO intro|17461}} | {{EDO intro|17461}} | ||
17461edo is a remarkable very high-limit system, distinctly [[consistent]] through the [[45-odd-limit]], and has a lower [[relative error]] than any previous equal temperaments in the 41-limit. It tempers out 33670/33669, 67425/67424, 81549/81548, 101270/101269, 115885/115884, 120745/120744, 127281/127280, 203320/203319, 355725/355718, 728365/728364, 730639/730620, 2942775/2942758, and 7172253/7172228 in the 43-limit. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|17461}} | {{Harmonics in equal|17461|columns=15}} | ||
Revision as of 12:23, 20 February 2023
| ← 17460edo | 17461edo | 17462edo → |
17461edo is a remarkable very high-limit system, distinctly consistent through the 45-odd-limit, and has a lower relative error than any previous equal temperaments in the 41-limit. It tempers out 33670/33669, 67425/67424, 81549/81548, 101270/101269, 115885/115884, 120745/120744, 127281/127280, 203320/203319, 355725/355718, 728365/728364, 730639/730620, 2942775/2942758, and 7172253/7172228 in the 43-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0021 | -0.0128 | -0.0154 | -0.0093 | -0.0260 | -0.0130 | -0.0043 | +0.0058 | -0.0142 | -0.0152 | -0.0182 | -0.0148 | -0.0006 | +0.0223 |
| Relative (%) | +0.0 | -3.0 | -18.6 | -22.4 | -13.5 | -37.8 | -18.9 | -6.2 | +8.5 | -20.6 | -22.2 | -26.5 | -21.6 | -0.9 | +32.4 | |
| Steps (reduced) |
17461 (0) |
27675 (10214) |
40543 (5621) |
49019 (14097) |
60405 (8022) |
64613 (12230) |
71371 (1527) |
74173 (4329) |
78986 (9142) |
84825 (14981) |
86505 (16661) |
90962 (3657) |
93548 (6243) |
94748 (7443) |
96989 (9684) | |