1728/1715: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 1728/1715 | | Ratio = 1728/1715 | ||
| Monzo = 6 3 -1 -3 | | Monzo = 6 3 -1 -3 | ||
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'''1728/1715''', the '''orwellisma''', is a [[7-limit]] comma measuring about 13.1 | '''1728/1715''', the '''orwellisma''', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 13.1 [[cent]]s. It is equal to ([[8/5]])/([[7/6]])<sup>3</sup> and thus often makes sense to temper in any temperament where the generator (or a multiple thereof) is a slightly sharpened 7/6, such as in [[orwell]]. | ||
== Temperaments == | |||
Tempering out this comma alone in the 7-limit leads to the [[orwellismic]] temperament. See [[orwellismic family]] for the rank-3 temperament family where it is tempered out. See [[orwellismic temperaments]] for a collection of rank-2 temperaments where it is tempered out. | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
Revision as of 13:50, 22 October 2022
| Interval information |
1728/1715, the orwellisma, is a small 7-limit comma measuring about 13.1 cents. It is equal to (8/5)/(7/6)3 and thus often makes sense to temper in any temperament where the generator (or a multiple thereof) is a slightly sharpened 7/6, such as in orwell.
Temperaments
Tempering out this comma alone in the 7-limit leads to the orwellismic temperament. See orwellismic family for the rank-3 temperament family where it is tempered out. See orwellismic temperaments for a collection of rank-2 temperaments where it is tempered out.