729:864:1024: Difference between revisions

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mention 5-limit chords to which this one relates
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'''729:864:1024''' is a [[diminished triad]] found on the vii<sup>o</sup> of the [[3-limit]] [[5L 2s|diatonic]] scale.
'''729:864:1024''' is a [[diminished triad]] found on the vii<sup>o</sup> of the [[3-limit]] [[5L 2s|diatonic]] scale.
In [[meantone]] this chord is [[tempered together]] with [[45:54:64]], [[25:30:36]], and [[135:160:192]].


[[Category:Diminished triads|###]]
[[Category:Diminished triads|###]]

Revision as of 03:32, 31 August 2024

Chord information
Harmonics 729:864:1024
Subharmonics 1/(1024:864:729)
Intervals from root 1/1 – 32/27 – 1024/729
Cents from root 0¢ 294¢ 588¢
Step intervals 32/27, 32/27
Step cents 294¢, 294¢
Prime limit 3
Genus 36 (729)
Intervallic odd limit 729
Otonal odd limit 729
Utonal odd limit 729
Consistent edos (d ≥ 2) 4edo***, 8edo**, 12edo**, 16edo*, …

729:864:1024 is a diminished triad found on the viio of the 3-limit diatonic scale.

In meantone this chord is tempered together with 45:54:64, 25:30:36, and 135:160:192.