764edo: Difference between revisions
→Regular temperament properties: no-19 23-limit data |
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo| 1211 -764 }} | | {{monzo| 1211 -764 }} | ||
| {{mapping| 764 1211 }} | | {{mapping| 764 1211 }} | ||
| | | −0.0439 | ||
| 0.0439 | | 0.0439 | ||
| 2.80 | | 2.80 | ||
| Line 34: | Line 26: | ||
| {{monzo| 38 -2 -15 }}, {{monzo| 25 -48 22 }} | | {{monzo| 38 -2 -15 }}, {{monzo| 25 -48 22 }} | ||
| {{mapping| 764 1211 1774 }} | | {{mapping| 764 1211 1774 }} | ||
| | | −0.0399 | ||
| 0.0363 | | 0.0363 | ||
| 2.31 | | 2.31 | ||
| Line 41: | Line 33: | ||
| 4375/4374, 52734375/52706752, {{monzo| 31 -6 -2 -6 }} | | 4375/4374, 52734375/52706752, {{monzo| 31 -6 -2 -6 }} | ||
| {{mapping| 764 1211 1774 2145 }} | | {{mapping| 764 1211 1774 2145 }} | ||
| | | −0.0552 | ||
| 0.0412 | | 0.0412 | ||
| 2.62 | | 2.62 | ||
| Line 48: | Line 40: | ||
| 3025/3024, 4375/4374, 131072/130977, 35156250/35153041 | | 3025/3024, 4375/4374, 131072/130977, 35156250/35153041 | ||
| {{mapping| 764 1211 1774 2145 2643 }} | | {{mapping| 764 1211 1774 2145 2643 }} | ||
| | | −0.0436 | ||
| 0.0435 | | 0.0435 | ||
| 2.77 | | 2.77 | ||
| Line 55: | Line 47: | ||
| 1716/1715, 2080/2079, 3025/3024, 4096/4095, 10549994/10546875 | | 1716/1715, 2080/2079, 3025/3024, 4096/4095, 10549994/10546875 | ||
| {{mapping| 764 1211 1774 2145 2643 2827 }} | | {{mapping| 764 1211 1774 2145 2643 2827 }} | ||
| | | −0.0267 | ||
| 0.0548 | | 0.0548 | ||
| 3.49 | | 3.49 | ||
| Line 62: | Line 54: | ||
| 1716/1715, 2080/2079, 2431/2430, 2500/2499, 4096/4095, 4914/4913 | | 1716/1715, 2080/2079, 2431/2430, 2500/2499, 4096/4095, 4914/4913 | ||
| {{mapping| 764 1211 1774 2145 2643 2827 3123 }} | | {{mapping| 764 1211 1774 2145 2643 2827 3123 }} | ||
| | | −0.0327 | ||
| 0.0528 | | 0.0528 | ||
| 3.36 | | 3.36 | ||
| Line 69: | Line 61: | ||
| 1716/1715, 2080/2079, 2024/2023, 2431/2430, 2500/2499, 3520/3519, 4096/4095 | | 1716/1715, 2080/2079, 2024/2023, 2431/2430, 2500/2499, 3520/3519, 4096/4095 | ||
| {{mapping| 764 1211 1774 2145 2643 2827 3123 3456 }} | | {{mapping| 764 1211 1774 2145 2643 2827 3123 3456 }} | ||
| | | −0.0286 | ||
| 0.0506 | | 0.0506 | ||
| 3.22 | | 3.22 | ||
{{comma basis end}} | |||
* 764et has lower absolute errors than any previous equal temperaments in the 13- and 17-limit. In the 13-limit it beats [[684edo|684]] and is only bettered by [[935edo|935]]. In the 17-limit it beats [[742edo|742]] and is only bettered by [[814edo|814]]. | * 764et has lower absolute errors than any previous equal temperaments in the 13- and 17-limit. In the 13-limit it beats [[684edo|684]] and is only bettered by [[935edo|935]]. In the 17-limit it beats [[742edo|742]] and is only bettered by [[814edo|814]]. | ||
* It is best at the no-19 23-limit, where it has a lower relative error than any previous equal temperaments, past [[494edo|494]] and before [[1578edo|1578]]. | * It is best at the no-19 23-limit, where it has a lower relative error than any previous equal temperaments, past [[494edo|494]] and before [[1578edo|1578]]. | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 104: | Line 90: | ||
|- | |- | ||
| 2 | | 2 | ||
| 277\764<br>(105\764) | | 277\764<br />(105\764) | ||
| 435.08<br>(164.92) | | 435.08<br />(164.92) | ||
| 9/7<br>(11/10) | | 9/7<br />(11/10) | ||
| [[Semisupermajor]] | | [[Semisupermajor]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
[[Category:Abigail]] | [[Category:Abigail]] | ||