User:Contribution/Collection of tunings: Difference between revisions
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ style="font-size: 105%;" | | |+ style="font-size: 105%;" | Notable Local Maxima of the Riemann Zeta Function | ||
|- style="white-space: nowrap;" | |- style="white-space: nowrap;" | ||
! colspan="3" |Tuning | ! colspan="3" |Tuning | ||
! colspan="3" |Strength | ! colspan="3" |Strength | ||
| Line 544: | Line 427: | ||
|14 | |14 | ||
|14 | |14 | ||
|} | |||
{| class="wikitable sortable" | |||
|+ style="font-size: 105%;" | α–β–γ family | |||
|- style="white-space: nowrap;" | |||
! colspan="4" |Optimization | |||
! rowspan="2" |Equal division of a ratio | |||
|- style="white-space: nowrap;" | |||
!Proposed name | |||
!Steps per octave | |||
!Cents | |||
!Optimization method | |||
|- | |||
|[[Alpha 3/1]] | |||
|1.90739592696007 | |||
|629.130000247254 | |||
|Dave Benson | |||
|[[3edt|3ed3/1]] | |||
|- | |||
|[[Beta 3/1]] | |||
|3.14186231690763 | |||
|381.939079106782 | |||
|Dave Benson | |||
|[[5edt|5ed3/1]] | |||
|- | |||
|[[Alpha 2/1]] | |||
|5.00991270509077 | |||
|239.525131601721 | |||
|Dave Benson | |||
|[[5edo|5ed2/1]] | |||
|- | |||
|[[Gamma 3/1]] | |||
|5.04255621376059 | |||
|237.974540913462 | |||
|Dave Benson | |||
|[[8edt|8ed3/1]] | |||
|- | |||
|[[Beta 2/1]] | |||
|6.99104980248710 | |||
|171.648040552235 | |||
|Dave Benson | |||
|[[7edo|7ed2/1]] | |||
|- | |||
|[[Alpha 5/3]] | |||
|9.50583353877785 | |||
|126.238272015258 | |||
|Dave Benson | |||
|[[7ed5/3]] | |||
|- | |||
|[[Gamma 2/1]] | |||
|11.9978480914311 | |||
|100.017935787756 | |||
|Dave Benson | |||
|[[12edo|12ed2/1]] | |||
|- | |||
|[[Beta 5/3]] | |||
|12.2053823008782 | |||
|98.3172808862904 | |||
|Dave Benson | |||
|[[9ed5/3]] | |||
|- | |||
|[[Carlos Alpha|Alpha 3/2]] | |||
|15.3915238996928 | |||
|77.9649895501219 | |||
|Dave Benson | |||
|[[9edf|9ed3/2]] | |||
|- | |||
|[[Carlos Beta|Beta 3/2]] | |||
|18.7990736394111 | |||
|63.8329325698408 | |||
|Dave Benson | |||
|[[11edf|11ed3/2]] | |||
|- | |||
|[[Gamma 5/3]] | |||
|21.7094399215509 | |||
|55.2754932571412 | |||
|Dave Benson | |||
|[[16ed5/3]] | |||
|- | |||
|[[Alpha 7/5]] | |||
|22.6653911133366 | |||
|52.9441558718088 | |||
|Dave Benson | |||
|[[11ed7/5]] | |||
|- | |||
|[[Beta 7/5]] | |||
|26.7758951088566 | |||
|44.8164289231577 | |||
|Dave Benson | |||
|[[13ed7/5]] | |||
|- | |||
|[[Alpha 4/3]] | |||
|31.3266790320926 | |||
|38.3060074376432 | |||
|Dave Benson | |||
|[[13ed4/3]] | |||
|- | |||
|[[Carlos Gamma|Gamma 3/2]] | |||
|34.1894540921914 | |||
|35.0985422804417 | |||
|Dave Benson | |||
|[[20edf|20ed3/2]] | |||
|- | |||
|[[Beta 4/3]] | |||
|36.1372975038827 | |||
|33.2066890135065 | |||
|Dave Benson | |||
|[[15ed4/3]] | |||
|- | |||
|[[Gamma 7/5]] | |||
|49.4404896216012 | |||
|24.2716042900130 | |||
|Dave Benson | |||
|[[24ed7/5]] | |||
|- | |||
|[[Gamma 4/3]] | |||
|67.4633901646646 | |||
|17.7874251067289 | |||
|Dave Benson | |||
|[[28ed4/3]] | |||
|} | |} | ||