16:20:25: Difference between revisions

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mention rotations that are enharmonic in augmented temperament
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'''16:20:25''' is an [[augmented triad]] found on the ♭II+ ({{Frac|16|15}}), ♭III+ ({{Frac|6|5}}) ♭VI+ ({{Frac|8|5}}), and ♭VII+ ({{Frac|9|5}}) of the [[duodene]].
'''16:20:25''' is an [[augmented triad]] found on the ♭II+ ({{Frac|16|15}}), ♭III+ ({{Frac|6|5}}) ♭VI+ ({{Frac|8|5}}), and ♭VII+ ({{Frac|9|5}}) of the [[duodene]].
In [[augmented (temperament)|augmented temperament]] (including [[12edo]]), it is enharmonic with its [[rotation|rotations]], [[20:25:32]] and [[25:32:40]].


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Revision as of 02:25, 23 August 2024

Chord information
Harmonics 16:20:25
Subharmonics 1/(25:20:16)
Intervals from root 1/1 – 5/4 – 25/16
Cents from root 0¢ 386¢ 773¢
Step intervals 5/4, 5/4
Step cents 386¢, 386¢
Prime limit 5
Genus 52 (25)
Intervallic odd limit 25
Otonal odd limit 25
Utonal odd limit 25
Consistent edos (d ≥ 2) 3edo**, 6edo*, 9edo*, 19edo*, …

16:20:25 is an augmented triad found on the ♭II+ (1615), ♭III+ (65) ♭VI+ (85), and ♭VII+ (95) of the duodene.

In augmented temperament (including 12edo), it is enharmonic with its rotations, 20:25:32 and 25:32:40.