The magic family

Here we have a 7-limit system with the same TOP generators as in the
5-limit, and an 11-limit system with nearly identical generators.
However, the -41-nexial system is also important in the 11-limit, and
the generators are pretty close.

magic 3125/3072 comma
[1201.28, 380.80]

7-limit magic family

0: <<5 1 12 -10 5 25|| magic {225/224, 245/243}
[1201.28, 380.80]

-3: <<5 1 9 -10 0 18|| {36/35, 1875/1792}
[1193.27, 377.33]

-16: <<5 1 -4 -10 -20 -12|| {21/20, 3125/3072}
[1211.19, 376.84]

-19: <<5 1 -7 -10 -25 -19|| muggles {126/125, 525/512}
[1203.15, 379.39]

-22: <<5 1 -10 -10 -30 -26|| {64/63, 3125/3024}
[1198.68, 381.42]

11-limit magic family

0: <<5 1 12 33 -10 5 35 25 73 51|| magic {225/224, 245/243, 441/440}
[1201.29, 380.75]

-19: <<5 1 12 14 -10 -5 -5 25 29 -2|| {55/54, 99/98, 5314/5108}
[1199.00, 381.39]

-22: <<5 1 12 11 -10 5 0 25 22 -11|| {45/44, 56/55, 245/243}
[1197.02, 379.17]

-41: <<5 1 12 -8 -10 5 -30 25 -22 -64|| {100/99, 225/224, 245/243}
[1200.75, 380.92]

-60: <<5 1 12 -27 -10 5 -60 25 -66 -117|| {225/224, 245/243, 1617/1600}
[1201.60, 380.50]