User:BudjarnLambeth/2883/2848

Interval information
Name	Lilac comma
Color name	89u31oo-2

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

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)