108:135:160:192: Difference between revisions

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'''108:135:160:192''' is a [[dominant seventh chord]] found on the dominant scale degree (~~3⁄2~~ or V) 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.

'''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.

~~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~~]].

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]].

[[Category:Dominant seventh chords]]

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|###]]

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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 (3⁄2 or V) 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.
+'''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.
-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]].
+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]].
-[[Category:Dominant seventh chords]]
+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 -->