81/40: Difference between revisions

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The ratio of '''81/40''' is essentially a syntonic comma ([[81/80]]) - and the distance between the 81st and 40th harmonic - but one octave higher.
{{Infobox Interval
| Name = syntonic octave
| Color name = g8, gu octave
}}
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.


This interval spans the size of 1221.506290 cents.
[[Category:Octave]]
 
{{todo|categorize}}
{{Infobox Interval|Ratio=81/40|Size in cents=1221.506290|Name=syntonic octave}}

Latest revision as of 07:57, 3 January 2025

Interval information
Ratio 81/40
Factorization 2-3 × 34 × 5-1
Monzo [-3 4 -1⟩
Size in cents 1221.506¢
Name syntonic octave
Color name g8, gu 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.

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