815730721/800000000: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
|Ratio = 815830271/800000000
|Monzo = -11 0 -8 0 0 8
|Monzo = -11 0 -8 0 0 8
|Name = Large tridecimal eighth-octave comma
|Name = Large tridecimal eighth-octave comma

Revision as of 13:29, 12 November 2024

Interval information
Ratio 815730721/800000000
Factorization 2-11 × 5-8 × 138
Monzo [-11 0 -8 0 0 8
Size in cents 33.71158¢
Name Large tridecimal eighth-octave comma
FJS name [math]\displaystyle{ \text{9d4}^{13,13,13,13,13,13,13,13}_{5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 59.1789
Weil norm (log2 max(n, d)) 59.207
Wilson norm (sopfr(nd)) 166
Comma size medium
Open this interval in xen-calc

815830271/800000000, the large tridecimal eighth-octave comma, is a comma slightly larger than the syntonic comma that is the difference between eight 13/10's and three octaves. It is tempered out in low EDOs that are a multiple of 8, along with 214990848/214358881 and 17303/17280, defining various 8th-octave temperaments.