Tridecimal eighth-octave comma: Difference between revisions

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Named
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|Ratio = 17303/17280
|Ratio = 17303/17280
|Monzo = -7 -3 -1 0 3 1
|Monzo = -7 -3 -1 0 3 1
|Name =  
|Name = Shelly
|Color name = 3o1o<sup>3</sup>g1 <br> thotrilo-agu unison
|Color name = 3o1o<sup>3</sup>g1 <br> thotrilo-agu unison
|Comma = yes
|Comma = yes
}}
}}


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]].
 
Previously known, but unnamed, [[Budjarn Lambeth]] named it the '''shelly comma''' in 2024, after asteroid 17280 Shelly.

Revision as of 06:39, 22 September 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 Shelly
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.

Previously known, but unnamed, Budjarn Lambeth named it the shelly comma in 2024, after asteroid 17280 Shelly.