343/324

Interval information

Ratio	343/324
Factorization	2-2 × 3-4 × 73
Monzo	[-2 -4 0 3⟩
Size in cents	98.65772 ¢
Name	gamelismic minor second
Color name	z33, trizo 3rd
FJS name	[math]\displaystyle{ \text{d3}^{7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	16.7619
Weil norm (log2 max(n, d))	16.8441
Wilson norm (sopfr(nd))	37
Comma size	medium
S-expression	S72⋅S8
Open this interval in xen-calc

343/324 is a semitone-sized interval, defined as the difference between a stack of two 7/6 subminor thirds and a 9/7 supermajor third, making it a form of septimal diminished third. It is a gamelisma (1029/1024) above the Pythagorean minor second of 256/243, and is extremely close to 18/17, differing from it by the unnoticeable comma of 5832/5831.

Temperaments

Tempering it out equates a stack of three 7/6 subminor thirds with a 3/2 perfect fifth. While this is an unusual comma to temper, being nearly 100 cents in size, it is tempered out in blacksmith.

See also

• Medium comma