28/15: Difference between revisions

(8 intermediate revisions by 7 users not shown)

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 grave 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''' is a [[7-limit]] just~~ 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 [[Functional Just System]], viewed as the [[4096/2187|Pythagorean diminished octave (4096/2187)]] altered by [[5120/5103]].

== See also ==

Line 19:

Line 15:

* [[Gallery of just intervals]]

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

~~[[Category:Interval]]~~

~~[[Category:Ratio]]~~

[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:~~Pages with internal sound examples~~]]

[[Category:Octave]]

[[Category:Diminished octave]]

~~{{todo| expand | improve synopsis | 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 grave 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''' is a [[7-limit]] just 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 [[Functional Just System]], viewed as the [[4096/2187|Pythagorean diminished octave (4096/2187)]] altered by [[5120/5103]].
 == See also ==
@@ Line 19: / Line 15: @@
 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
-[[Category:Ratio]]
 [[Category:Seventh]]
 [[Category:Major seventh]]
-[[Category:Pages with internal sound examples]]
+[[Category:Octave]]
+[[Category:Diminished octave]]
-{{todo| expand | improve synopsis | add color name }}