12:15:18:20

Revision as of 15:21, 12 August 2024 by Bcmills (talk | contribs) (deemphasize ASS property; structure consistent with other JI chord pages)

12:15:18:20 (1⁄1–5⁄4–3⁄2–5⁄3) is an added sixth chord in the 5-limit, with steps 5/4, 6/5, and 10/9. It can also be voiced as 10:12:15:18 (1⁄1–6⁄5–3⁄2–9⁄5), in which form it can be called a minor seventh chord.

Chord information
Harmonics 12:15:18:20
Subharmonics 1/(15:12:10:9)
Intervals from root 1/15/43/25/3
Cents from root 386¢702¢884¢
Step intervals 5/4, 6/5, 10/9
Step cents 386¢, 316¢, 182¢
Prime limit 5
Genus 325 (45)
Intervallic odd limit 9
Otonal odd limit 15
Utonal odd limit 15
Consistent edos (d ≥ 2) 12edo*, 19edo**, 34edo*, 38edo*, …

In the 9-odd-limit, the chord is an anomalous saturated suspension.