User:Unque/Barbershop Tuning Theory: Difference between revisions

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|Purely theoretical. Seemingly unattested, despite ringing very well.

|}

'''See also:''' [[5afdo]] ~~and~~ [[8afdo]], the low-complexity JI scales from which several of these tunings are derived.

'''See also:''' [[5afdo]], [[8afdo]], and [[7ifdo]] the low-complexity JI scales from which several of these tunings are derived.

== Add-Nine Chords ==

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|Most likely conceptualized as tempered tuning, not 17-limit JI.

|}

'''See also:''' [[Kleisma|Kleismic]] and [[648/625|Diminished]], temperaments who provide essentially-tempered versions of the diminished tetrad.

== Dominant Diminished ==

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The only attested tuning of this chord seems to be permutations of 16:20:25, though it may be tempered to better approximate [[3edo|3-EDO]].

Alternatively, one of the ~~fifths~~ could theoretically be tuned a flat by a Magic Comma in order to add the more consonant 9/7 on top of the chord; while this is technically valid and rings very well, it is purely theoretical and not attested as a tuning of the Augmented triad in barbershop.

Alternatively, one of the thirds could theoretically be tuned a flat by a Magic Comma in order to add the more consonant 9/7 on top of the chord; while this is technically valid and rings very well, it is purely theoretical and not attested as a tuning of the Augmented triad in barbershop.

Some performers add the Dominant Seventh (9/5) or a Barbershop Seventh (7/4) over the top of an Augmented Triad, but this is usually used as a flourish and not considered a part of the chord.

@@ Line 70: / Line 70: @@
 |Purely theoretical.  Seemingly unattested, despite ringing very well.
 |}
-'''See also:''' [[5afdo]] and [[8afdo]], the low-complexity JI scales from which several of these tunings are derived.
+'''See also:''' [[5afdo]], [[8afdo]], and [[7ifdo]] the low-complexity JI scales from which several of these tunings are derived.
 == Add-Nine Chords ==
@@ Line 164: / Line 164: @@
 |Most likely conceptualized as tempered tuning, not 17-limit JI.
 |}
+'''See also:''' [[Kleisma|Kleismic]] and [[648/625|Diminished]], temperaments who provide essentially-tempered versions of the diminished tetrad.
 == Dominant Diminished ==
@@ Line 215: / Line 216: @@
 The only attested tuning of this chord seems to be permutations of 16:20:25, though it may be tempered to better approximate [[3edo|3-EDO]].
-Alternatively, one of the fifths could theoretically be tuned a flat by a Magic Comma in order to add the more consonant 9/7 on top of the chord; while this is technically valid and rings very well, it is purely theoretical and not attested as a tuning of the Augmented triad in barbershop.
+Alternatively, one of the thirds could theoretically be tuned a flat by a Magic Comma in order to add the more consonant 9/7 on top of the chord; while this is technically valid and rings very well, it is purely theoretical and not attested as a tuning of the Augmented triad in barbershop.
 Some performers add the Dominant Seventh (9/5) or a Barbershop Seventh (7/4) over the top of an Augmented Triad, but this is usually used as a flourish and not considered a part of the chord.