2401/2400
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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
| Interval information |
Bizozogu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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[1]. The term breedsma appeared shortly after[2].