224/135: Difference between revisions

m Changed "minor" to "major" in description
Update thanks to the establishment of the aberschisma
 
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{{Infobox Interval
{{Infobox Interval
| Name = septimal narrow major sixth, marvelous major sixth
| Name = septimal narrow major sixth, marvel-ptolemaic major sixth, aberschismic diminished seventh
| Color name = zg7, zogu 7th
| Color name = zg7, zogu 7th
}}
}}
 
'''224/135''', conventionally known as the '''septimal narrow major sixth''' or '''marvel-ptolemaic major sixth''', is a [[7-limit]] interval that is flat of the [[27/16|Pythagorean major sixth]] by [[3645/3584]], i.e. a [[81/80|syntonic comma]] plus a [[225/224|marvel comma]]. This interval functionally doubles as a type of diminished seventh, flat of the [[32768/19683|Pythagorean diminished seventh]] by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic diminished seventh'''. In fact it forms the difference between [[16/9]] and [[15/14]].  
'''224/135''', the '''septimal narrow major sixth''', or '''marvelous major sixth''', is a [[7-limit]] interval that forms the difference between [[7/4]] and [[135/128]], and between [[16/9]] and [[15/14]]. Given that 135/128 is a type of chromatic semitone, this means 224/135 functionally doubles as a type of diminished seventh.


== See also ==
== See also ==
* [[135/112]] – its octave complement
* [[Gallery of just intervals]]


* [[135/112]] -- its octave complement
[[Category:Sixth]]
* [[Gallery of just intervals]]
[[Category:Major sixth]]
[[Category:Seventh]]
[[Category:Diminished seventh]]
[[Category:Aberschismic]]