2401/2400

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Revision as of 12:40, 30 December 2020 by Xenwolf (talk | contribs) (link septimal neutral thirds)
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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
FJS name [math]\displaystyle{ \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
Open this interval in xen-calc

2401/2400, the breedsma, is a 7-limit unnoticeable 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.

It 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.

See also