60/49: Difference between revisions

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'''60/49''', the smaller septimal neutral third, is only 2401/2400 (0.72 cents) flat of [[49/40]], the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 cents) sharp of [[11/9]], and this is one of the ways [[11-limit]] harmony is introduced into [[7-limit]] scales. In particular, it is the interval between [[7/6]] and [[10/7]].
'''60/49''', the '''smaller septimal neutral third''', is only [[2401/2400]] (0.72 cents) flat of [[49/40]], the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 cents) sharp of [[11/9]], and this is one of the ways [[11-limit]] harmony is introduced into [[7-limit]] scales. In particular, it is the interval between [[7/6]] and [[10/7]].


== See also ==
== See also ==

Revision as of 12:39, 30 December 2020

Interval information
Ratio 60/49
Factorization 22 × 3 × 5 × 7-2
Monzo [2 1 1 -2
Size in cents 350.6169¢
Name smaller septimal neutral third
FJS name [math]\displaystyle{ \text{A2}^{5}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.5216
Weil norm (log2 max(n, d)) 11.8138
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

60/49, the smaller septimal neutral third, is only 2401/2400 (0.72 cents) flat of 49/40, the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 cents) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 7/6 and 10/7.

See also