https://en.xen.wiki/index.php?action=history&feed=atom&title=Mandos_commaMandos comma - Revision history2026-09-20T01:42:30ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=Mandos_comma&diff=237279&oldid=prevFloraC: Birth2026-09-16T07:39:53Z<p>Birth</p>
<p><b>New page</b></p><div>{{Infobox interval<br />
| Ratio = 31104/30625<br />
| Name = Mandos comma<br />
| Comma = true<br />
}}<br />
The '''mandos comma''' ([[ratio]]: 31104/30625, {{monzo|legend=1| 7 5 -4 -2 }} is a [[small comma]] in the [[7-limit]], measuring about 26.9 [[cent]]s. It is the difference between a stack of two [[36/35]] septimal quartertones and a [[25/24]] classical chromatic semitone. <br />
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It is thus also the difference between 36/35 and [[875/864]], and in terms of other commas, between [[64/63]] and [[4375/4374]], and between [[128/125]] and [[245/243]]. It factors into simpler commas as ([[126/125]])⋅([[1728/1715]]), ([[2048/2025]])⋅([[19683/19600]]), ([[2430/2401]])⋅([[3136/3125]]), or ([[81/80]])⋅([[6144/6125]]). <br />
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== Temperaments ==<br />
[[Tempering out]] this comma leads to the 7-limit version of the [[mandos]] temperament. Mandos has a canonical [[11-limit]] [[extension]] that tempers out [[176/175]] and [[243/242]], from 31104/30625 = (176/175)<sup>2</sup>⋅(243/242). <br />
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The mandos comma is tempered out in rank-2 temperaments such as [[myna]], [[modus]], and [[mohajira]]. <br />
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[[Category:Mandos]]<br />
[[Category:Commas with unknown etymology]]</div>FloraC