28/15: Difference between revisions

Line 4:

| Monzo = 2 -1 -1 1

| Cents = 1080.55719

| Name = septimal ~~diatonic~~ major seventh

| Name = septimal grave major seventh

| Color name =

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

Line 10:

}}

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

'''28/15''' is a [[7-limit]] just 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]].

== 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:Interval]]

[[Category:~~Listen~~]]

[[Category:Ratio]]

[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:Pages with internal sound examples]]

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

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

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

@@ Line 4: / Line 4: @@
 | Monzo = 2 -1 -1 1
 | Cents = 1080.55719
-| Name = septimal diatonic major seventh
+| Name = septimal grave major seventh
 | Color name =
 | FJS name = d8<sup>7</sup><sub>5</sub>
@@ Line 10: / Line 10: @@
 }}
-'''28/15''', the '''septimal diatonic major seventh''', is a [[7-limit]] just interval of about 1080.6 [[cent]]s.
+'''28/15''' is a [[7-limit]] just 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]].
 == 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:Interval]]
-[[Category:Listen]]
+[[Category:Ratio]]
 [[Category:Seventh]]
 [[Category:Major seventh]]
+[[Category:Pages with internal sound examples]]
-[[Category:Todo:expand]]
+{{todo| expand | improve synopsis | add color name }}
-[[Category:Todo:improve synopsis]]
-[[Category:Todo:add color name]]