12:15:19

Revision as of 16:34, 27 July 2026 by DesertFreeze (talk | contribs) (Created page with "{{Infobox chord}} '''12:15:19''', the novemdecimal augmented triad, is the best approximation of the western augmented triad within the 19-odd-limit. The highest error within the chord is a mere 14 cents (by the 5/4 major third), making it very close to 12edo. Additionally, its augmented fifth is 19/18 away from the 3/2 perfect fifth in the 4:5:6 major triad, making it an option for satisfying resolution in JI.")
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12:15:19, the novemdecimal augmented triad, is the best approximation of the western augmented triad within the 19-odd-limit. The highest error within the chord is a mere 14 cents (by the 5/4 major third), making it very close to 12edo. Additionally, its augmented fifth is 19/18 away from the 3/2 perfect fifth in the 4:5:6 major triad, making it an option for satisfying resolution in JI.

Chord information
Harmonics 12:15:19
Subharmonics 1/(95:76:60)
Intervals from root 1/15/419/12
Cents from root 386¢796¢
Step intervals 5/4, 19/15
Step cents 386¢, 409¢
Prime limit 19
Genus 3519 (285)
Intervallic odd limit 19
Otonal odd limit 19
Utonal odd limit 95
Consistent edos (d ≥ 2) 3edo***, 6edo**, 9edo**, 12edo*, …