192/125: Difference between revisions

Interval information
Ratio	192/125
Factorization	26 × 3 × 5-3
Monzo	[6 1 -3⟩
Size in cents	743.0139¢
Names	classic(al) diminished sixth,; triptolemaic diminished sixth
Color name	g36, trigu 6th
FJS name	[math]\displaystyle{ \text{d6}_{5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	14.5507
Weil norm (log2 max(n, d))	15.1699
Wilson norm (sopfr(nd))	30
	Open this interval in xen-calc

Latest revision as of 06:37, 13 July 2023

192/125, the classic(al) diminished sixth or triptolemaic diminished sixth, is a 5-limit interval of about 743 ¢. It is the classical minor sixth (8/5) flattened by the classical chroma (25/24), so it keeps the term classical. It is also the Pythagorean diminished sixth (262144/177147) sharpened by three syntonic commas, which lends itself to the term triptolemaic.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = classic diminished sixth
+| Name = classic(al) diminished sixth, triptolemaic diminished sixth
 | Color name = g<sup>3</sup>6, trigu 6th
 }}
-'''192/125''', the '''classic diminished sixth''', is a [[5-limit]] [[interval]] of about 743{{cent}}.
+'''192/125''', the '''classic(al) diminished sixth''' or '''triptolemaic diminished sixth''', is a [[5-limit]] [[interval]] of about 743{{cent}}. It is the [[8/5|classical minor sixth (8/5)]] flattened by the [[25/24|classical chroma (25/24)]], so it keeps the term ''classical''. It is also the [[262144/177147|Pythagorean diminished sixth (262144/177147)]] sharpened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.
 == See also ==