25/16: Difference between revisions

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{{Infobox Interval
{{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 augmented fifth
| Color name =  
| FJS name = A5<sup>25</sup>
| Sound = jid_25_16_pluck_adu_dr220.mp3
| Sound = jid_25_16_pluck_adu_dr220.mp3
}}
}}


'''25/16''' the '''classic augmented fifth''', is the interval obtained by stacking two [[5/4]] major thirds.
'''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.  


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 ==
== See also ==
* [[32/25]] – its [[octave complement]]
* [[32/25]] – its [[octave complement]]


[[Category:Overtone]]
[[Category:Fifth]]
[[Category:5-limit]]
[[Category:Augmented fifth]]
[[Category:Just interval]]
 
[[Category:todo:expand]]