28/15: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = septimal grave major seventh, aberschismic diminished octave

~~| Ratio = 28/15~~

| Color name = zg8, zogu octave

~~| Monzo = 2 -1 -1 1~~

~~| Cents = 1080.55719~~

| Name = septimal ~~diatonic~~ major seventh

| Color name =

~~| FJS name = d8<sup>7</sup><sub>5</sub>~~

| Sound = jid_28_15_pluck_adu_dr220.mp3

}}

'''28/15''' is an interval in [[7-limit]] [[just intonation]] measuring about 1080.6 [[cent]]s, traditionally known as the '''septimal grave major seventh''' for its proximity (and conflation in [[marvel]] tunings such as septimal [[meantone]]) with the classical major seventh [[15/8]]. However, it functions as a diminished octave, as is supported by [[Sagittal notation]], [[Helmholtz–Ellis notation]] and the [[Functional Just System]], viewed as the [[4096/2187|Pythagorean diminished octave]] flattened by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic diminished octave'''. It arises from stacking various [[9-odd-limit]] consonances, including the stack consisting of [[6/5]] and [[14/9]], of [[7/6]] and [[8/5]], and of [[7/5]] and [[4/3]].

~~'''28/15''', the '''septimal diatonic major seventh''',~~ is a [[~~7-limit~~]] ~~just interval of about 1080.6 [[cent]]s~~.

== Approximation ==

This interval is well approximated by [[10edo]] (9\10).

== See also ==

* [[15/14]] – its [[octave complement]]

* [[Gallery of just intervals]]

* [[15/14]] – its [[octave complement]]

* [[10edo]] has a good approximation

~~[[Category:7-limit]]~~

~~[[Category:Interval ratio]]~~

~~[[Category:Listen]]~~

[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:Octave]]

[[Category:~~Todo:expand~~]]

[[Category:Diminished octave]]

[[Category:~~Todo:improve synopsis]]~~

~~[[Category:Todo:add color name~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = septimal grave major seventh, aberschismic diminished octave
-| Ratio = 28/15
+| Color name = zg8, zogu octave
-| Monzo = 2 -1 -1 1
-| Cents = 1080.55719
-| Name = septimal diatonic major seventh
-| Color name =
-| FJS name = d8<sup>7</sup><sub>5</sub>
 | Sound = jid_28_15_pluck_adu_dr220.mp3
 }}
+'''28/15''' is an interval in [[7-limit]] [[just intonation]] measuring about 1080.6 [[cent]]s, traditionally known as the '''septimal grave major seventh''' for its proximity (and conflation in [[marvel]] tunings such as septimal [[meantone]]) with the classical major seventh [[15/8]]. However, it functions as a diminished octave, as is supported by [[Sagittal notation]], [[Helmholtz–Ellis notation]] and the [[Functional Just System]], viewed as the [[4096/2187|Pythagorean diminished octave]] flattened by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic diminished octave'''. It arises from stacking various [[9-odd-limit]] consonances, including the stack consisting of [[6/5]] and [[14/9]], of [[7/6]] and [[8/5]], and of [[7/5]] and [[4/3]].
-'''28/15''', the '''septimal diatonic major seventh''', is a [[7-limit]] just interval of about 1080.6 [[cent]]s.
+== Approximation ==
+This interval is well approximated by [[10edo]] (9\10).
+{{Interval edo approximation|28/15}}
 == See also ==
+* [[15/14]] – its [[octave complement]]
 * [[Gallery of just intervals]]
-* [[15/14]] – its [[octave complement]]
-* [[10edo]] has a good approximation
-[[Category:7-limit]]
-[[Category:Interval ratio]]
-[[Category:Listen]]
 [[Category:Seventh]]
 [[Category:Major seventh]]
+[[Category:Octave]]
-[[Category:Todo:expand]]
+[[Category:Diminished octave]]
-[[Category:Todo:improve synopsis]]
-[[Category:Todo:add color name]]