764edo: Difference between revisions

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The ''764 equal division'' divides the octave into 764 equal parts of 1.571 cents each. It very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral division]]. In the 5-limit it tempers out the hemithirds comma, {{monzo| 38 -2 -15 }}; in the 7-limit 4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the [[optimal patent val]] for [[Ragismic_microtemperaments#Abigail|abigail temperament]] in the 11-limit.

The ''764 equal division'' divides the octave into 764 equal parts of 1.571 cents each. It is a very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral division]]. In the 5-limit it tempers out the hemithirds comma, {{monzo| 38 -2 -15 }}; in the 7-limit 4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the [[optimal patent val]] for [[Ragismic_microtemperaments#Abigail|abigail temperament]] in the 11-limit.

[[Category:Equal divisions of the octave]]

[[Category:Todo:expand]]

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-The ''764 equal division'' divides the octave into 764 equal parts of 1.571 cents each. It very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral division]]. In the 5-limit it tempers out the hemithirds comma, {{monzo| 38 -2 -15 }}; in the 7-limit  4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the [[optimal patent val]] for [[Ragismic_microtemperaments#Abigail|abigail temperament]] in the 11-limit.
+The ''764 equal division'' divides the octave into 764 equal parts of 1.571 cents each. It is a very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral division]]. In the 5-limit it tempers out the hemithirds comma, {{monzo| 38 -2 -15 }}; in the 7-limit  4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the [[optimal patent val]] for [[Ragismic_microtemperaments#Abigail|abigail temperament]] in the 11-limit.
+{{Primes in edo|764|prec=3|columns=7}}
 [[Category:Equal divisions of the octave]]
 [[Category:Todo:expand]]