128/105: Difference between revisions

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'''128/105''' is a [[7-limit]] interval. As the [[fifth complement]] of [[315/256]], it is an incredibly good approximation to the lesser tridecimal neutral third of [[39/32]] (off by only a [[schismina]]), and approximates [[7edo|2\7]] even more accurately (off by only a seventh of an [[akjaysma]]).
'''128/105''' is a [[7-limit]] interval. As the [[fifth complement]] of [[315/256]], it is an incredibly good approximation to the lesser tridecimal neutral third of [[39/32]] (off by only [[4096/4095]]), and approximates [[7edo|2\7]] even more accurately (off by only a seventh of an [[akjaysma]]).

Latest revision as of 09:50, 3 March 2026

Interval information
Ratio 128/105
Factorization 27 × 3-1 × 5-1 × 7-1
Monzo [7 -1 -1 -1
Size in cents 342.9054¢
Names quasi-tempered 2/7-octave,
105th subharmonic
Color name rg3, rugu 3rd
FJS name [math]\displaystyle{ \text{m3}_{5,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 13.7142
Weil norm (log2 max(n, d)) 14
Wilson norm (sopfr(nd)) 29
Open this interval in xen-calc

128/105 is a 7-limit interval. As the fifth complement of 315/256, it is an incredibly good approximation to the lesser tridecimal neutral third of 39/32 (off by only 4096/4095), and approximates 2\7 even more accurately (off by only a seventh of an akjaysma).