52edt: Difference between revisions

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It is something of a curiosity as it really needs to be considered as a 29-limit no-twos system. While not exceptionally accurate, it gets the entire no-twos 29-limit to within 18 cents. It is distinctly flat, in the sense that 5, 7, 11, 13, 17, 19, 23 and 29 are all flat, so using something other than pure-threes tuning might be advisable. It is contorted in the 7-limit, so that it tempers out the same commas as [[~~13edt|~~13edt]]. Other commas it tempers out includes 121/119, 209/207, 247/245, 275/273, 299/297, 325/323, 345/343, 363/361, 377/375, 437/435, 495/493, 627/625, 665/663, 667/665, 847/845, 1127/1125, 1311/1309 and 1617/1615. It is the eleventh [[~~The_Riemann_Zeta_Function_and_Tuning~~#Removing primes|no-twos zeta peak edt]].

It is something of a curiosity as it really needs to be considered as a 29-limit no-twos system. While not exceptionally accurate, it gets the entire no-twos 29-limit to within 18 cents. It is distinctly flat, in the sense that 5, 7, 11, 13, 17, 19, 23 and 29 are all flat, so using something other than pure-threes tuning might be advisable. It is contorted in the 7-limit, so that it tempers out the same commas as [[13edt]]. Other commas it tempers out includes 121/119, 209/207, 247/245, 275/273, 299/297, 325/323, 345/343, 363/361, 377/375, 437/435, 495/493, 627/625, 665/663, 667/665, 847/845, 1127/1125, 1311/1309 and 1617/1615. It is the eleventh [[the Riemann zeta function and tuning#Removing primes|no-twos zeta peak edt]].

== Harmonics ==

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 {{ED intro}}
-It is something of a curiosity as it really needs to be considered as a 29-limit no-twos system. While not exceptionally accurate, it gets the entire no-twos 29-limit to within 18 cents. It is distinctly flat, in the sense that 5, 7, 11, 13, 17, 19, 23 and 29 are all flat, so using something other than pure-threes tuning might be advisable. It is contorted in the 7-limit, so that it tempers out the same commas as [[13edt|13edt]]. Other commas it tempers out includes 121/119, 209/207, 247/245, 275/273, 299/297, 325/323, 345/343, 363/361, 377/375, 437/435, 495/493, 627/625, 665/663, 667/665, 847/845, 1127/1125, 1311/1309 and 1617/1615. It is the eleventh [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|no-twos zeta peak edt]].
+It is something of a curiosity as it really needs to be considered as a 29-limit no-twos system. While not exceptionally accurate, it gets the entire no-twos 29-limit to within 18 cents. It is distinctly flat, in the sense that 5, 7, 11, 13, 17, 19, 23 and 29 are all flat, so using something other than pure-threes tuning might be advisable. It is contorted in the 7-limit, so that it tempers out the same commas as [[13edt]]. Other commas it tempers out includes 121/119, 209/207, 247/245, 275/273, 299/297, 325/323, 345/343, 363/361, 377/375, 437/435, 495/493, 627/625, 665/663, 667/665, 847/845, 1127/1125, 1311/1309 and 1617/1615. It is the eleventh [[the Riemann zeta function and tuning#Removing primes|no-twos zeta peak edt]].
 == Harmonics ==