75/64: Difference between revisions

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add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group
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'''75/64''' is the '''classic(al) augmented second'''. It can also be created by stacking 9 [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma]]s, in which case it is a diminished third instead, and the [[eigenmonzo]] for [[2/9 comma meantone]].  
'''75/64''' is the '''classic(al) augmented second'''. It can also be created by stacking 9 [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma]]s, in which case it is a diminished third instead, and the [[eigenmonzo]] (unchanged-interval) for [[2/9 comma meantone]].  


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

Revision as of 23:41, 5 May 2023

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 is the classic(al) augmented second. It can also be created by stacking 9 3/2's, octave reducing, and subtracting two syntonic commas, in which case it is a diminished third instead, and the eigenmonzo (unchanged-interval) for 2/9 comma meantone.

See also