59/32: Difference between revisions

Interval information
Ratio	59/32
Subgroup monzo	2.59 [-5 1⟩
Size in cents	1059.172¢
Name	octave-reduced 59th harmonic
Color name	59o7, fino seventh
FJS name	[math]\displaystyle{ \text{M7}^{59} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	10.8826
Weil norm (log2 max(n, d))	11.7653
Wilson norm (sopfr(nd))	69
	https://en.xen.wiki/w/File:Ji-59-32-csound-foscil-220hz.mp3; [sound info]
	Open this interval in xen-calc

Latest revision as of 07:41, 3 January 2025

59/32 is the octave-reduced 59th harmonic. It is sharp of the Pythagorean minor seventh (16/9) by 531/512, and flat of the Pythagorean major seventh (243/128) by 243/236.

This interval is close to the 17edo interval of 1058.82 cents.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 59/32
-| Monzo = -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
-| Cents = 1059.17165923
 | Name = octave-reduced 59th harmonic
 | Color name = 59o7, fino seventh
@@ Line 8: / Line 5: @@
 }}
-'''59/32''' is the [[Octave reduction|octave-reduced]] 59th [[harmonic]]. It is close to the [[17edo]] interval of 1058.82 cents.
+'''59/32''' is the [[octave reduction|octave-reduced]] 59th [[harmonic]]. It is sharp of the [[16/9|Pythagorean minor seventh (16/9)]] by [[531/512]], and flat of the [[243/128|Pythagorean major seventh (243/128)]] by [[243/236]].
+== Approximation ==
+This interval is close to the [[17edo]] interval of 1058.82 cents.
-[[Category:59-limit]]
 [[Category:Seventh]]
 [[Category:Neutral seventh]]
-[[Category:Octave-reduced harmonics]]
-{{todo|expand}}