108:135:160:192: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Bcmills (talk | contribs)
No edit summary
Bcmills (talk | contribs)
mNo edit summary
Line 4: Line 4:
Since it contains a [[40/27]] ''grave fifth'' instead of a [[3/2]] ''perfect fifth'', this chord has more dissonance than would be present in the closely-related Ptolemaic dominant seventh chord ([[36:45:54:64]]).
Since it contains a [[40/27]] ''grave fifth'' instead of a [[3/2]] ''perfect fifth'', this chord has more dissonance than would be present in the closely-related Ptolemaic dominant seventh chord ([[36:45:54:64]]).


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

Revision as of 04:26, 20 August 2024

Chord information
Harmonics 108:135:160:192
Subharmonics 1/(80:64:54:45)
Intervals from root 1/1 – 5/4 – 40/27 – 16/9
Cents from root 0¢ 386¢ 680¢ 996¢
Step intervals 5/4, 32/27, 6/5
Step cents 386¢, 294¢, 316¢
Prime limit 5
Genus 33 ⋅ 5 (135)
Intervallic odd limit 45
Otonal odd limit 135
Utonal odd limit 45
Consistent edos (d ≥ 2) 12edo*, 41edo*, 53edo**, 65edo*

108:135:160:192 is a dominant seventh chord found on the dominant scale degree (V or 32) of a diatonic scale with the second degree tuned a comma lower than in Zarlino (10/9 instead of 9/8), such as in left-handed nicetone. It combines a 5/4 major third with a 16/9 Pythagorean minor seventh, creating a 64/45 tritone between the two.

Since it contains a 40/27 grave fifth instead of a 3/2 perfect fifth, this chord has more dissonance than would be present in the closely-related Ptolemaic dominant seventh chord (36:45:54:64).