28/15: Difference between revisions

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{{Infobox Interval

| Name = septimal grave major seventh

| Name = septimal grave major seventh, aberschismic diminished octave

| Color name = zg8, zogu octave

| 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''' is a [[7-limit]] [[just intonation]]~~ interval ~~of about 1080.6 [[cent]]s. It~~ is well approximated by [[10edo]] (9\10).

== Approximation ==

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

~~== Terminology ==~~

~~Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians,~~ 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].

== See also ==

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[[Category:Octave]]

[[Category:Diminished octave]]

~~{{todo| expand | improve synopsis }}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = septimal grave major seventh
+| Name = septimal grave major seventh, aberschismic diminished octave
 | Color name = zg8, zogu octave
 | 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''' is a [[7-limit]] [[just intonation]] interval of about 1080.6 [[cent]]s. It is well approximated by [[10edo]] (9\10).
+== Approximation ==
+This interval is well approximated by [[10edo]] (9\10).
-== Terminology ==
+{{Interval edo approximation|28/15}}
-Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].
 == See also ==
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 [[Category:Octave]]
 [[Category:Diminished octave]]
-{{todo| expand | improve synopsis }}