40/21: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 40/21
| Name = septimal acute major seventh, small septimal diminished octave
| Monzo = 3 -1 1 -1
| Cents = 1115.53281
| Name = septimal acute major seventh, <br>small septimal diminished octave
| Color name = ry7, ruyo 7th
| Color name = ry7, ruyo 7th
| FJS name = M7<sup>5</sup><sub>7</sub>
| Sound = jid_40_21_pluck_adu_dr220.mp3
| Sound = jid_40_21_pluck_adu_dr220.mp3
}}
}}
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== Terminology ==
== 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]].  
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]].  
== Approximation ==
{{Interval edo approximation|40/21}}


== See also ==
== See also ==
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:7-limit]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Major seventh]]
[[Category:Major seventh]]