21/11: Difference between revisions
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Rework; +"pentacircle major seventh" and reasons |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = large undecimal diminished octave, undecimal major seventh, pentacircle major seventh | |||
| Color name = 1uz8, luzo 8ve | |||
| Name = large undecimal diminished octave, | |||
| Color name = | |||
| Sound = jid_21_11_pluck_adu_dr220.mp3 | | Sound = jid_21_11_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''21/11''', commonly known as the '''large undecimal diminished octave''', is an [[11-limit]] interval, and the octave complement of [[22/21]]. | |||
In many notation systems (e.g. [[FJS]], [[HEJI]]), it is an imperfect octave, as it is the octave minus a stack consisting of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]]. However, it is only sharp of the [[243/128|Pythagorean major seventh (243/128)]] by a [[896/891|pentacircle comma (896/891)]]. For this reason it could be called the '''pentacircle major seventh'''. | |||
Of note is that the Huygens-Fokker Foundation dubs this interval the '''undecimal major seventh''', which also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave. | |||
== See also == | == See also == | ||
* [[22/21]] – its [[octave complement]] | * [[22/21]] – its [[octave complement]] | ||
[[Category: | [[Category:Octave]] | ||
[[Category: | [[Category:Diminished octave]] | ||
[[Category:Seventh]] | |||
[[Category: | [[Category:Major seventh]] | ||
[[Category:Over-11 intervals]] | |||
Latest revision as of 08:41, 25 October 2024
| Interval information |
undecimal major seventh,
pentacircle major seventh
[sound info]
21/11, commonly known as the large undecimal diminished octave, is an 11-limit interval, and the octave complement of 22/21.
In many notation systems (e.g. FJS, HEJI), it is an imperfect octave, as it is the octave minus a stack consisting of an undecimal quartertone (33/32) and a septimal comma (64/63), neither of which changes the scale degree or quality. However, it is only sharp of the Pythagorean major seventh (243/128) by a pentacircle comma (896/891). For this reason it could be called the pentacircle major seventh.
Of note is that the Huygens-Fokker Foundation dubs this interval the undecimal major seventh, which also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave.
See also
- 22/21 – its octave complement