User:BudjarnLambeth/729/712: Difference between revisions
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Ratio
729/712
Subgroup monzo
2.3.89 [-3 6 -1⟩
Size in cents
40.84989 ¢
Name
Oxidizer comma
Color name
L89u1
FJS name
[math]\displaystyle{ \text{P1}_{89} }[/math]
Special properties
reduced
Tenney norm (log2 nd)
18.9855
Weil norm (log2 max(n, d))
19.0196
Wilson norm (sopfr(nd))
113
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 |
729/712, a.k.a. the oxidizer comma, is tempered out by the Rocket temperament.
Tempering this comma on its own gives the oxidizer temperament, a rank-2, 2.3.89 subgroup tuning.
Oxidizer
Equal Temperament Mappings 2 3 89 [ ⟨ 7 11 45 ] ⟨ 5 8 33 ] ⟩ Reduced Mapping 2 3 89 [ ⟨ 1 2 9 ] ⟨ 0 -1 -6 ] ⟩ TE Generator Tunings (cents) ⟨1200.8669, 504.1340] TE Step Tunings (cents) ⟨118.93652, 73.66225] TE Tuning Map (cents) ⟨1200.867, 1897.600, 7782.997] TE Mistunings (cents) ⟨0.867, -4.355, 12.117] 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 0.386145 Adjusted Error 12.845148 cents TE Error 1.983582 cents/octave Unison Vector [-3, 6, -1⟩ (729:712)