User:BudjarnLambeth/7936/7921: Difference between revisions
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Ratio
7936/7921
Subgroup monzo
2.31.89 [8 1 -2⟩
Size in cents
3.275338 ¢
Name
Lily comma
Color name
89uu31o1
FJS name
[math]\displaystyle{ \text{d1}^{31}_{89,89} }[/math]
Special properties
reduced
Tenney norm (log2 nd)
25.9057
Weil norm (log2 max(n, d))
25.9084
Wilson norm (sopfr(nd))
225
Comma size
unnoticeable
Open this interval in xen-calc
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Latest revision as of 09:54, 17 October 2026
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| Interval information |
7936/7921, a.k.a. the lily comma, is tempered out by the Lylla temperament.
Tempering this comma on its own gives the lily temperament, a rank-2, 2.31.89 subgroup tuning.
Lily
Equal Temperament Mappings 2 31 89 [ ⟨ 21 104 136 ] ⟨ 23 114 149 ] ⟩ Reduced Mapping 2 31 89 [ ⟨ 1 4 6 ] ⟨ 0 2 1 ] ⟩ TE Generator Tunings (cents) ⟨1199.8978, 572.5654] TE Step Tunings (cents) ⟨29.87046, 24.89644] TE Tuning Map (cents) ⟨1199.898, 5944.722, 7771.952] TE Mistunings (cents) ⟨-0.102, -0.314, 1.072] 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 0.166333 Adjusted Error 0.764933 cents TE Error 0.118123 cents/octave Unison Vector [8, 1, -2⟩ (7936:7921)