45/28

Interval information

Ratio	45/28
Factorization	2-2 × 32 × 5 × 7-1
Monzo	[-2 2 1 -1⟩
Size in cents	821.3978¢
Names	septimal wide minor sixth, marvel-ptolemaic minor sixth, hemifamity augmented fifth
Color name	ry5, ruyo 5th
FJS name	[math]\displaystyle{ \text{A5}^{5}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.2992
Weil norm (log2 max(n, d))	10.9837
Wilson norm (sopfr(nd))	22
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45/28, the septimal wide minor sixth, or marvel-ptolemaic minor sixth, is an interval that is sharp of the Pythagorean minor sixth by 3645/3584, i.e. a syntonic comma plus a marvel comma. It is only a third of a cent sharper than the 13\19 minor sixth of 19edo; however, it functionally doubles as a type of augmented fifth, sharp of the Pythagorean augmented fifth by 5120/5103. This gives rise to the name hemifamity augmented fifth.

See also

• 56/45 – its octave complement
• 28/15 – its twelfth complement
• Gallery of just intervals