4231edo: Difference between revisions

Revision as of 07:53, 14 February 2023

Prime factorization

4231 (prime)

Step size

0.283621 ¢

Fifth

2475\4231 (701.962 ¢)

Semitones (A1:m2)

401:318 (113.7 ¢ : 90.19 ¢)

Consistency limit

11

Distinct consistency limit

11

Template:EDO intro It is a zeta peak integer edo. Like the previous zeta peak integer edo 3566edo, it tempers out the lakisma and the monzisma.

Approximation of prime harmonics in 4231edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0067	-0.0221	+0.0231	+0.0411	+0.1247	-0.0157	+0.0053	-0.0541	-0.0334	-0.0580
Error	Relative (%)	+0.0	+2.4	-7.8	+8.1	+14.5	+44.0	-5.5	+1.9	-19.1	-11.8	-20.5
Steps (reduced)		4231 (0)	6706 (2475)	9824 (1362)	11878 (3416)	14637 (1944)	15657 (2964)	17294 (370)	17973 (1049)	19139 (2215)	20554 (3630)	20961 (4037)

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 {{Infobox ET}}
-'''4231edo''' divides the octave into 4231 parts that are approximately .283621¢ each. It is a [[zeta peak integer edo]]. Like the previous zeta peak integer edo [[3566edo]], it tempers out the [[lakisma]] and the [[monzisma]].
+{{EDO intro|4231}} It is a [[zeta peak integer edo]]. Like the previous zeta peak integer edo [[3566edo]], it tempers out the [[lakisma]] and the [[monzisma]].
-{{Primes in edo|4231|prec=4}}
+=== Prime harmonics ===
+{{Harmonics in equal|4231|prec=4}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+[[Category:Zeta|####]] <!-- 4-digit number -->
-[[Category:Zeta]]