12:15:18:20: Difference between revisions

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m Bcmills moved page Just added sixth chord to 12:15:18:20 over redirect: Moving chord-specific pages to consistent names
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Revision as of 14:28, 12 August 2024

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*, …

The just added sixth chord is a 5-prime-limit, 9-odd-limit chord of just intonation which is an "ASS", or anomalous saturated suspension. In close position, it is 12:15:18:20 (1⁄1–5⁄4–3⁄2–5⁄3), 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 just minor seventh chord.