2401/2400

Interval information

Ratio	2401/2400
Factorization	2-5 × 3-1 × 5-2 × 74
Monzo	[-5 -1 -2 4⟩
Size in cents	0.7211973¢
Name	breedsma
Color name	z4gg3, bizozogu 3rd, Bizozogu comma
FJS name	[math]\text{dd3}^{7,7,7,7}_{5,5}[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	22.4582
Weil height (log2 max(n, d))	22.4588
Wilson height (sopfr(nd))	51
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.20468 bits
Comma size	unnoticeable
S-expression	S49
open this interval in xen-calc

2401/2400, the breedsma, is an unnoticeable 7-limit comma. It is the second smallest 7-limit superparticular comma, being the difference between 49/48 and 50/49, and between 49/40 and 60/49.

Temperaments

The breedsma is tempered out in the rank-3 breed family and all rank-2 breedsmic temperaments, all of which feature a neutral third interval for 49/40~60/49, and in which the classic chromatic semitone, 25/24, is split into two, each representing 49/48~50/49.

Etymology

The corresponding temperament was named breed by Gene Ward Smith in 2004 after Graham Breed. The term breedsma appeared shortly after.

See also

• List of superparticular intervals