112/81: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = grave Huygens' tritone
| Name = grave narrow tritone, grave Huygens' tritone
| Color name = z5, zo 5th
| Color name = z5, zo 5th
}}
}}


In [[7-limit]] [[just intonation]], '''112/81''' is a '''grave Huygens' tritone''' of about 561¢, a syntonic comma flat of [[7/5]]. It is of importance in [[EDF]] scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\[[5edf]].
In [[7-limit]] [[just intonation]], '''112/81''' is a '''grave narrow tritone''' or '''grave Huygen's tritone''' of about 561¢, a syntonic comma flat of [[7/5]]. It is of importance in [[EDF]] scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\[[5edf]].


[[Category:Tritone]]
[[Category:Tritone]]

Revision as of 00:42, 25 May 2023

Interval information
Ratio 112/81
Factorization 24 × 3-4 × 7
Monzo [4 -4 0 1
Size in cents 561.0059¢
Names grave narrow tritone,
grave Huygens' tritone
Color name z5, zo 5th
FJS name [math]\displaystyle{ \text{d5}^{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.1472
Weil norm (log2 max(n, d)) 13.6147
Wilson norm (sopfr(nd)) 27
Open this interval in xen-calc

In 7-limit just intonation, 112/81 is a grave narrow tritone or grave Huygen's tritone of about 561¢, a syntonic comma flat of 7/5. It is of importance in EDF scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\5edf.