2883/2848
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Ratio
2883/2848
Subgroup monzo
2.3.31.89 [-5 1 2 -1⟩
Size in cents
21.146029¢
Name
Lilac comma
Color name
89u31oo-2
FJS name
[math]\text{m}{-2}^{31,31}_{89}[/math]
Special properties
reduced
Tenney height (log2 nd)
22.9691
Weil height (log2 max(n, d))
22.9867
Wilson height (sopfr(nd))
164
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.90116 bits
Comma size
small
open this interval in xen-calc
| This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex, or chosen arbitrarily. Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations, or conceptual frameworks. |
| Interval information |
(Shannon, [math]\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)