Tridecimal eighth-octave comma
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Ratio
17303/17280
Factorization
2-7 × 3-3 × 5-1 × 113 × 13
Monzo
[-7 -3 -1 0 3 1⟩
Size in cents
2.302772¢
Name
Tridecimal eighth-octave comma
Color name
3o1o3g1
thotrilo-agu unison
FJS name
[math]\text{dd1}^{11,11,11,13}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
28.1556
Weil height (log2 max(n, d))
28.1575
Wilson height (sopfr(nd))
74
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.24851 bits
Comma size
unnoticeable
S-expression
S11 / S12
open this interval in xen-calc
| Interval information |
thotrilo-agu unison
(Shannon, [math]\sqrt{nd}[/math])
17303/17280, the tridecimal eighth-octave comma, is an unnoticable comma that is the difference between three 12/11 neutral seconds and a 13/10 supermajor third. It is tempered out in low EDOs that are a multiple of 8, along with 214990848/214358881 and 815830271/800000000, defining various 8th-octave temperaments. However, that's not all, as it is also tempered out in EDOs such as 159edo.