75/64: Difference between revisions

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This is not a diminished third
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'''75/64''', the '''classic(al) augmented second''', arises as [[9/8]] sharpened by [[25/24]]. It can also be created by stacking nine [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma]]s. It is the [[Eigenmonzo|eigenmonzo (unchanged-interval)]] for [[2/9-comma meantone]].  
'''75/64''', the '''classic(al) augmented second''', arises as [[9/8]] sharpened by [[25/24]]. It can also be created by stacking nine [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma]]s. It is the [[Eigenmonzo|eigenmonzo (unchanged-interval)]] for [[2/9-comma meantone]]. In terms of interval regions, it can be treated as a subminor third.  


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

Revision as of 23:38, 7 April 2025

Interval information
Ratio 75/64
Factorization 2-6 × 3 × 52
Monzo [-6 1 2
Size in cents 274.5824¢
Name classic(al) augmented second
Color name yy2, yoyo 2nd
FJS name [math]\displaystyle{ \text{A2}^{5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 12.2288
Weil height (log2 max(n, d)) 12.4576
Wilson height (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

75/64, the classic(al) augmented second, arises as 9/8 sharpened by 25/24. It can also be created by stacking nine 3/2's, octave reducing, and subtracting two syntonic commas. It is the eigenmonzo (unchanged-interval) for 2/9-comma meantone. In terms of interval regions, it can be treated as a subminor third.

See also