Tridecimal eighth-octave comma: Difference between revisions

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17303/17280 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]].
17303/17280 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]].

Revision as of 13:06, 27 July 2024

Interval information
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(s) missing ? 
Color name 3o1o3g1
thotrilo-agu unison
FJS name [math]\displaystyle{ \text{dd1}^{11,11,11,13}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 28.1556
Weil norm (log2 max(n, d)) 28.1575
Wilson norm (sopfr(nd)) 74
Comma size unnoticeable
S-expression S11/S12
Open this interval in xen-calc

17303/17280 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.

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