768/625: Difference between revisions

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{{Infobox Interval

| Name = (greater) pental neutral third, double-diminished fourth

| Name = (greater) pental neutral third, tetraptolemaic double-diminished fourth

| Color name = quadgu 4th, g^44

| Sound = audacity_pluck_768_625.wav

}}

'''768/625''', the '''(greater) pental neutral third''' or '''double-diminished fourth''' is a [[~~128~~/~~125~~|~~diesis~~]] ~~sharp~~ of [[6/5]], 6912/6875 sharp of [[11/9]], and [[5632/5625]] sharp of [[27/22]]. It is ~~also~~ [[625/624]] flat of [[16/13]].

'''768/625''', the '''(greater) pental neutral third''' or '''tetraptolemaic double-diminished fourth''' is a [[5-limit]] [[interval]] of about 356.7 [[cent]]s. It is sharp of the Pythagorean double-diminished fourth by four [[81/80|syntonic comma]]s. Equivalently, it is equal to a [[3/2|fifth]] minus an [[octave reduction|octave-reduced]] stack of four [[5/4|classical major thirds]], or equal to a [[6/5|classical minor third]] plus a [[128/125|diesis]]. In the 11-limit it is 6912/6875 sharp of [[11/9]], and [[5632/5625]] sharp of [[27/22]]. In the 13-limit it is [[625/624]] flat of [[16/13]].

== See also ==

* [[625/512]] - its [[fifth complement]]

* [[625/384]] – its [[octave complement]]

* [[625/512]] – its [[fifth complement]]

* [[24edo]]

* [[Iceface tuning]]

[[Category:Third]]

[[Category:Fourth]]

[[Category:Neutral third]]

[[Category:Diminished fourth]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = (greater) pental neutral third, double-diminished fourth
+| Name = (greater) pental neutral third, tetraptolemaic double-diminished fourth
 | Color name = quadgu 4th, g^44
 | Sound = audacity_pluck_768_625.wav
 }}
-'''768/625''', the '''(greater) pental neutral third''' or '''double-diminished fourth''' is a [[128/125|diesis]] sharp of [[6/5]], 6912/6875 sharp of [[11/9]], and [[5632/5625]] sharp of [[27/22]]. It is also [[625/624]] flat of [[16/13]].
+'''768/625''', the '''(greater) pental neutral third''' or '''tetraptolemaic double-diminished fourth''' is a [[5-limit]] [[interval]] of about 356.7 [[cent]]s. It is sharp of the Pythagorean double-diminished fourth by four [[81/80|syntonic comma]]s. Equivalently, it is equal to a [[3/2|fifth]] minus an [[octave reduction|octave-reduced]] stack of four [[5/4|classical major thirds]], or equal to a [[6/5|classical minor third]] plus a [[128/125|diesis]]. In the 11-limit it is 6912/6875 sharp of [[11/9]], and [[5632/5625]] sharp of [[27/22]]. In the 13-limit it is [[625/624]] flat of [[16/13]].
 == See also ==
-* [[625/512]] - its [[fifth complement]]
+* [[625/384]] – its [[octave complement]]
+* [[625/512]] – its [[fifth complement]]
 * [[24edo]]
 * [[Iceface tuning]]
 [[Category:Third]]
 [[Category:Fourth]]
 [[Category:Neutral third]]
 [[Category:Diminished fourth]]