224/135

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
	Open this interval in xen-calc

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