User:Overthink/Important rank-1 exotemperaments

This page lists important exotemperaments in subgroups. Equal divisions in parentheses are arguably not exotemperaments, but may still be used as structural archetypes rather than actual temperaments. Here we consider 5-limit 12et and ETs with similar accuracy as being in parentheses. Ones that are especially useful are in bold. Ones less likely to be useful as an archetype are marked with an asterisk.

3-limit: 2*, 3*, (5, 7)

5-limit: 3, 4, 5, 7, (12)

7-limit: 4, 5, 7, 10, 12, 14c*, 15, 17c, (19, 22)

11-limit: 7, 10, 12, 14c, 15, 17c, 19*, (22)

13-limit: 7, 10, 12f, 14c*, 15*, 17c, 19, 22*, 22f*, (26, 29, 31)

2.3.7: 5, 7, 12

2.3.7.11: 5, 7, 12, (17, 22)

2.3.7.11.13: 5, 7, 12f, (17)

2.5.7: 6, (19*)

2.5.7.11: 6

2.5.7.11.13: 6

2.3.5.11: 7, 15, (22, 24)

2.3.5.11.13: 7, (24)

2.3.11: 7, 10

2.3.11.13: 7, 10

3.5.7: EDTs 4, 9