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>, 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 [[Nuwell family#Big Brother|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 [[Nuwell family#Big Brother|Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]]. | ||
== See also == | == See also == | ||
Revision as of 02:43, 9 May 2021
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540/539, the swetisma, is a comma in the 11-limit, equal to (15/11)/(7/6)2, 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.