81/40: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 81/40
| Monzo = -3 4 1
| Cents = 1221.50629
| Name = syntonic octave
| Name = syntonic octave
}}
}}

Revision as of 17:01, 25 October 2022

Interval information
Ratio 81/40
Factorization 2-3 × 34 × 5-1
Monzo [-3 4 -1
Size in cents 1221.506¢
Name syntonic octave
FJS name [math]\displaystyle{ \text{P8}_{5} }[/math]
Tenney norm (log2 nd) 11.6618
Weil norm (log2 max(n, d)) 12.6797
Wilson norm (sopfr(nd)) 23
Open this interval in xen-calc

The ratio of 81/40 is the distance between the 81st and 40th harmonic, which can be seen as an octave that is augmented by a syntonic comma (81/80). This interval spans the size of about 1221.5 cents.