28/15: Difference between revisions
Jump to navigation
Jump to search
introduced infobox, added some information and cats |
Replace "diatonic" by "grave" by analogy to 40/21 being called "acute" ("diatonic" here doesn't make any sense), and move this suboptimal name to the terminology section |
||
| Line 4: | Line 4: | ||
| Monzo = 2 -1 -1 1 | | Monzo = 2 -1 -1 1 | ||
| Cents = 1080.55719 | | Cents = 1080.55719 | ||
| Name = septimal | | Name = septimal grave major seventh | ||
| Color name = | | Color name = | ||
| FJS name = d8<sup>7</sup><sub>5</sub> | | FJS name = d8<sup>7</sup><sub>5</sub> | ||
| Line 10: | Line 10: | ||
}} | }} | ||
'''28/15''', the '''septimal | '''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 == | == See also == | ||
* [[15/14]] – its [[octave complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Interval | [[Category:Interval]] | ||
[[Category: | [[Category:Ratio]] | ||
[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Major seventh]] | [[Category:Major seventh]] | ||
[[Category:Pages with internal sound examples]] | |||
{{todo| expand | improve synopsis | add color name }} | |||
Revision as of 16:23, 10 April 2021
| Interval information |
[sound info]
28/15 is a 7-limit just interval of about 1080.6 cents. 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 Pythagorean diminished octave (4096/2187) altered by 5120/5103.