Rastmic rank three clan

This is a miscellaneous collection of rank-3 rastmic temperaments, tempering out the rastma, 243/242. These temperaments divide the fifth in half and use it as an 11/9 neutral third.

Temperaments not listed include:

• Urania, {81/80, 121/120} → Didymus rank three family #Urania
• Mandos, {176/175, 243/242} → Valinorismic temperaments #Mandos
• Spectacle, {225/224, 243/242} → Marvel family #Spectacle
• Mirage, {225/224, 243/242, 385/384} → Marvel family #Mirage
• Jove, {243/242, 441/440} → Breed family #Jove
• Hagrid, {243/242, 9801/9800} → Cataharry family #Hagrid

Mirwomo

The mirwomo temperament tunes ~36/35 to exactly half of an apotome ~2187/2048, and tunes ~128/105 to exactly half of a perfect fifth ~3/2.

7-limit

Subgroup: 2.3.5.7

Comma list: 33075/32768

Mapping: [⟨1 1 0 6], ⟨0 2 0 -3], ⟨0 0 1 -1]]

11-limit

Subgroup: 2.3.5.7.11

Comma list: 243/242, 385/384

Mapping: [⟨1 1 0 6 2], ⟨0 2 0 -3 5], ⟨0 0 1 -1 0]]

Parahemif

Subgroup: 2.3.5.7.11

Comma list: 243/242, 896/891

Mapping: [⟨1 1 0 -1 2], ⟨0 2 0 13 5], ⟨0 0 1 0 0]]

Badness: 1.34547 × 10^-3

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 144/143, 243/242, 364/363

Mapping: [⟨1 1 0 -1 2 4], ⟨0 2 0 13 5 -1], ⟨0 0 1 0 0 0]]

Vals: Template:Val list

Badness: 1.19366 × 10^-3