Negri comma: Difference between revisions

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'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])4/([[4/3]])3, and is also the amount by which three [[16/15|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)3. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].

== Etymology ==

The corresponding temperament was discovered first, dubbed ''negri'' by [[Paul Erlich]] in early 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3774.html#3813 Yahoo! Tuning Group | ''25 best weighted generator steps 5-limit temperaments'']</ref>. The comma was at one point dubbed ''negrisma'' by [[Gene Ward Smith]] in late 2002, though it was ''negri comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>.

== See also ==

* [[Negri]]

* [[Medium comma]]

== Notes ==

[[Category:Negri]]

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 '''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].
+== Etymology ==
+The corresponding temperament was discovered first, dubbed ''negri'' by [[Paul Erlich]] in early 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3774.html#3813 Yahoo! Tuning Group | ''25 best weighted generator steps 5-limit temperaments'']</ref>. The comma was at one point dubbed ''negrisma'' by [[Gene Ward Smith]] in late 2002, though it was ''negri comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>.
 == See also ==
-* [[Negri]]
 * [[Medium comma]]
+== Notes ==
 [[Category:Negri]]