224/135: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septimal narrow major sixth, | | Name = septimal narrow major sixth, marvel-ptolemaic major sixth, hemifamity diminished seventh | ||
| Color name = zg7, zogu 7th | | Color name = zg7, zogu 7th | ||
}} | }} | ||
'''224/135''', the '''septimal narrow major sixth''', or '''marvel-ptolemaic major sixth''', is a [[7-limit]] interval that forms the difference between [[16/9]] and [[15/14]]. It 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 [[5120/5103]]. This gives rise to the name '''hemifamity diminished seventh'''. | |||
'''224/135''', the '''septimal narrow | |||
== See also == | == See also == | ||
* [[135/112]] – its octave complement | |||
* [[Gallery of just intervals]] | |||
[[Category:Sixth]] | |||
[[Category:Major sixth]] | |||
[[Category:Seventh]] | |||
[[Category:Diminished seventh]] | |||
[[Category:Aberschismic]] | |||