1728/1715: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 1728/1715
| Monzo = 6 3 -1 -3
| Cents = 13.07357
| Name = orwellisma
| Name = orwellisma
| Color name =  
| Color name = r<sup>3</sup>g-2, triru-agu negative 2nd,<br>Triru-agu comma
| FJS name =
| Comma = yes
| Sound =  
}}
}}


'''1728/1715''', the '''orwellisma''', is a [[7-limit]] comma measuring about 13.1 cents and 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]]. Tempering this comma leads to temperaments in the [[orwellismic family]].
'''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]].  


{{todo|expand}}
== 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 ==
* [[Comma]]
* [[Small comma]]
* [[Small comma]]


[[Category:7-limit]]
[[Category:Small commas]]
[[Category:Orwellismic]]
[[Category:Orwellismic]]
[[Category:Commas named after other creatives]]

Latest revision as of 01:59, 4 November 2024

Interval information
Ratio 1728/1715
Factorization 26 × 33 × 5-1 × 7-3
Monzo [6 3 -1 -3
Size in cents 13.07357¢
Name orwellisma
Color name r3g-2, triru-agu negative 2nd,
Triru-agu comma
FJS name [math]\displaystyle{ \text{m}{-2}_{5,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.4989
Weil norm (log2 max(n, d)) 21.5098
Wilson norm (sopfr(nd)) 47
Comma size small
S-expression S6/S7
Open this interval in xen-calc

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.

See also