User:BudjarnLambeth/8277/8192: Difference between revisions
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Ratio
8277/8192
Subgroup monzo
2.3.31.89 [-13 1 1 1⟩
Size in cents
17.87069 ¢
Name
Lilly pilly comma
Color name
89o31o-2
FJS name
[math]\displaystyle{ \text{d}{-2}^{31,89} }[/math]
Special properties
reduced,
reduced harmonic
Tenney norm (log2 nd)
26.0149
Weil norm (log2 max(n, d))
26.0298
Wilson norm (sopfr(nd))
149
Comma size
small
Open this interval in xen-calc
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{{editable user page|Do not remove anything, but feel free to add stuff (e.g. music, instruments, modes, subsets, tables, diagrams, any other observations.)}} | {{editable user page|Do not remove anything, but feel free to add stuff (e.g. music, instruments, modes, subsets, tables, diagrams, any other observations.)}} | ||
Latest revision as of 09:54, 17 October 2026
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| Interval information |
reduced harmonic
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)