75/64: Difference between revisions

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Relationship of this interval to common scales.
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'''75/64''' is the classic ([[5-limit]]) augmented second. It can also be created by stacking 9 [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma|syntonic commas]], in which case it is a diminished third instead, and the [[eigenmonzo]] for [[2/9 comma meantone]].  
'''75/64''' is the classic ([[5-limit]]) augmented second. It can also be created by stacking 9 [[3/2]]'s, octave reducing, and subtracting two [[syntonic comma|syntonic commas]], in which case it is a diminished third instead, and the [[eigenmonzo]] for [[2/9 comma meantone]].  
== See also ==
* [[128/75]] – its [[octave complement]]
* [[Gallery of just intervals]]


[[Category:todo:expand]]
[[Category:todo:expand]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:Meantone]]
[[Category:Meantone]]

Revision as of 23:28, 6 November 2021

Interval information
Ratio 75/64
Factorization 2-6 × 3 × 52
Monzo [-6 1 2
Size in cents 274.5824¢
Name classic augmented second
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 (5-limit) 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 for 2/9 comma meantone.

See also