75/64: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
No edit summary
Fredg999 (talk | contribs)
Added color and FJS names, misc. edits, categories
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 75/64
| Ratio = 75/64
| Monzo = -6 1 2
| Monzo = -6 1 2
| Cents = 274.58243
| Cents = 274.58243
| Name = classic augmented second
| Name = classic augmented second
| Color name =  
| Color name = yy2, yoyo 2nd
| FJS name =  
| FJS name = A2<sup>25</sup>
| Sound = jid_75_64_pluck_adu_dr220.mp3
| Sound = jid_75_64_pluck_adu_dr220.mp3
}}
}}


'''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]]s, in which case it is a diminished third instead, and the [[eigenmonzo]] for [[2/9 comma meantone]].  


== See also ==
== See also ==
Line 16: Line 15:
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:todo:expand]]
[[Category:5-limit]]
[[Category:Interval]]
[[Category:Second]]
[[Category:Augmented second]]
[[Category:Meantone]]
[[Category:Meantone]]
[[Category:Pages with internal sound examples]]
{{todo|expand}}

Revision as of 06:27, 6 January 2022

Interval information
Ratio 75/64
Factorization 2-6 × 3 × 52
Monzo [-6 1 2
Size in cents 274.5824¢
Name classic augmented second
Color name yy2, yoyo 2nd
FJS name [math]\displaystyle{ \text{A2}^{25} }[/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