The Riemann zeta function and tuning: Difference between revisions
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{| class="wikitable" style="text-align: center; margin: auto auto auto auto;" | {| class="wikitable" style="text-align: center; margin: auto auto auto auto;" | ||
|+ style="font-size: 105%;" | Zeta record EDOs ≤1000 | |+ style="font-size: 105%;" | Zeta record EDOs ≤1000 | ||
|- | |- | ||
! colspan="2" | EDO | ! colspan="2" | EDO | ||
{{EDOs|{{!}} 1 {{!!}} 2 {{!!}} 3 {{!!}} 4 {{!!}} 5 {{!!}} 7 {{!!}} 10 {{!!}} 12 {{!!}} 19 {{!!}} 22 {{!!}} 27 {{!!}} 31 {{!!}} 41 {{!!}} 46 {{!!}} 53 {{!!}} 72 {{!!}} 87 {{!!}} 99 {{!!}} 118 {{!!}} 130 {{!!}} 152 {{!!}} 171 {{!!}} 217 {{!!}} 224 {{!!}} 270 {{!!}} 311 {{!!}} 342 {{!!}} 422 {{!!}} 441 {{!!}} 472 {{!!}} 494 {{!!}} 742 {{!!}} 764 {{!!}} 935 {{!!}} 954}} | {{EDOs|{{!}} 1 {{!!}} 2 {{!!}} 3 {{!!}} 4 {{!!}} 5 {{!!}} 7 {{!!}} 10 {{!!}} 12 {{!!}} 19 {{!!}} 22 {{!!}} 27 {{!!}} 31 {{!!}} 41 {{!!}} 46 {{!!}} 53 {{!!}} 72 {{!!}} 87 {{!!}} 99 {{!!}} 118 {{!!}} 130 {{!!}} 152 {{!!}} 171 {{!!}} 217 {{!!}} 224 {{!!}} 270 {{!!}} 311 {{!!}} 342 {{!!}} 422 {{!!}} 441 {{!!}} 472 {{!!}} 494 {{!!}} 742 {{!!}} 764 {{!!}} 935 {{!!}} 954}} | ||
|- | |- | ||
! rowspan="2" | Zeta peak !! Detuned<br />octaves | ! rowspan="2" | Zeta<br />peak !! Detuned<br />octaves | ||
<!-- EDOs for reference: | <!-- EDOs for reference: | ||
| 1 || 2 || 3 || 4 || 5 || 7 || 10 || 12 || 19 || 22 || 27 || 31 || 41 || 46 || 53 || 72 || 87 || 99 || 118 || 130 || 152 || 171 || 217 || 224 || 270 || 311 || 342 || 422 || 441 || 472 || 494 || 742 || 764 || 935 || 954 | | 1 || 2 || 3 || 4 || 5 || 7 || 10 || 12 || 19 || 22 || 27 || 31 || 41 || 46 || 53 || 72 || 87 || 99 || 118 || 130 || 152 || 171 || 217 || 224 || 270 || 311 || 342 || 422 || 441 || 472 || 494 || 742 || 764 || 935 || 954 | ||
--> | --> | ||
| ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || || ★ || ★ || || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || || ★ || ★ || ★ || || ★ || ★ || ★ || ★ || ★ | | ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || || ★ || ★ || || ★ || ★ || ★ || ★ || ★ || ★ || ★ || ★ || || ★ || ★ || ★ || || ★ || ★ || ★ || ★ || ★ | ||
|- | |- | ||
! Pure<br />octaves | ! Pure<br />octaves | ||
| ★ || ★ || ★ || || ★ || ★ || ★ || ★ || ★ || ★ || || ★ || ★ || || ★ || || ★ || || ★ || ★ || || ★ || || ★ || ★ || ★ || || || || ★ || ★ || || || || | | ★ || ★ || ★ || || ★ || ★ || ★ || ★ || ★ || ★ || || ★ || ★ || || ★ || || ★ || || ★ || ★ || || ★ || || ★ || ★ || ★ || || || || ★ || ★ || || || || | ||