540/539: Difference between revisions
Jump to navigation
Jump to search
m Normalising usage of Infobox Interval |
+naming |
||
| Line 4: | Line 4: | ||
}} | }} | ||
'''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 == | ||
| Line 11: | Line 14: | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
== Notes == | |||
[[Category:Swetismic]] | [[Category:Swetismic]] | ||
Revision as of 13:22, 13 May 2023
| Interval information |
reduced
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.
Etymology
The swetisma was named by Manuel Op de Coul no later than 2004, after the Dutch ethnomusicologist Wouter Swets[1].
See also
- Swetismic chords
- Rank-4 temperament #Swetismic (540/539)
- Swetismic temperaments, a collection of rank-3 temperaments where it is tempered out
- Unnoticeable comma
- List of superparticular intervals