25/16: Difference between revisions

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Added a possible additional name based on the ptolemaic major third and the relationship between ptolemaic intervals and pythagorean intervals
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
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{{Infobox Interval
{{Infobox Interval
| Name = classic(al) augmented fifth
| Name = classic(al) augmented fifth, diptolemaic augmented fifth
| Color name = yy5, yoyo 5th
| Color name = yy5, yoyo 5th
| Sound = jid_25_16_pluck_adu_dr220.mp3
| Sound = jid_25_16_pluck_adu_dr220.mp3
}}
}}


'''25/16''', the '''classic(al) augmented fifth''' or '''diptolemaic 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.
'''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]]
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[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Augmented fifth]]
[[Category:Augmented fifth]]
[[Category:todo:expand]]