25/16: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Name = classic(al) augmented fifth, diptolemaic augmented fifth

~~| Ratio = 25/16~~

| Color name = yy5, yoyo 5th

~~| Monzo = -4 0 2~~

~~| Cents = 772.62743~~

| Name = classic (~~5-limit~~) augmented fifth

| Color name =

~~| FJS name =~~

| Sound = jid_25_16_pluck_adu_dr220.mp3

}}

'''25/16''' is the classic ([[5~~-limit~~]]~~) augmented fifth~~.

'''25/16''', the '''classic(al) augmented fifth''' is the interval obtained by stacking two [[5/4]] major thirds, however, it gains additional [[isoharmonic chord|isoharmonic]] identity from its position between [[11/8]] and [[7/4]], so it can frequently be used in conjunction with those, even in chords.

[~~[Category~~:~~Overtone~~]]

While this interval has been referred to as the ''classic augmented fifth'' or ''classical augmented fifth'' for some time, the term ''diptolemaic'' [https://discord.com/channels/332357996569034752/516067802864549890/912167264789364736 was coined on Discord] by [[Flora Canou]] while discussing a proposal for a consistent naming scheme for different 5-limit intervals with [[Aura]]. Specifically, since "diptolemaic" intervals have two instances of prime 5 in their factorization, this interval is also referred to as the '''diptolemaic augmented fifth'''.

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

== Approximation ==

[[~~Category:Just interval~~]]

== See also ==

* [[32/25]] – its [[octave complement]]

[[Category:~~todo~~:~~expand~~]]

[[Category:Fifth]]

[[Category:Augmented fifth]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
+| Name = classic(al) augmented fifth, diptolemaic augmented fifth
-| Ratio = 25/16
+| Color name = yy5, yoyo 5th
-| Monzo = -4 0 2
-| Cents = 772.62743
-| Name = classic (5-limit) augmented fifth
-| Color name =
-| FJS name =
 | Sound = jid_25_16_pluck_adu_dr220.mp3
 }}
-'''25/16''' is the classic ([[5-limit]]) augmented fifth.
+'''25/16''', the '''classic(al) augmented fifth''' is the interval obtained by stacking two [[5/4]] major thirds, however, it gains additional [[isoharmonic chord|isoharmonic]] identity from its position between [[11/8]] and [[7/4]], so it can frequently be used in conjunction with those, even in chords.
-[[Category:Overtone]]
+While this interval has been referred to as the ''classic augmented fifth'' or ''classical augmented fifth'' for some time, the term ''diptolemaic'' [https://discord.com/channels/332357996569034752/516067802864549890/912167264789364736 was coined on Discord] by [[Flora Canou]] while discussing a proposal for a consistent naming scheme for different 5-limit intervals with [[Aura]]. Specifically, since "diptolemaic" intervals have two instances of prime 5 in their factorization, this interval is also referred to as the '''diptolemaic augmented fifth'''.
-[[Category:5-limit]]
+== Approximation ==
-[[Category:Just interval]]
+{{Interval edo approximation|25/16}}
+== See also ==
+* [[32/25]] – its [[octave complement]]
-[[Category:todo:expand]]
+[[Category:Fifth]]
+[[Category:Augmented fifth]]