525edo: Difference between revisions
+23-limit data |
ArrowHead294 (talk | contribs) mNo edit summary |
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 67: | Line 59: | ||
| 729/728, 1089/1088, 1275/1274, 1716/1715, 2025/2023, 2200/2197 | | 729/728, 1089/1088, 1275/1274, 1716/1715, 2025/2023, 2200/2197 | ||
| {{mapping| 525 832 1219 1474 1816 1943 2146 }} | | {{mapping| 525 832 1219 1474 1816 1943 2146 }} | ||
| | | −0.0040 | ||
| 0.1091 | | 0.1091 | ||
| 4.77 | | 4.77 | ||
| Line 81: | Line 73: | ||
| 729/728, 1089/1088, 1197/1196, 1275/1274, 1496/1495, 1716/1715, 2024/2023, 2025/2023 | | 729/728, 1089/1088, 1197/1196, 1275/1274, 1496/1495, 1716/1715, 2024/2023, 2025/2023 | ||
| {{mapping| 525 832 1219 1474 1816 1943 2146 2230 2375 }} | | {{mapping| 525 832 1219 1474 1816 1943 2146 2230 2375 }} | ||
| | | −0.0007 | ||
| 0.1029 | | 0.1029 | ||
| 4.50 | | 4.50 | ||
{{comma basis end}} | |||
* 525et has lower absolute errors than any previous equal temperaments in the 19- and 23-limit. In the 19-limit it beats [[460edo|460]] and is bettered by [[566edo|566g]]. In the 23-limit it beats [[422edo|422]] and is bettered by [[581edo|581]]. | * 525et has lower absolute errors than any previous equal temperaments in the 19- and 23-limit. In the 19-limit it beats [[460edo|460]] and is bettered by [[566edo|566g]]. In the 23-limit it beats [[422edo|422]] and is bettered by [[581edo|581]]. | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 103: | Line 89: | ||
|- | |- | ||
| 3 | | 3 | ||
| 218\525<br>(43\525) | | 218\525<br />(43\525) | ||
| 498.29<br>(98.29) | | 498.29<br />(98.29) | ||
| 4/3<br>(18/17) | | 4/3<br />(18/17) | ||
| [[Term]] | | [[Term]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 109\525<br>(66\525) | | 109\525<br />(66\525) | ||
| 249.14<br>(150.86) | | 249.14<br />(150.86) | ||
| 15/13<br>(12/11) | | 15/13<br />(12/11) | ||
| [[Hemiterm]] (525f) | | [[Hemiterm]] (525f) | ||
|- | |- | ||
| 7 | | 7 | ||
| 218\525<br>(7\525) | | 218\525<br />(7\525) | ||
| 498.29<br>(16.00) | | 498.29<br />(16.00) | ||
| 4/3<br>(99/98) | | 4/3<br />(99/98) | ||
| [[Septant]] | | [[Septant]] | ||
|- | |- | ||
| 21 | | 21 | ||
| 256\525<br>(6\525) | | 256\525<br />(6\525) | ||
| 585.14<br>(13.71) | | 585.14<br />(13.71) | ||
| 91875/65536<br>(126/125) | | 91875/65536<br />(126/125) | ||
| [[Akjayland]] | | [[Akjayland]] | ||
|- | |- | ||
| 21 | | 21 | ||
| 122\525<br>(22\525) | | 122\525<br />(22\525) | ||
| 278.85<br>(50.29) | | 278.85<br />(50.29) | ||
| 168/143<br>(?) | | 168/143<br />(?) | ||
| [[Vasca]] | | [[Vasca]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
[[Category:Akjayland]] | [[Category:Akjayland]] | ||