28/15: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

~~| Ratio = 28/15~~

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

~~| Cents = 1080.55719~~

| Name = septimal grave major seventh

| Color name =

| Color name = zg8, zogu octave

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

| Sound = jid_28_15_pluck_adu_dr220.mp3

}}

'''28/15''' is a [[7-limit]] just interval of about 1080.6 [[cent]]s. It is well approximated by [[10edo]] (9\10).

'''28/15''' is a [[7-limit]] [[just intonation]] interval of about 1080.6 [[cent]]s. It 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]].

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]].

== Approximation ==

== See also ==

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* [[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]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
-| Ratio = 28/15
-| Monzo = 2 -1 -1 1
-| Cents = 1080.55719
 | Name = septimal grave major seventh
-| Color name =
+| Color name = zg8, zogu octave
-| FJS name = d8<sup>7</sup><sub>5</sub>
 | Sound = jid_28_15_pluck_adu_dr220.mp3
 }}
-'''28/15''' is a [[7-limit]] just interval of about 1080.6 [[cent]]s. It is well approximated by [[10edo]] (9\10).
+'''28/15''' is a [[7-limit]] [[just intonation]] interval of about 1080.6 [[cent]]s. It 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]].
+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]].
+== Approximation ==
+{{Interval edo approximation|28/15}}
 == See also ==
@@ Line 19: / Line 16: @@
 * [[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 }}
+{{todo|improve synopsis}}