User:Lériendil/Square and triangle superparticulars by prime subgroup: Difference between revisions
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{| class="wikitable center-1 center-2" | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
! rowspan="2" | | ! rowspan="2" | Square-particular | ||
! rowspan="2" | Subgroup | ! rowspan="2" | Subgroup | ||
! colspan="2" | Comma | ! colspan="2" | Comma | ||
| Line 9: | Line 9: | ||
! Ratio | ! Ratio | ||
! Smonzo | ! Smonzo | ||
|- | |- | ||
| S2 | | S2 | ||
| Line 24: | Line 19: | ||
| [[9/8]] | | [[9/8]] | ||
| {{monzo| -3 2 }} | | {{monzo| -3 2 }} | ||
|} | |||
{| class="wikitable center-1 center-2" | |||
|- | |||
! rowspan="2" | Triangle-particular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
|- | |||
! Ratio | |||
! Smonzo | |||
|- | |||
| T2 | |||
| [[3-limit|2.3]] | |||
| [[3/2]] | |||
| {{monzo| -1 1 }} | |||
|} | |} | ||
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{| class="wikitable center-1 center-2" | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
! rowspan="2" | | ! rowspan="2" | Square-particular | ||
! rowspan="2" | Subgroup | ! rowspan="2" | Subgroup | ||
! colspan="2" | Comma | ! colspan="2" | Comma | ||
| Line 66: | Line 76: | ||
| [[289/288]] | | [[289/288]] | ||
| {{monzo| -5 -2 2 }} | | {{monzo| -5 -2 2 }} | ||
|} | |||
{| class="wikitable center-1 center-2" | |||
|- | |||
! rowspan="2" | Triangle-particular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
|- | |||
! Ratio | |||
! Smonzo | |||
|- | |- | ||
| T3 | | T3 | ||
Revision as of 14:30, 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⟩ |
| Triangle-particular | Subgroup | Comma | |
|---|---|---|---|
| Ratio | Smonzo | ||
| T2 | 2.3 | 3/2 | [-1 1⟩ |
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⟩ |
| Triangle-particular | Subgroup | Comma | |
|---|---|---|---|
| Ratio | Smonzo | ||
| T3 | 2.3.5 | 6/5 | [1 1 -1⟩ |
| T4 | 2.3.5 | 10/9 | [1 -2 1⟩ |
| T7 | 2.3.7 | 28/27 | [2 -3 1⟩ |