405/392

Interval information

Ratio	405/392
Factorization	2-3 × 34 × 5 × 7-2
Monzo	[-3 4 1 -2⟩
Size in cents	56.4819¢
Name	greenwoodma
Color name	rry-2, ruruyo negative 2nd
FJS name	[math]\displaystyle{ \text{d}{-2}^{5}_{7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	17.2765
Weil height (log2 max(n, d))	17.3236
Wilson height (sopfr(nd))	37
Comma size	medium
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405/392, the greenwoodma, is a medium 7-limit comma.

Temperaments

Tempering out this comma leads to the greenwoodmic temperament. See Greenwoodmic temperaments for a collection of rank-2 temperaments where it is tempered out.

Notation

Sagittal notation

In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal ⁠ ⁠ and is called the 49/5 medium diesis, or 49/5M for short, because the simplest interval it notates is 49/5 = 7×7/5 (equiv. 49/40), as for example in C-E⁠ ⁠⁠ ⁠. The upward version is called 5/49M or 49/5M up and is represented by ⁠ ⁠.