25/16: Difference between revisions

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~~'''25/16'''~~

{{Infobox Interval

|~~-4 0 2>~~

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

| Color name = yy5, yoyo 5th

| Sound = jid_25_16_pluck_adu_dr220.mp3

}}

~~772~~.~~6274 cents~~

'''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.

[~~[File~~:~~jid_25_16_pluck_adu_dr220~~.~~mp3~~]] [[~~:File:jid_25_16_pluck_adu_dr220~~.~~mp3~~|~~sound sample~~]]

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'''.

== Approximation ==

== See also ==

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

~~The classic (~~[[~~5-limit|5-limit~~]]~~) augmented fifth.~~

[[Category:Fifth]]

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

[[Category:Augmented fifth]]

@@ Line 1: / Line 1: @@
-'''25/16'''
+{{Infobox Interval
-|-4 0 2&gt;
+| Name = classic(al) augmented fifth, diptolemaic augmented fifth
+| Color name = yy5, yoyo 5th
+| Sound = jid_25_16_pluck_adu_dr220.mp3
+}}
-.6274 cents
+'''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.
-[[File:jid_25_16_pluck_adu_dr220.mp3]] [[:File:jid_25_16_pluck_adu_dr220.mp3|sound sample]]
+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'''.
+== Approximation ==
+{{Interval edo approximation|25/16}}
+== See also ==
+* [[32/25]] – its [[octave complement]]
-The classic ([[5-limit|5-limit]]) augmented fifth.
+[[Category:Fifth]]
-[[Category:todo:expand]]
+[[Category:Augmented fifth]]