User:BudjarnLambeth/7921/7776: Difference between revisions
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Ratio
7921/7776
Subgroup monzo
2.3.89 [-5 -5 2⟩
Size in cents
31.98523 ¢
Name
Attic comma
Color name
89oo1
FJS name
[math]\displaystyle{ \text{A1}^{89,89} }[/math]
Special properties
reduced
Tenney norm (log2 nd)
25.8763
Weil norm (log2 max(n, d))
25.9029
Wilson norm (sopfr(nd))
203
Comma size
medium
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 attic comma, is tempered out by the Floor temperament.
Tempering this comma on its own gives the attic temperament, a rank-2, 2.3.89 subgroup tuning.
Attic
Equal Temperament Mappings 2 3 89 [ ⟨ 7 11 45 ] ⟨ 17 27 110 ] ⟩ Reduced Mapping 2 3 89 [ ⟨ 1 1 5 ] ⟨ 0 2 5 ] ⟩ TE Generator Tunings (cents) ⟨1200.6258, 351.4507] TE Step Tunings (cents) ⟨28.46792, 58.90296] TE Tuning Map (cents) ⟨1200.626, 1903.527, 7760.382] TE Mistunings (cents) ⟨0.626, 1.572, -10.498] 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 0.519162 Adjusted Error 7.480760 cents TE Error 1.155199 cents/octave Unison Vector [-5, -5, 2⟩ (7921:7776)