576:729:864:1024: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Bcmills (talk | contribs)
mNo edit summary
Bcmills (talk | contribs)
reduce “Pythagorean” jargon
Line 1: Line 1:
{{Infobox Chord|576:729:864:1024|Name=Pythagorean dominant seventh}}
{{Infobox Chord|576:729:864:1024}}
'''576:729:864:1024''', the ''Pythagorean dominant seventh chord'', is a [[3-limit]] [[dominant seventh chord]] found on the dominant scale degree (V or {{Frac|3|2}}) of the [[Pythagorean tuning|Pythagorean]] [[5L 2s|diatonic]] scale.
'''576:729:864:1024''' is a [[dominant seventh chord]] found on the dominant scale degree (V or {{Frac|3|2}}) of the [[3-limit]] [[5L 2s|diatonic]] scale.


It may be considered a 3-limit approximation of [[36:45:54:64]]: it is found on the same degree of the diatonic scale, and tempers (only) the third by [[81/80]].
It may be considered a 3-limit approximation of [[36:45:54:64]]: it is found on the same degree of the diatonic scale, and tempers (only) the third by [[81/80]].


[[Category:Dominant seventh chords|###]] <!-- 3-digit first number -->
[[Category:Dominant seventh chords|###]] <!-- 3-digit first number -->

Revision as of 03:03, 28 August 2024

Chord information
Harmonics 576:729:864:1024
Subharmonics 1/(1296:1024:864:729)
Intervals from root 1/181/643/216/9
Cents from root 408¢702¢996¢
Step intervals 81/64, 32/27, 32/27
Step cents 408¢, 294¢, 294¢
Prime limit 3
Genus 36 (729)
Intervallic odd limit 729
Otonal odd limit 729
Utonal odd limit 729
Consistent edos (d ≥ 2) 12edo**, 24edo*, 29edo*, 41edo**, …

576:729:864:1024 is a dominant seventh chord found on the dominant scale degree (V or 32) of the 3-limit diatonic scale.

It may be considered a 3-limit approximation of 36:45:54:64: it is found on the same degree of the diatonic scale, and tempers (only) the third by 81/80.