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
Bcmills (talk | contribs)
deemphasize ASS property; structure consistent with other JI chord pages
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{{Infobox Chord|12:15:18:20}}
{{Infobox Chord|12:15:18:20}}
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.
'''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]].
 
In the [[9-odd-limit]], the chord is an [[anomalous saturated suspension]].


[[Category:Dyadic chords]]
[[Category:Dyadic chords]]
[[Category:ASS]]

Revision as of 15:21, 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*, …

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.

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