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List of superparticular intervals/61-limit - Revision history
2026-06-29T09:43:05Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=List_of_superparticular_intervals/61-limit&diff=224081&oldid=prev
FloraC: Created page with "{{Breadcrumb}} == 61-limit (incomplete) == {| class="wikitable center-6" style="width:100%" ! width="10%" | Ratio ! width="10%" | Cents ! width="15%" | Factorization ! width="15%" | Monzo ! width="45%" | Name(s) ! width="5%" | Meta<ref name="ssp">Denoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See square superparticular for details.</ref> |- | 61/60 | 28.616 | 61/(2<sup>2</sup>×3×5) | 2.3.5.61 {{monzo|..."
2026-02-15T13:43:12Z
<p>Created page with "{{Breadcrumb}} == 61-limit (incomplete) == {| class="wikitable center-6" style="width:100%" ! width="10%" | <a href="/w/Ratio" class="mw-redirect" title="Ratio">Ratio</a> ! width="10%" | <a href="/w/Cent" title="Cent">Cents</a> ! width="15%" | Factorization ! width="15%" | <a href="/w/Monzo" title="Monzo">Monzo</a> ! width="45%" | Name(s) ! width="5%" | Meta<ref name="ssp">Denoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See <a href="/w/Square_superparticular" class="mw-redirect" title="Square superparticular">square superparticular</a> for details.</ref> |- | <a href="/index.php?title=61/60&action=edit&redlink=1" class="new" title="61/60 (page does not exist)">61/60</a> | 28.616 | 61/(2<sup>2</sup>×3×5) | 2.3.5.61 {{monzo|..."</p>
<p><b>New page</b></p><div>{{Breadcrumb}}<br />
<br />
== 61-limit (incomplete) ==<br />
{| class="wikitable center-6" style="width:100%"<br />
! width="10%" | [[Ratio]]<br />
! width="10%" | [[Cent]]s<br />
! width="15%" | Factorization<br />
! width="15%" | [[Monzo]]<br />
! width="45%" | Name(s)<br />
! width="5%" | Meta<ref name="ssp">Denoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See [[square superparticular]] for details.</ref><br />
|-<br />
| [[61/60]]<br />
| 28.616<br />
| 61/(2<sup>2</sup>×3×5)<br />
| 2.3.5.61 {{monzo| -2 -1 -1 1 }}<br />
| <br />
| <br />
|-<br />
| [[62/61]]<br />
| 28.151<br />
| (2×31)/61<br />
| 2.31.61 {{monzo| 1 1 -1 }}<br />
| <br />
| <br />
|-<br />
| [[122/121]]<br />
| 14.249<br />
| (2×61)/(11<sup>2</sup>)<br />
| 2.11.61 {{monzo| 1 -2 1 }}<br />
| <br />
| <br />
|-<br />
| [[123/122]]<br />
| 14.133<br />
| (3×41)/(2×61)<br />
| 2.3.41.61 {{monzo| -1 1 1 -1 }}<br />
| <br />
| <br />
|-<br />
| [[183/182]]<br />
| 9.4862<br />
| (3×61)/(2×7×13)<br />
| 2.3.7.13.61 {{monzo| -1 1 -1 -1 1 }}<br />
| <br />
| <br />
|-<br />
| [[184/183]]<br />
| 9.4345<br />
| (2<sup>3</sup>×23)/(3×61)<br />
| 2.3.23.61 {{monzo| 3 -1 1 -1 }}<br />
| <br />
| <br />
|-<br />
| [[244/243]]<br />
| 7.1098<br />
| (2<sup>2</sup>×61)/3<sup>5</sup><br />
| 2.3.61 {{monzo| 2 -5 1 }}<br />
| <br />
| <br />
|-<br />
| [[245/244]]<br />
| 7.0807<br />
| (5×7<sup>2</sup>)/(2<sup>2</sup>×61)<br />
| 2.5.7.61 {{monzo| -2 1 2 -1 }}<br />
| <br />
| <br />
|-<br />
| [[305/304]]<br />
| 5.6855<br />
| (5×61)/(2<sup>4</sup>×19)<br />
| 2.5.19.61 {{monzo| -4 1 -1 1 }}<br />
| <br />
| <br />
|-<br />
| [[306/305]]<br />
| 5.6669<br />
| (2×3<sup>2</sup>×17)/(5×61)<br />
| 2.3.5.17.61 {{monzo| 1 2 -1 1 -1 }}<br />
| <br />
| <br />
|-<br />
| [[672/671]]<br />
| 2.5782<br />
| (2<sup>5</sup>×3×7)/(11×61)<br />
| 2.3.7.11.61 {{monzo| 5 1 1 -1 -1 }}<br />
| <br />
| <br />
|-<br />
| [[1404/1403]]<br />
| 1.2335<br />
| (2<sup>2</sup>×3<sup>3</sup>×13)/(23×61)<br />
| 2.3.13.23.61 {{monzo| 2 3 1 -1 -1 }}<br />
| <br />
| <br />
|-<br />
| [[3721/3720]]<br />
| 0.46532<br />
| 61<sup>2</sup>/(2<sup>3</sup>×3×5×31)<br />
| 2.3.5.31.61 {{monzo| -3 -1 -1 -1 2 }}<br />
| <br />
| S61<br />
|}<br />
<br />
== Notes ==<br />
<references/><br />
<br />
[[Category:Lists of intervals]]<br />
[[Category:Superparticular ratios|*]]</div>
FloraC