8th-octave temperaments

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Octium

Octium temperament is named after an "extended provisional" name for oxygen, the 8th element. The term oxygen itself is already the name of an exotemperament.

Subgroup: 2.3.19.23.29.31

Comma list: 94221/94208, 419957/419904, 219501/219488, 7997934975003/7996960669696

Subgroup-val mapping[8 2 35 25 47 2], 0 21 -2 22 -16 74]]

mapping generators: ~10051/9216 = 1\8, ~231173/221184 = 76.284

Optimal tuning (CTE): ~231173/221184 = 76.284

Supporting ETs: 472, 1400, 1872, 3272, 5144