17461edo: Difference between revisions

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{{Infobox ET|Consistency=45|Distinct consistency=45}}
{{Infobox ET|Consistency=45|Distinct consistency=45}}
'''17461edo''' is a remarkable very high limit equal temperament, [[EDO|dividing the octave equally]] into 17461 parts of 0.0687246 [[cent]]s each. It is [[consistent]] through the [[45-odd-limit|45-limit]] distinctly, tempering 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.
{{EDO intro|17461}} It is a remarkable very high-limit equal temperament. It is [[consistent]] through the [[45-odd-limit]] distinctly, tempering 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.


[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->
=== Prime harmonics ===
{{Harmonics in equal|17461}}

Revision as of 10:43, 14 February 2023

← 17460edo 17461edo 17462edo →
Prime factorization 19 × 919
Step size 0.0687246 ¢ 
Fifth 10214\17461 (701.953 ¢)
Semitones (A1:m2) 1654:1313 (113.7 ¢ : 90.24 ¢)
Consistency limit 45
Distinct consistency limit 45

Template:EDO intro It is a remarkable very high-limit equal temperament. It is consistent through the 45-odd-limit distinctly, tempering 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

Approximation of prime harmonics in 17461edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0021 -0.0128 -0.0154 -0.0093 -0.0260 -0.0130 -0.0043 +0.0058 -0.0142 -0.0152
Relative (%) +0.0 -3.0 -18.6 -22.4 -13.5 -37.8 -18.9 -6.2 +8.5 -20.6 -22.2
Steps
(reduced)
17461
(0)
27675
(10214)
40543
(5621)
49019
(14097)
60405
(8022)
64613
(12230)
71371
(1527)
74173
(4329)
78986
(9142)
84825
(14981)
86505
(16661)