Tridecimal eighth-octave comma: Difference between revisions

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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 = Shelly comma
|Color name = 3o1o<sup>3</sup>g1 <br> thotrilo-agu unison
|Color name = 3o1o<sup>3</sup>g1 <br> thotrilo-agu unison
|Name = Tridecimal eighth-octave comma
|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''', the '''tridecimal eighth-octave comma''', is an unnoticable comma that is the difference between three [[12/11]] neutral seconds and a [[13/10]] semisixth, and is also the interval separating [[1331/1296]] from the simpler [[40/39]]. It is tempered out in low EDOs that are a multiple of 8, along with [[214990848/214358881]] and [[815730721/800000000]], 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.
[[Category:Commas named for their periods per equave]]