50/49: Difference between revisions
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== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. | [[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the [[2.5.7 subgroup]], this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. In the full 7-limit, this comma further equates [[15/14]] and [[21/20]] and enables all the [[jubilismic chords]]. | ||
''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example: | ''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example: | ||
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== Approximations == | == Approximations == | ||
{{ | {{Interval edo approximation|min_edo=12}} | ||
== Etymology == | |||
The name ''jubilisma'' is likely a reference to the 50-year biblical jubilee cycle. | |||
== See also == | == See also == | ||
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[[Category:Jubilismic]] | [[Category:Jubilismic]] | ||
[[Category:Commas | [[Category:Commas referencing a famous use of a number]] | ||