540/539: Difference between revisions
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'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) or to ([[99/98]])/([[121/120]]). Thus, tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]]. | '''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) or to ([[99/98]])/([[121/120]]). Thus, tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]]. | ||
== Etymology == | |||
The swetisma was named by [[Manuel Op de Coul]] no later than 2004, after the Dutch ethnomusicologist Wouter Swets<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10199 Yahoo! Tuning Group | ''Comma names'']</ref>. | |||
== See also == | == See also == | ||
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* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
== Notes == | |||
[[Category:Swetismic]] | [[Category:Swetismic]] |