10:12:15:18: Difference between revisions

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{{Infobox Chord|10:12:15:18|ColorName=gu-7 or g7}}
{{Infobox Chord|10:12:15:18|ColorName=gu-7 or g7}}
'''10:12:15:18''' is a [[minor seventh chord]] found on the iii ({{Frac|5|4}}) and vi ({{Frac|5|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic. It is an [[anomalous saturated suspension]] in the [[9-odd-limit]].
'''10:12:15:18''', the ''just'', ''classical'', or ''ptolemaic minor seventh chord'', is a [[minor seventh chord]]. It is an [[anomalous saturated suspension]] in the [[9-odd-limit]]. It is found on the iii (5/4) and vi (5/3) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.  
 
{{Todo|inline=1|expand|add sound example}}  
{{Todo|inline=1|expand|add sound example}}  
== See also ==
== See also ==
Chords below are 5-limit unless noted.
Chords below are 5-limit unless noted.
* Its [[Chord homonym|homonym]] [[12:15:18:20]] (1/1–5/4–3⁄2–5/3), an [[added sixth chord]].
* Its [[chord homonym|homonym]] [[12:15:18:20]] (1–5/4–3/2–5/3), a [[major sixth chord]].
* [[12:14:18:21]] (7-limit) - Another anomalous saturated suspension in the 9-odd-limit
* [[12:14:18:21]] (7-limit) - Another anomalous saturated suspension in the 9-odd-limit


[[Category:Minor seventh chords|##]]
[[Category:Minor seventh chords|##]] <!-- 2-digit number -->

Revision as of 11:20, 24 January 2026

Chord information
Harmonics 10:12:15:18
Subharmonics 1/(18:15:12:10)
Intervals from root 1/16/53/29/5
Cents from root 316¢702¢1018¢
Step intervals 6/5, 5/4, 6/5
Step cents 316¢, 386¢, 316¢
Color name gu-7 or g7
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*, …

10:12:15:18, the just, classical, or ptolemaic minor seventh chord, is a minor seventh chord. It is an anomalous saturated suspension in the 9-odd-limit. It is found on the iii (5/4) and vi (5/3) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.

Todo: expand, add sound example

See also

Chords below are 5-limit unless noted.