36:45:54:64: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Bcmills (talk | contribs)
m Bcmills moved page Ptolemaic dominant seventh chord to 36:45:54:64 over redirect
Bcmills (talk | contribs)
No edit summary
Line 1: Line 1:
{{Infobox Chord|36:45:54:64|Name=Ptolemaic dominant seventh}}
{{Infobox Chord|36:45:54:64|Name=Ptolemaic dominant seventh}}


The '''Ptolemaic dominant seventh chord''', 36:45:54:64 or 1⁄1–5⁄4–3⁄2–16⁄9, is a [[dominant seventh chord]] found on the dominant scale degree ([[3/2|3⁄2]] or V) of [[Zarlino|Ptolemy's intense diatonic scale (Zarlino)]], perhaps the most common 5-limit diatonic. It combines a [[5/4]] major third with a [[16/9]] Pythagorean minor seventh, creating a [[64/45]] tritone between the two.
'''36:45:54:64''' (or 1⁄1–5⁄4–3⁄2–16⁄9) is a [[dominant seventh chord]] found on the dominant scale degree ([[3/2|3⁄2]] or V) of [[Zarlino|Ptolemy's intense diatonic scale (Zarlino)]], perhaps the most common 5-limit diatonic. It combines a [[5/4]] major third with a [[16/9]] Pythagorean minor seventh, creating a [[64/45]] tritone between the two.


[[Category:Dominant seventh chords]]
[[Category:Dominant seventh chords]]

Revision as of 14:13, 12 August 2024

Chord information
Harmonics 36:45:54:64
Subharmonics 1/(240:192:160:135)
Intervals from root 1/15/43/216/9
Cents from root 386¢702¢996¢
Step intervals 5/4, 6/5, 32/27
Step cents 386¢, 316¢, 294¢
Prime limit 5
Genus 335 (135)
Intervallic odd limit 45
Otonal odd limit 45
Utonal odd limit 135
Consistent edos (d ≥ 2) 12edo*, 41edo*, 53edo**, 65edo**

36:45:54:64 (or 1⁄1–5⁄4–3⁄2–16⁄9) is a dominant seventh chord found on the dominant scale degree (3⁄2 or V) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. It combines a 5/4 major third with a 16/9 Pythagorean minor seventh, creating a 64/45 tritone between the two.