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List of superparticular intervals: Difference between revisions

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Split the superparticulars table into subsections based on prime limit.
Formatting (to align the columns across tables)
Line 6: Line 6:
== List of superparticular intervals ==
== List of superparticular intervals ==
=== 2-limit ===
=== 2-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
|-
|-
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! 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>
! 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>
|-
|-
| [[2/1]]
| [[2/1]]
Line 22: Line 22:
|
|
|}
|}
=== 3-limit ===
=== 3-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[3/2]]
| [[3/2]]
Line 52: Line 53:
| S3
| S3
|}
|}
=== 5-limit ===
=== 5-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[5/4]]
| [[5/4]]
Line 103: Line 105:
| S9
| S9
|}
|}
=== 7-limit ===
=== 7-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[7/6]]
| [[7/6]]
Line 203: Line 206:
|
|
|}
|}
=== 11-limit ===
=== 11-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[11/10]]
| [[11/10]]
Line 331: Line 335:
| S99
| S99
|}
|}
=== 13-limit ===
=== 13-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[13/12]]
| [[13/12]]
Line 536: Line 541:
| S351
| S351
|}
|}
=== 17-limit ===
=== 17-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[17/16]]
| [[17/16]]
Line 825: Line 831:
|
|
|}
|}
=== 19-limit ===
=== 19-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[19/18]]
| [[19/18]]
Line 1,247: Line 1,254:
|
|
|}
|}
=== 23-limit ===
=== 23-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[23/22]]
| [[23/22]]
Line 1,774: Line 1,782:
|  
|  
|}
|}
=== 29-limit ===
=== 29-limit ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[29/28]]
| [[29/28]]
Line 2,511: Line 2,520:
| S13311
| S13311
|}
|}
=== 31-limit (incomplete) ===
=== 31-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[31/30]]
| [[31/30]]
Line 2,590: Line 2,600:
| S63
| S63
|}
|}
=== 37-limit (incomplete) ===
=== 37-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[37/36]]
| [[37/36]]
Line 2,648: Line 2,659:
|  
|  
|}
|}
=== 41-limit (incomplete) ===
=== 41-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[41/40]]
| [[41/40]]
Line 2,699: Line 2,711:
|  
|  
|}
|}
=== 43-limit (incomplete) ===
=== 43-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[43/42]]
| [[43/42]]
Line 2,764: Line 2,777:
| S44
| S44
|}
|}
=== 47-limit (incomplete) ===
=== 47-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[47/46]]
| [[47/46]]
Line 2,822: Line 2,836:
| S48
| S48
|}
|}
=== 53-limit (incomplete) ===
=== 53-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[53/52]]
| [[53/52]]
Line 2,859: Line 2,874:
|
|
|}
|}
=== 59-limit (incomplete) ===
=== 59-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[59/58]]
| [[59/58]]
Line 2,889: Line 2,905:
| S59
| S59
|}
|}
=== 6-limit (incomplete) ===
 
{| class="wikitable center-6"
=== 61-limit (incomplete) ===
! [[Ratio]]
{| class="wikitable center-6" style="width:100%"
! [[Cent]]s
! width="10%" | [[Ratio]]
! Factorization
! width="10%" | [[Cent]]s
! [[Monzo]]
! width="15%" | Factorization
! Name(s)
! width="15%" | [[Monzo]]
! Meta<ref name="ssp"/>
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[61/60]]
| [[61/60]]
Line 2,933: Line 2,950:
| S61
| S61
|}
|}
=== 67-limit (incomplete) ===
=== 67-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[67/66]]
| [[67/66]]
Line 2,956: Line 2,974:
|
|
|}
|}
=== 71-limit (incomplete) ===
=== 71-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[71/70]]
| [[71/70]]
Line 2,979: Line 2,998:
|
|
|}
|}
=== 73-limit (incomplete) ===
=== 73-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[73/72]]
| [[73/72]]
Line 3,002: Line 3,022:
|
|
|}
|}
=== 79-limit (incomplete) ===
=== 79-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[79/78]]
| [[79/78]]
Line 3,025: Line 3,046:
|
|
|}
|}
=== 83-limit (incomplete) ===
=== 83-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[83/82]]
| [[83/82]]
Line 3,048: Line 3,070:
|
|
|}
|}
=== 89-limit (incomplete) ===
=== 89-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[89/88]]
| [[89/88]]
Line 3,071: Line 3,094:
|
|
|}
|}
=== 97-limit (incomplete) ===
=== 97-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[97/96]]
| [[97/96]]
Line 3,094: Line 3,118:
|
|
|}
|}
=== 101-limit (incomplete) ===
=== 101-limit (incomplete) ===
{| class="wikitable center-6"
{| class="wikitable center-6" style="width:100%"
! [[Ratio]]
! width="10%" | [[Ratio]]
! [[Cent]]s
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
! Meta<ref name="ssp"/>
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[101/100]]
| [[101/100]]
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"