638edo: Difference between revisions

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{{Infobox ET}}
The '''638 equal temperament''' divides the octave into 638 equal parts of 1.881 cents each. It tempers out the minortone comma, | -16 35 -17 >, in the 5-limit, 4375/4374 in the 7-limit, 43923/43904, 3025/3024, 9801/9800 in the 11-limit, and 625/624, 729/728, 1575/1573, 2200/2197 and 4225/4224 in the 13-limit. It supplies the optimal patent val for [[Ragismic_microtemperaments#Quatracot|quatracot temperament]]. 638 factors as 2*11*29.
The '''638 equal temperament''' divides the octave into 638 equal parts of 1.881 cents each. It tempers out the minortone comma, | -16 35 -17 >, in the 5-limit, 4375/4374 in the 7-limit, 43923/43904, 3025/3024, 9801/9800 in the 11-limit, and 625/624, 729/728, 1575/1573, 2200/2197 and 4225/4224 in the 13-limit. It supplies the optimal patent val for [[Ragismic_microtemperaments#Quatracot|quatracot temperament]]. 638 factors as 2*11*29.


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 22:00, 4 October 2022

← 637edo 638edo 639edo →
Prime factorization 2 × 11 × 29
Step size 1.88088 ¢ 
Fifth 373\638 (701.567 ¢)
Semitones (A1:m2) 59:49 (111 ¢ : 92.16 ¢)
Consistency limit 11
Distinct consistency limit 11

The 638 equal temperament divides the octave into 638 equal parts of 1.881 cents each. It tempers out the minortone comma, | -16 35 -17 >, in the 5-limit, 4375/4374 in the 7-limit, 43923/43904, 3025/3024, 9801/9800 in the 11-limit, and 625/624, 729/728, 1575/1573, 2200/2197 and 4225/4224 in the 13-limit. It supplies the optimal patent val for quatracot temperament. 638 factors as 2*11*29.