19/10: Difference between revisions

Interval information
Ratio	19/10
Subgroup monzo	2.5.19 [-1 -1 1⟩
Size in cents	1111.199¢
Names	undeviceismal diminished octave,; Eratosthenes' major seventh
Color name	19og8, nogu octave
FJS name	[math]\displaystyle{ \text{d8}^{19}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.56986
Weil norm (log2 max(n, d))	8.49586
Wilson norm (sopfr(nd))	26
	https://en.xen.wiki/w/File:Jid_19_10_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Revision as of 03:47, 15 December 2021

In 19-limit just intonation, 19/10 is the undevicesimal diminished octave, measuring about 1111.2¢. In the Functional Just System and Helmholtz-Ellis notation, it is a diminished octave, obtained by adding 81/80 and 513/512 to the Pythagorean diminished octave, but it may be called the Eratosthenes' major seventh as it is sharp of the Pythagorean major seventh (243/128) by 1216/1215, the password aka Eratosthenes' comma.

@@ Line 4: / Line 4: @@
 | Cents = 1111.19930
 | Name = undeviceismal diminished octave, <br>Eratosthenes' major seventh
-| Color name =
+| Color name = 19og8, nogu octave
 | FJS name = d8<sup>19</sup><sub>5</sub>
 | Sound = jid_19_10_pluck_adu_dr220.mp3
@@ Line 17: / Line 17: @@
 [[Category:Major seventh]]
 [[Category:Eratosthenes]]
+[[Category:Pages with internal sound examples]]