User:BudjarnLambeth/8277/8192: Difference between revisions
Jump to navigation
Jump to search
Name
Lilly pilly comma
Color name
89o31o-2
m Temper data |
m BudjarnLambeth moved page 8277/8192 to User:BudjarnLambeth/8277/8192 |
(No difference)
| |
Revision as of 03:14, 11 April 2025
|
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. |
| Interval information |
8277/8192, a.k.a. the lilly pilly comma, is tempered out by the Lylla temperament.
Tempering this comma on its own gives the lilly pilly temperament, a rank-3, 2.3.31.89 subgroup tuning.
Lilly pilly
Equal Temperament Mappings 2 3 31 89 [ ⟨ 24 38 119 155 ] ⟨ 17 27 84 110 ] ⟨ 19 30 94 123 ] ⟩ Reduced Mapping 2 3 31 89 [ ⟨ 1 0 0 13 ] ⟨ 0 1 0 -1 ] ⟨ 0 0 1 -1 ] ⟩ TE Generator Tunings (cents) ⟨1200.9762, 1901.7664, 5943.1926] TE Step Tunings (cents) ⟨15.53945, 24.39904, 21.74978] TE Tuning Map (cents) ⟨1200.976, 1901.766, 5943.193, 7767.731] TE Mistunings (cents) ⟨0.976, -0.189, -1.843, -3.149] 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 0.037924 Adjusted Error 3.750764 cents TE Error 0.579203 cents/octave Unison Vector [-13, 1, 1, 1⟩ (8277:8192)