20203edo: Difference between revisions

Line 1:

~~'''20203edo''' is the [[~~EDO|~~equal division of the octave]] into~~ 20203 ~~parts of 0.05939712 [[cent]]s each. It~~ is a very strong high limit edo, with a lower 19-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any edo until 128125. It is also distinctly consistent through the [[45-odd-limit|45-limit]], and has a lower relative error than any smaller distinctly consistent 41-limit patent val except 17461. It tempers out 47151/47150, 52326/52325, 69875/69874, 81796/81795, 111112/111111, 127281/127280, 156520/156519, 315495/315491, 395200/395199, 728365/728364, 1324323/1324300, 1518804/1518803, and 3845961/3845920 in the 43-limit.

==Theory==

2023edo is a very strong high limit edo, with a lower 19-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any edo until 128125. It is also distinctly consistent through the [[45-odd-limit|45-limit]], and has a lower relative error than any smaller distinctly consistent 41-limit patent val except 17461. It tempers out 47151/47150, 52326/52325, 69875/69874, 81796/81795, 111112/111111, 127281/127280, 156520/156519, 315495/315491, 395200/395199, 728365/728364, 1324323/1324300, 1518804/1518803, and 3845961/3845920 in the 43-limit.

===Prime harmonics===

[[Category:Equal divisions of the octave|#####]]

@@ Line 1: / Line 1: @@
 {{Infobox ET|Consistency=45|Distinct consistency=45}}
-'''20203edo''' is the [[EDO|equal division of the octave]] into 20203 parts of 0.05939712 [[cent]]s each. It is a very strong high limit edo, with a lower 19-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any edo until 128125. It is also distinctly consistent through the [[45-odd-limit|45-limit]], and has a lower relative error than any smaller distinctly consistent 41-limit patent val except 17461. It tempers out 47151/47150, 52326/52325, 69875/69874, 81796/81795, 111112/111111, 127281/127280, 156520/156519, 315495/315491, 395200/395199, 728365/728364, 1324323/1324300, 1518804/1518803, and 3845961/3845920 in the 43-limit.
+{{EDO intro|20203}}
+==Theory==
+edo is a very strong high limit edo, with a lower 19-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any edo until 128125. It is also distinctly consistent through the [[45-odd-limit|45-limit]], and has a lower relative error than any smaller distinctly consistent 41-limit patent val except 17461. It tempers out 47151/47150, 52326/52325, 69875/69874, 81796/81795, 111112/111111, 127281/127280, 156520/156519, 315495/315491, 395200/395199, 728365/728364, 1324323/1324300, 1518804/1518803, and 3845961/3845920 in the 43-limit.
+===Prime harmonics===
+{{harmonics in equal|20203}}
 [[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->