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, 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 | |||
== 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]] | |||
Latest revision as of 19:48, 30 July 2026
| Interval information |
marvel-ptolemaic major sixth,
aberschismic 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 Pythagorean major sixth by 3645/3584, i.e. a syntonic comma plus a marvel comma. This interval functionally doubles as a type of diminished seventh, flat of the 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
- 135/112 – its octave complement
- Gallery of just intervals