2401/2400
(Redirected from Breedsma)
Jump to navigation
Jump to search
Ratio | 2401/2400 |
Factorization | 2^{-5} × 3^{-1} × 5^{-2} × 7^{4} |
Monzo | [-5 -1 -2 4⟩ |
Size in cents | 0.72119728¢ |
Name | breedsma |
Color name | z^{4}gg3, bizozogu 3rd, Bizozogu comma |
FJS name | [math]\text{dd3}^{7,7,7,7}_{5,5}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 22.4582 |
Weil height (log_{2} 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^{[1]}. The term breedsma appeared shortly after^{[2]}.