28/15: Difference between revisions

(10 intermediate revisions by 8 users not shown)

Line 1:

'''28/15'''

{{Infobox Interval

|2 -1 -~~1 1>~~

| 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]].

~~1080~~.~~5572 cents~~

== Approximation ==

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

[[~~File~~:~~jid_28_15_pluck_adu_dr220.mp3~~]] [[:~~File~~:~~jid_28_15_pluck_adu_dr220.mp3|sound sample~~]] [[Category:~~todo:expand~~]]

== See also ==

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

* [[Gallery of just intervals]]

[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:Octave]]

[[Category:Diminished octave]]

@@ Line 1: / Line 1: @@
-'''28/15'''
+{{Infobox Interval
-|2 -1 -1 1&gt;
+| 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]].
-.5572 cents
+== Approximation ==
+This interval is well approximated by [[10edo]] (9\10).
-[[File:jid_28_15_pluck_adu_dr220.mp3]] [[:File:jid_28_15_pluck_adu_dr220.mp3|sound sample]]      [[Category:todo:expand]]
+{{Interval edo approximation|28/15}}
+== See also ==
+* [[15/14]] – its [[octave complement]]
+* [[Gallery of just intervals]]
+[[Category:Seventh]]
+[[Category:Major seventh]]
+[[Category:Octave]]
+[[Category:Diminished octave]]