12:14:18:21: Difference between revisions

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Bcmills (talk | contribs)
remove redundant category: Dyadic chords
Bcmills (talk | contribs)
Remove “Swiss” appellations; this chord seems to be a septimal minor seventh, full stop. (For an actual Swiss sixth, see 256:320:375:450.)
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{{Infobox Chord|12:14:18:21|Name=Swiss tetrad}}
{{Infobox Chord|Name=subminor seventh,septimal minor seventh}}
The '''swiss tetrad''' is a just 7-prime-limit, 9-odd-limit chord which is an [[anomalous saturated suspension]]. In close position, it is [[unison|1]]-[[7/6]]-[[3/2]]-[[7/4]] (12:14:18:21), with steps 7/6-9/7-7/6-8/7. Tempered versions of it have been called "subminor seventh chords" or "swiss sixth chords", so "swiss tetrad" splits the difference.
'''12:14:18:21''', a ''subminor seventh chord'' or ''septimal minor seventh chord'', is an [[anomalous saturated suspension]] in the [[9-odd-limit]].


<!-- Note: This was at one point labeled a “Swiss tetrad”, seemingly due to a mistaken identification of the “Swiss sixth chord”. [[User:Bcmills]] doesn't see how it would actually relate to the Swiss sixth, which can be represented in 5-limit JI as [[256:320:375:450]] and seems closer to a dominant seventh than a subminor one. -->
{| class="wikitable center-all" style="column-width:10em"
{| class="wikitable center-all" style="column-width:10em"
! Ratio
! Ratio
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[[Category:Tetrads]]
[[Category:Tetrads]]
[[Category:Listen]]
[[Category:Listen]]
[[Category:Minor seventh chords]]

Revision as of 03:21, 15 August 2024

Chord information
Harmonics 12:14:18:21
Subharmonics 1/(21:18:14:12)
Intervals from root 1/1–7/6–3/2–7/4
Cents from root 0¢–267¢–702¢–969¢
Step intervals 7/6, 9/7, 7/6
Step cents 267¢, 435¢, 267¢
Prime limit 7
Genus 32⋅7 (63)
Intervallic odd limit 9
Otonal odd limit 21
Utonal odd limit 21
Consistent edos (d ≥ 2) 5edo*, 22edo*, 27edo*, 31edo*, …

12:14:18:21, a subminor seventh chord or septimal minor seventh chord, is an anomalous saturated suspension in the 9-odd-limit.

Ratio 1/1 7/6 3/2 7/4
Cents 0.00 266.87 701.96 968.83
Sound
[info]