45:54:64: Difference between revisions

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{{Infobox Chord}}
{{Infobox Chord}}


'''45:54:64''' is a 5-limit [[diminished triad]] found on the vii<sup>o</sup> ({{Frac|45|32}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic. Its [[64/45]] diminished fifth is formed by a [[32/27]] ''Pythagorean minor third'' on top of a [[6/5]] ''Ptolemaic minor third''.
'''45:54:64''' is a 5-limit [[diminished triad]] found on vii<sup>o</sup> ({{Frac|45|32}}) in Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic. Its [[64/45]] diminished fifth is formed by a [[32/27]] ''Pythagorean minor third'' on top of a [[6/5]] ''Ptolemaic minor third''.


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

Revision as of 14:41, 19 August 2024

Chord information
Harmonics 45:54:64
Subharmonics 1/(192:160:135)
Intervals from root 1/1–6/5–64/45
Cents from root 0¢–316¢–610¢
Step intervals 6/5, 32/27
Step cents 316¢, 294¢
Prime limit 5
Genus 33⋅5 (135)
Intervallic odd limit 45
Otonal odd limit 45
Utonal odd limit 135
Consistent edos (d ≥ 2) 4edo***, 8edo**, 12edo*, 16edo*, …

45:54:64 is a 5-limit diminished triad found on viio (45⁄32) in Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. Its 64/45 diminished fifth is formed by a 32/27 Pythagorean minor third on top of a 6/5 Ptolemaic minor third.

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