75/64: Difference between revisions

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'''75/64'''
{{Infobox Interval
|-6 1 2>
| Name = classic(al) augmented second
| Color name = yy2, yoyo 2nd
| Sound = jid_75_64_pluck_adu_dr220.mp3
}}


274.5824 cents
'''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|unchanged interval (eigenmonzo)]] for [[2/9-comma meantone]]. In terms of interval regions, it can be treated as a subminor third.  


[[File:jid_75_64_pluck_adu_dr220.mp3]] [[:File:jid_75_64_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[128/75]] – its [[octave complement]]
* [[Gallery of just intervals]]


The classic ([[5-limit|5-limit]]) augmented second.
[[Category:Second]]
[[Category:todo:expand]]
[[Category:Augmented second]]
[[Category:Meantone]]
[[Category:Subminor third]]

Latest revision as of 06:53, 21 June 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 unchanged interval (eigenmonzo) for 2/9-comma meantone. In terms of interval regions, it can be treated as a subminor third.

See also

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