225/128: Difference between revisions

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~~'''225/128'''~~

{{Infobox Interval

|-~~7 2 2>~~

| Name = diptolemaic augmented sixth, Neapolitan augmented sixth, marvel 5-limit harmonic seventh

| Color name = Lyy6, layoyo 6th

| Sound = jid_225_128_pluck_adu_dr220.mp3

}}

~~976~~.~~5374 cents~~

'''225/128''', the '''diptolemaic augmented sixth''' or '''Neapolitan augmented sixth''', is the interval between the [[5-limit]] minor second, [[16/15]], and the major seventh, [[15/8]]. It is flat of the [[59049/32768|Pythagorean augmented sixth]] by two syntonic commas, hence the first name, whereas the second name comes on account of this interval occurring in precisely this capacity in just Neapolitan scales.

[[~~File:jid_225_128_pluck_adu_dr220.mp3~~]] [[~~:File:jid_225_128_pluck_adu_dr220.mp3|sound sample~~]]

It is a marvel comma, [[225/224]], sharp of the harmonic seventh, [[7/4]], and so [[tempering out]] 225/224, which is [[marvel]] temperament, equates the two. As such, it can also be called the '''marvel 5-limit harmonic seventh'''.

~~The marvel five-limit harmonic seventh, 225/128, is the interval between the~~ [[~~5-limit|5-limit~~]] ~~minor second,~~ [[~~16/15|16/15~~]]~~, and the major second,~~ [[~~15/8|15/8~~]]~~. It is a marvel comma, 225/224, sharp of the harmonic seventh,~~ [[~~7/4|7/4]], and so tempering out~~ 225~~/224, which is [[Marvel|marvel~~]] ~~temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second,~~ [[~~8/7|8/7~~]] ~~and two major seconds into~~ [[~~7/6|7/6~~]].

== See also ==

* [[256/225]] – its [[octave complement]]

* [[Gallery of just intervals]]

* [[:File:Ji-225-128-csound-foscil-220hz.mp3]] – another sound example

[[Category:Sixth]]

[[Category:Augmented sixth]]

@@ Line 1: / Line 1: @@
-'''225/128'''
+{{Infobox Interval
-|-7 2 2&gt;
+| Name = diptolemaic augmented sixth, Neapolitan augmented sixth, marvel 5-limit harmonic seventh
+| Color name = Lyy6, layoyo 6th
+| Sound = jid_225_128_pluck_adu_dr220.mp3
+}}
-.5374 cents
+'''225/128''', the '''diptolemaic augmented sixth''' or '''Neapolitan augmented sixth''', is the interval between the [[5-limit]] minor second, [[16/15]], and the major seventh, [[15/8]]. It is flat of the [[59049/32768|Pythagorean augmented sixth]] by two syntonic commas, hence the first name, whereas the second name comes on account of this interval occurring in precisely this capacity in just Neapolitan scales.
-[[File:jid_225_128_pluck_adu_dr220.mp3]] [[:File:jid_225_128_pluck_adu_dr220.mp3|sound sample]]
+It is a marvel comma, [[225/224]], sharp of the harmonic seventh, [[7/4]], and so [[tempering out]] 225/224, which is [[marvel]] temperament, equates the two. As such, it can also be called the '''marvel 5-limit harmonic seventh'''.
-The marvel five-limit harmonic seventh, 225/128, is the interval between the [[5-limit|5-limit]] minor second, [[16/15|16/15]], and the major second, [[15/8|15/8]]. It is a marvel comma, 225/224, sharp of the harmonic seventh, [[7/4|7/4]], and so tempering out 225/224, which is [[Marvel|marvel]] temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8/7|8/7]] and two major seconds into [[7/6|7/6]].
+== See also ==
+* [[256/225]] – its [[octave complement]]
+* [[Gallery of just intervals]]
+* [[:File:Ji-225-128-csound-foscil-220hz.mp3]] – another sound example
+[[Category:Sixth]]
+[[Category:Augmented sixth]]