414edo: Difference between revisions
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'''414EDO''' is the [[EDO|equal division of the octave]] into 414 parts of 2.89855 [[cent]]s each. It is closely related to [[207edo]], but the patent vals differ on the mapping for 5. It is consistent to the 17-limit, tempering out 69198046875/68719476736 (submajor comma) and 7629394531250/7625597484987 (ennealimmal comma) in the 5-limit; 2401/2400, 4375/4374, and 138427734375/137438953472 in the 7-limit; 3025/3024, 9801/9800, 41503/41472, and 1265625/1261568 in the 11-limit; 625/624, 729/728, 1575/1573, 2200/2197, and 26411/26364 in the 13-limit; 833/832, 1089/1088, 1225/1224, 1275/1274, and 1701/1700 in the 17-limit. It | '''414EDO''' is the [[EDO|equal division of the octave]] into 414 parts of 2.89855 [[cent]]s each. It is closely related to [[207edo]], but the patent vals differ on the mapping for 5. It is consistent to the 17-limit, tempering out 69198046875/68719476736 (submajor comma) and 7629394531250/7625597484987 (ennealimmal comma) in the 5-limit; 2401/2400, 4375/4374, and 138427734375/137438953472 in the 7-limit; 3025/3024, 9801/9800, 41503/41472, and 1265625/1261568 in the 11-limit; 625/624, 729/728, 1575/1573, 2200/2197, and 26411/26364 in the 13-limit; 833/832, 1089/1088, 1225/1224, 1275/1274, and 1701/1700 in the 17-limit. It [[support]]s the 11-limit [[Ragismic microtemperaments|hemiennealimmal]] and the 13-limit [[Ragismic microtemperaments|quatracot]]. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
Revision as of 18:13, 25 January 2022
414EDO is the equal division of the octave into 414 parts of 2.89855 cents each. It is closely related to 207edo, but the patent vals differ on the mapping for 5. It is consistent to the 17-limit, tempering out 69198046875/68719476736 (submajor comma) and 7629394531250/7625597484987 (ennealimmal comma) in the 5-limit; 2401/2400, 4375/4374, and 138427734375/137438953472 in the 7-limit; 3025/3024, 9801/9800, 41503/41472, and 1265625/1261568 in the 11-limit; 625/624, 729/728, 1575/1573, 2200/2197, and 26411/26364 in the 13-limit; 833/832, 1089/1088, 1225/1224, 1275/1274, and 1701/1700 in the 17-limit. It supports the 11-limit hemiennealimmal and the 13-limit quatracot.