User:Lériendil/Square and triangle superparticulars by prime subgroup: Difference between revisions

colored the rows according to synesthesia lmao
Line 10: Line 10:
== 2- and 3-prime subgroups (2.3 and 2.3.p) ==
== 2- and 3-prime subgroups (2.3 and 2.3.p) ==
Note that the following lists are ''complete'' and the insertion of higher primes will add no new inclusions to them.
Note that the following lists are ''complete'' and the insertion of higher primes will add no new inclusions to them.
{| class="wikitable"
! integer
! prime limit
! factorization
! monzo
|- style="background-color: #BFEFBF;"
|'''2'''||2||2||{{Monzo| 1 }}
|- style="background-color: lavender;"
|'''3'''||3||3||{{Monzo| 0 1 }}
|}


=== 2-prime subgroup (2.3) ===
=== 2-prime subgroup (2.3) ===
Line 32: Line 21:
! Ratio
! Ratio
! Smonzo
! Smonzo
|-
|- style="background-color: #BFD7FF;"
| S2
| S2
| [[3-limit|2.3]]
| [[3-limit|2.3]]
| [[4/3]]
| [[4/3]]
| {{monzo| 2 -1 }}
| {{monzo| 2 -1 }}
|-
|- style="background-color: #BFD7FF;"
| S3
| S3
| [[3-limit|2.3]]
| [[3-limit|2.3]]
Line 57: Line 46:
! Ratio
! Ratio
! Smonzo
! Smonzo
|-
|- style="background-color: #BFD7FF;"
| T2
| T2
| [[3-limit|2.3]]
| [[3-limit|2.3]]
Line 78: Line 67:
! Ratio
! Ratio
! Smonzo
! Smonzo
|-
|- style="background-color: #FFBFEF;"
| S4
| S4
| [[5-limit|L5]]
| [[5-limit|L5]]
| [[16/15]]
| [[16/15]]
| {{monzo| 4 -1 -1 }}
| {{monzo| 4 -1 -1 }}
|-
|- style="background-color: #FFBFEF;"
| S5
| S5
| [[5-limit|L5]]
| [[5-limit|L5]]
| [[25/24]]
| [[25/24]]
| {{monzo| -3 -1 2 }}
| {{monzo| -3 -1 2 }}
|-
|- style="background-color: #FFBFEF;"
| S9
| S9
| [[5-limit|L5]]
| [[5-limit|L5]]
| [[81/80]]
| [[81/80]]
| {{monzo| -4 4 -1 }}
| {{monzo| -4 4 -1 }}
|-
|- style="background-color: #C7BFDF;"
| S7
| S7
| [[2.3.7 subgroup|2.3.7]]
| [[2.3.7 subgroup|2.3.7]]
| [[49/48]]
| [[49/48]]
| {{monzo| -4 -1 2 }}
| {{monzo| -4 -1 2 }}
|-
|- style="background-color: #C7BFDF;"
| S8
| S8
| [[2.3.7 subgroup|2.3.7]]
| [[2.3.7 subgroup|2.3.7]]
| [[64/63]]
| [[64/63]]
| {{monzo| 6 -2 -1 }}
| {{monzo| 6 -2 -1 }}
|-
|- style="background-color: #F7F7BF;"
| S17
| S17
| 2.3.17
| 2.3.17
Line 123: Line 112:
! Ratio
! Ratio
! Smonzo
! Smonzo
|-
|- style="background-color: #FFBFEF;"
| T3
| T3
| [[5-limit|L5]]
| [[5-limit|L5]]
Line 132: Line 121:
| [[135/128]]
| [[135/128]]
| {{monzo| -7 3 1 }}
| {{monzo| -7 3 1 }}
|-
|- style="background-color: #FFBFEF;"
| T4
| T4
| [[5-limit|L5]]
| [[5-limit|L5]]
Line 141: Line 130:
| [[128/125]]
| [[128/125]]
| {{monzo| 7 -3 }}
| {{monzo| 7 -3 }}
|-
|- style="background-color: #C7BFDF;"
| T7
| T7
| [[2.3.7 subgroup|2.3.7]]
| [[2.3.7 subgroup|2.3.7]]