111th-octave temperaments

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Roentgenium

Roentgenium is the fractional-octave temperament defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in 8103edo by Eliora.

Subgroup: 2.3.5.7.11

Comma list: [-25 -12 -3 12  5, [-27  27  0  3 -7, [26  -8 -2  8 -9

Mapping: [111 111 2855 896 384], 0 1 -40 -9 0]]

Optimal tuning (CTE): ~3/2 = 701.964

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 31213/31212, 486400/486387, 633556/633555, 653429/653400, 1037232/1037153, 9714446/9713275, 24764600/24762387

Mapping: [111 111 2855 896 384 410 452 472], 0 1 -40 -9 0 -11 -25 7]]

Optimal tuning (CTE): ~3/2 = 701.9...

Optimal ET sequence3219c, 4884, 8103, 12987, ...