Passion comma: Difference between revisions

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The '''passion comma''' ([[ratio]]: 262144/253125, {{monzo|legend=1| 18 -4 -5 }}) is a [[5-limit]] [[comma]] measuring about 60.6 [[cent]]s. It is the amount by which a stack of five [[16/15|classical minor seconds (16/15)]] exceeds the [[4/3|perfect fourth (4/3)]]. According to an analysis in [https://archive.org/details/harmonicexperien0000math ''The Harmonic Experience''] by [[W. A. Mathieu]], {{w|Ludwig van Beethoven|Beethoven}}'s {{w|Piano Sonata No. 23 (Beethoven)|''Appassionata'' sonata}} pumps this comma, leading to its name ''passion'' as was given by [[Paul Erlich]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54068.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10746.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref>.

The '''passion comma''' ([[ratio]]: 262144/253125, {{monzo|legend=1| 18 -4 -5 }}), is a [[medium comma|medium]] [[5-limit]] [[comma]] measuring about 60.6 [[cent]]s. It is the amount by which a stack of five [[16/15|classical minor seconds (16/15)]] exceeds the [[4/3|perfect fourth (4/3)]]. According to an analysis in [https://archive.org/details/harmonicexperien0000math ''The Harmonic Experience''] by [[W. A. Mathieu]], {{w|Ludwig van Beethoven|Beethoven}}'s {{w|Piano Sonata No. 23 (Beethoven)|''Appassionata'' sonata}} pumps this comma, leading to its name ''passion'' as was given by [[Paul Erlich]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54068.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10746.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref>.

== Temperaments ==

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-The '''passion comma''' ([[ratio]]: 262144/253125, {{monzo|legend=1| 18 -4 -5 }}) is a [[5-limit]] [[comma]] measuring about 60.6 [[cent]]s. It is the amount by which a stack of five [[16/15|classical minor seconds (16/15)]] exceeds the [[4/3|perfect fourth (4/3)]]. According to an analysis in [https://archive.org/details/harmonicexperien0000math ''The Harmonic Experience''] by [[W. A. Mathieu]], {{w|Ludwig van Beethoven|Beethoven}}'s {{w|Piano Sonata No. 23 (Beethoven)|''Appassionata'' sonata}} pumps this comma, leading to its name ''passion'' as was given by [[Paul Erlich]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54068.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10746.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref>.
+The '''passion comma''' ([[ratio]]: 262144/253125, {{monzo|legend=1| 18 -4 -5 }}), is a [[medium comma|medium]] [[5-limit]] [[comma]] measuring about 60.6 [[cent]]s. It is the amount by which a stack of five [[16/15|classical minor seconds (16/15)]] exceeds the [[4/3|perfect fourth (4/3)]]. According to an analysis in [https://archive.org/details/harmonicexperien0000math ''The Harmonic Experience''] by [[W. A. Mathieu]], {{w|Ludwig van Beethoven|Beethoven}}'s {{w|Piano Sonata No. 23 (Beethoven)|''Appassionata'' sonata}} pumps this comma, leading to its name ''passion'' as was given by [[Paul Erlich]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54068.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10746.html Yahoo! Tuning Group | ''Beethoven's Appassionata comma'']</ref>.
 == Temperaments ==