108:135:160:192: Difference between revisions

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{{Infobox Chord}}
{{Infobox Chord|ColorName=yo add-7 yo-5 or y,7(y5)}}
'''108:135:160:192''' is a [[dominant seventh chord]] found on the dominant scale degree (V or {{Frac|3|2}}) 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]] ([[5-limit]]) major third with a [[16/9]] ([[3-limit]]) minor seventh, creating a [[64/45]] tritone between the two. Since each of the steps relates to at least one other by an interval in the [[9-odd-limit]], it is a 9-odd [[condissonant]] chord.
 
Because this chord contains a [[40/27]] ''grave fifth'' instead of a [[3/2]] ''perfect fifth'', it has more dissonance than would be present in the closely-related [[36:45:54:64]].
 
In [[meantone]] temperament, this chord is tempered to be the same as [[36:45:54:64]] and [[20:25:30:36]].
 
[[Category:Dominant seventh chords|###]] <!-- 3-digit first number -->

Latest revision as of 19:48, 24 September 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¢
Color name yo add-7 yo-5 or y,7(y5)
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 (5-limit) major third with a 16/9 (3-limit) minor seventh, creating a 64/45 tritone between the two. Since each of the steps relates to at least one other by an interval in the 9-odd-limit, it is a 9-odd condissonant chord.

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

In meantone temperament, this chord is tempered to be the same as 36:45:54:64 and 20:25:30:36.