Magic

family name: magic, 19&22
period: octave
generator: flat major third

5-limit

name: magic, 19&22
comma: 3125/3072
mapping: [<1 0 2|, <0 5 1|]
poptimal generator: 19/60
TOP period: 1201.276744: generator: 380.795718
MOS: 7, 10, 13, 16, 19, 22, 41, 60

7-limit

name: magic, 19&22
wedgie: <<5 1 12 -10 5 25||
mapping: [<1 0 2 -1|, <0 5 1 12|]
7-limit poptimal generator: 13/41
9-limit poptimal generator: 71/224
TOP period: 1201.276744 generator: 380.795718
TM basis: {225/224, 245/243}
MOS: 7, 10, 13, 16, 19, 22, 41

name: muggles 16&19
wedgie: <<5 1 -7 -10 -25 -19||
mapping: [<1 0 2 5|, <0 5 1 -7|]
7-limit poptimal generator: 62/197
9-limit poptimal generator: 53/168
TOP period: 1203.148010 generator: 379.393104
TM basis: {126/125, 525/512}
MOS: 7, 10, 13, 16, 19, 35, 54

name: witch
wedgie: <<5 1 9 -10 0 18||
mapping: [<1 0 2 0|, <0 5 1 9|]
7-limit poptimal generator: 39/125
9-limit poptimal generator: 6/19
TOP period: 1193.274911 generator: 377.328028
TM basis: {36/35, 1875/1792}
MOS: 7, 10, 13, 16, 19

11 limit

name: magic, 19&22
wedgie: <<5 1 12 -8 -10 5 -30 25 -22 -64||
mapping: [<1 0 2 -1 6|, <0 5 1 12 -8|]
poptimal generator: 33/104
TOP period: 1200.749423 generator: 380.922404
TM basis: {100/99, 225/224, 245/243}
MOS: 7, 10, 13, 16, 19, 22, 41, 63, 104