User:Lériendil/Square and triangle superparticulars by prime subgroup
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⟩ |