225/128: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

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

~~| Ratio = 225/128~~

| Color name = Lyy6, layoyo 6th

~~| Monzo = -7 2 2~~

~~| Cents = 976.53743~~

| Name = marvel ~~five~~-limit harmonic seventh ~~<br> Neapolitan augmented sixth~~

| Color name =

| Sound = jid_225_128_pluck_adu_dr220.mp3

}}

~~The~~ '''~~marvel five-limit harmonic seventh~~''' is the ~~interval~~ '''~~225/128~~'''~~. It~~ is the interval between the [[5-limit]] minor second, [[16/15]], and the major seventh, [[15/8]], ~~and~~, on account of this interval occurring in precisely this capacity in just Neapolitan scales~~, this interval can also be referred to as as the '''Neapolitan augmented sixth'''~~. 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. ~~Marvel tempering is a useful method of tempering~~ the 5-limit ~~to include septimal harmony, making two minor seconds a supermajor second, [[8/7]] and two major seconds into [[7/6]]~~.

'''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.

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'''.

== See also ==

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

* [[Gallery of just intervals]]

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

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

[[Category:Sixth]]

[[Category:~~Interval ratio]]~~

[[Category:Augmented sixth]]

~~[[Category:Seventh]]~~

~~[[Category:Minor seventh]]~~

~~[[Category:Listen]]~~

~~[[Category:Marvel]]~~

~~[[Category:Todo:add color name~~]]

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 {{Infobox Interval
-| Icon =
+| Name = diptolemaic augmented sixth, Neapolitan augmented sixth, marvel 5-limit harmonic seventh
-| Ratio = 225/128
+| Color name = Lyy6, layoyo 6th
-| Monzo = -7 2 2
-| Cents = 976.53743
-| Name = marvel five-limit harmonic seventh <br> Neapolitan augmented sixth
-| Color name =
 | Sound = jid_225_128_pluck_adu_dr220.mp3
 }}
-The '''marvel five-limit harmonic seventh''' is the interval '''225/128'''.  It is the interval between the [[5-limit]] minor second, [[16/15]], and the major seventh, [[15/8]], and, on account of this interval occurring in precisely this capacity in just Neapolitan scales, this interval can also be referred to as as the '''Neapolitan augmented sixth'''. 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. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8/7]] and two major seconds into [[7/6]].
+'''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.
+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'''.
 == See also ==
+* [[256/225]] – its [[octave complement]]
 * [[Gallery of just intervals]]
+* [[:File:Ji-225-128-csound-foscil-220hz.mp3]] – another sound example
-[[Category:5-limit]]
+[[Category:Sixth]]
-[[Category:Interval ratio]]
+[[Category:Augmented sixth]]
-[[Category:Seventh]]
-[[Category:Minor seventh]]
-[[Category:Listen]]
-[[Category:Marvel]]
-[[Category:Todo:add color name]]