User:BudjarnLambeth/2883/2848
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(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
2883/2848, a.k.a. the lilac comma, is tempered out by the Lylla temperament.
Tempering this comma on its own gives the lilac temperament, a rank-3, 2.3.31.89 subgroup tuning.
Lilac
Equal Temperament Mappings 2 3 31 89 [ ⟨ 19 30 94 123 ] ⟨ 5 8 25 33 ] ⟨ 17 27 84 110 ] ⟩ Reduced Mapping 2 3 31 89 [ ⟨ 1 0 0 -5 ] ⟨ 0 1 0 1 ] ⟨ 0 0 1 2 ] ⟩ TE Generator Tunings (cents) ⟨1200.6308, 1901.6381, 5938.8430] TE Step Tunings (cents) ⟨32.54482, 8.45154, 31.76597] TE Tuning Map (cents) ⟨1200.631, 1901.638, 5938.843, 7776.170] TE Mistunings (cents) ⟨0.631, -0.317, -6.193, 5.290] These calculations use inharmonic TE. Subgroup TE will not work because the basis is not a subgroup of the rational numbers or has a redundant entry or something else is wrong. Complexity 0.031827 Adjusted Error 5.288352 cents TE Error 0.816641 cents/octave Unison Vector [-5, 1, 2, -1⟩ (2883:2848)