19/11: Difference between revisions
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'''19/11''', the '''undevicesimal semitwelfth''' is a [[19-limit]] [[interseptimal]] interval measuring about 946 [[cent]]s. It can also be called the ''maximal major sixth'' in analogy to its inverse [[22/19]]. | '''19/11''', the '''undevicesimal semitwelfth''' is a [[19-limit]] [[interseptimal]] interval measuring about 946 [[cent]]s. It is classified as a [[minor seventh]] in [[FJS]] and [[HEJI]], flat of the [[16/9|Pythagorean minor seventh]] by [[176/171]], which is the difference between [[33/32]] and [[513/512]]. It can also be called the ''maximal major sixth'' in analogy to its inverse [[22/19]], in which case it is sharp of the [[27/16|Pythagorean major sixth]] by [[304/297]]. A stack of two 19/11's falls short of [[3/1]] by [[363/361]]. | ||
== Approximation == | |||
{{Interval edo approximation|19/11}} | |||
== See also == | == See also == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal intervals]] | ||
[[Category:Semitwelfth]] | [[Category:Semitwelfth]] | ||
[[Category:Sixth]] | [[Category:Sixth]] | ||
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[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Subminor seventh]] | [[Category:Subminor seventh]] | ||
[[Category:Over-11]] | [[Category:Over-11 intervals]] | ||
[[Category:Taxicab-2 intervals]] | |||
Latest revision as of 07:57, 11 April 2026
| Interval information |
maximal major sixth
[sound info]
19/11, the undevicesimal semitwelfth is a 19-limit interseptimal interval measuring about 946 cents. It is classified as a minor seventh in FJS and HEJI, flat of the Pythagorean minor seventh by 176/171, which is the difference between 33/32 and 513/512. It can also be called the maximal major sixth in analogy to its inverse 22/19, in which case it is sharp of the Pythagorean major sixth by 304/297. A stack of two 19/11's falls short of 3/1 by 363/361.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 4\5 | 960.00 | +13.80 | +5.75 |
| 9 | 7\9 | 933.33 | -12.86 | -9.65 |
| 14 | 11\14 | 942.86 | -3.34 | -3.89 |
| 19 | 15\19 | 947.37 | +1.17 | +1.86 |
| 24 | 19\24 | 950.00 | +3.80 | +7.61 |
| 28 | 22\28 | 942.86 | -3.34 | -7.79 |
| 33 | 26\33 | 945.45 | -0.74 | -2.04 |
| 38 | 30\38 | 947.37 | +1.17 | +3.72 |
| 43 | 34\43 | 948.84 | +2.64 | +9.47 |
| 47 | 37\47 | 944.68 | -1.51 | -5.93 |
| 52 | 41\52 | 946.15 | -0.04 | -0.18 |
| 57 | 45\57 | 947.37 | +1.17 | +5.57 |
| 61 | 48\61 | 944.26 | -1.93 | -9.82 |
| 66 | 52\66 | 945.45 | -0.74 | -4.07 |
| 71 | 56\71 | 946.48 | +0.28 | +1.68 |
| 76 | 60\76 | 947.37 | +1.17 | +7.43 |
| 80 | 63\80 | 945.00 | -1.20 | -7.97 |