2883/2848

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Interval information

Ratio	2883/2848
Subgroup monzo	2.3.31.89 [-5 1 2 -1⟩
Size in cents	21.14603¢
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

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)