40/21: Difference between revisions

Line 4:

| Monzo = 3 -1 1 -1

| Cents = 1115.53281

| Name = acute major seventh, small septimal diminished octave

| Name = septimal acute major seventh, small septimal diminished octave

| Color name =

| FJS name = M757

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}}

'''40/21''', the '''acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents. Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the "'''small septimal diminished octave'''" by some musicians due to analogy with [[21/20]] being called the "large septimal chroma", 40/21 is a major seventh in ~~both~~ [[Helmholtz-Ellis notation]] and [[Functional Just System]] ~~because it is sharp of~~ the [[243/128|Pythagorean major seventh (243/128)]] by [[5120/5103]].

'''40/21''', the '''septimal acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents.

== Terminology ==

Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the '''small septimal diminished octave''' by some musicians due to analogy with [[21/20]] being called the "large septimal chroma", 40/21 is a major seventh in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the [[243/128|Pythagorean major seventh (243/128)]] altered by [[5120/5103]].

== See also ==

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[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:Pages with internal sound examples]]

@@ Line 4: / Line 4: @@
 | Monzo = 3 -1 1 -1
 | Cents = 1115.53281
-| Name = acute major seventh, <br>small septimal diminished octave
+| Name = septimal acute major seventh, <br>small septimal diminished octave
 | Color name =
 | FJS name = M7<sup>5</sup><sub>7</sub>
@@ Line 10: / Line 10: @@
 }}
-'''40/21''', the '''acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents. Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the "'''small septimal diminished octave'''" by some musicians due to analogy with [[21/20]] being called the "large septimal chroma", 40/21 is a major seventh in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[5120/5103]].
+'''40/21''', the '''septimal acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents.
+== Terminology ==
+Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the '''small septimal diminished octave''' by some musicians due to analogy with [[21/20]] being called the "large septimal chroma", 40/21 is a major seventh in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the [[243/128|Pythagorean major seventh (243/128)]] altered by [[5120/5103]].
 == See also ==
@@ Line 20: / Line 23: @@
 [[Category:Seventh]]
 [[Category:Major seventh]]
+[[Category:Pages with internal sound examples]]