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

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| [[9/8]]
| [[9/8]]
| {{monzo| -3 2 }}
| {{monzo| -3 2 }}
|}
== 3-prime subgroups (2.3.p) ==
{| class="wikitable center-1 center-2"
|-
! rowspan="2" | Square-particular
! rowspan="2" | Subgroup
! colspan="2" | Comma
|-
! Ratio
! Smonzo
|-
| S4
| [[5-limit|2.3.5]]
| [[16/15]]
| {{monzo| 4 -1 -1 }}
|-
| S5
| [[5-limit|2.3.5]]
| [[25/24]]
| {{monzo| -3 -1 2 }}
|-
| S9
| [[5-limit|2.3.5]]
| [[81/80]]
| {{monzo| -4 4 -1 }}
|-
| S7
| [[2.3.7 subgroup|2.3.7]]
| [[49/48]]
| {{monzo| -4 -1 2 }}
|-
| S8
| [[2.3.7 subgroup|2.3.7]]
| [[64/63]]
| {{monzo| 6 -2 -1 }}
|-
| S17
| 2.3.17
| [[289/288]]
| {{monzo| -5 -2 2 }}
|}
|}

Revision as of 14:04, 25 July 2024

2-prime subgroup (2.3)

Square-particular Subgroup Comma
Ratio Smonzo
S2 2.3 4/3 [2 -1⟩
S3 2.3 9/8 [-3 2⟩

3-prime subgroups (2.3.p)

Square-particular Subgroup Comma
Ratio Smonzo
S4 2.3.5 16/15 [4 -1 -1⟩
S5 2.3.5 25/24 [-3 -1 2⟩
S9 2.3.5 81/80 [-4 4 -1⟩
S7 2.3.7 49/48 [-4 -1 2⟩
S8 2.3.7 64/63 [6 -2 -1⟩
S17 2.3.17 289/288 [-5 -2 2⟩
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