| 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.