224/135: Difference between revisions
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Created page with "{{Infobox Interval | JI glyph = | Ratio = 224/135 | Monzo = 5 -3 -1 1 | Cents = 876.64719 | Name = septimal narrow major sixth, <br> marvelous major sixth | Color name = | F..." |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septimal narrow major sixth, marvel-ptolemaic major sixth, aberschismic diminished seventh | |||
| Color name = zg7, zogu 7th | |||
| Name = septimal narrow major sixth, | |||
| Color name = | |||
}} | }} | ||
'''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 an [[3645/3584|aberdiesis (3645/3584)]], i.e. a [[81/80|syntonic comma]] plus a [[225/224|marvel comma (225/224)]]. This interval functionally doubles as a type of diminished seventh, flat of the [[32768/19683|Pythagorean diminished seventh]] by an [[aberschisma|aberschisma (5120/5103)]]. 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 13:16, 31 August 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 an aberdiesis (3645/3584), i.e. a syntonic comma plus a marvel comma (225/224). This interval functionally doubles as a type of diminished seventh, flat of the Pythagorean diminished seventh by an aberschisma (5120/5103). 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