224/135: Difference between revisions

- difference pair (lack of significance)
Update thanks to the establishment of the aberschisma
 
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{{Infobox Interval
{{Infobox Interval
| Name = septimal narrow major sixth, marvel-ptolemaic major sixth, hemifamity diminished seventh
| Name = septimal narrow major sixth, marvel-ptolemaic major sixth, aberschismic 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''', 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]].  


== See also ==
== See also ==
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[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Diminished seventh]]
[[Category:Diminished seventh]]
[[Category:Hemifamity]]
[[Category:Aberschismic]]