125/72: Difference between revisions

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{{Infobox Interval

~~| Ratio = 125/72~~

| Name = classic(al) augmented sixth, triptolemaic augmented sixth

~~| Monzo = -3 -2 3~~

| Color name = y<sup>3</sup>6, triyo 6th

~~| Cents = 955.03114~~

| Name = classic augmented sixth

| Color name =

~~| FJS name = A6~~<sup>~~125~~</sup>

| Sound = jid_125_72_pluck_adu_dr220.mp3

}}

'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955 [[cent]]. It can be obtained by ~~adding~~ [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].

'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955{{cent}}. It can be obtained by widening [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.

In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].

== Approximation ==

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* [[Gallery of just intervals]]

~~[[Category:5-limit]]~~

[[Category:Sixth]]

[[Category:Augmented sixth]]

[[Category:Interseptimal]]

[[Category:Interseptimal intervals]]

[[Category:Semitwelfth]]

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 {{Infobox Interval
-| Ratio = 125/72
+| Name = classic(al) augmented sixth, triptolemaic augmented sixth
-| Monzo = -3 -2 3
+| Color name = y<sup>3</sup>6, triyo 6th
-| Cents = 955.03114
-| Name = classic augmented sixth
-| Color name =
-| FJS name = A6<sup>125</sup>
 | Sound = jid_125_72_pluck_adu_dr220.mp3
 }}
-'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955 [[cent]]. It can be obtained by adding [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].
+'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955{{cent}}. It can be obtained by widening [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.
+In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].
 == Approximation ==
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 * [[Gallery of just intervals]]
-[[Category:5-limit]]
 [[Category:Sixth]]
 [[Category:Augmented sixth]]
-[[Category:Interseptimal]]
+[[Category:Interseptimal intervals]]
 [[Category:Semitwelfth]]