224/135

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.

Interval information

Ratio	224/135
Factorization	25 × 3-3 × 5-1 × 7
Monzo	[5 -3 -1 1⟩
Size in cents	876.6472¢
Names	septimal narrow major sixth, marvel-ptolemaic major sixth, aberschismic diminished seventh
Color name	zg7, zogu 7th
FJS name	[math]\displaystyle{ \text{d7}^{7}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	14.8842
Weil norm (log2 max(n, d))	15.6147
Wilson norm (sopfr(nd))	31
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See also

• 135/112 – its octave complement
• Gallery of just intervals