22/15: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = undecimal diminished fifth, undecimal acute ultra-diminished fifth | |||
| Color name = 1og5, logu 5th | |||
| Name = undecimal diminished fifth | |||
| Color name = | |||
| Sound = jid_22_15_pluck_adu_dr220.mp3 | | Sound = jid_22_15_pluck_adu_dr220.mp3 | ||
}} | }} | ||
The '''undecimal diminished fifth''' of '''22/15''' is flat of [[3/2]] by [[45/44]], and is the interval between [[5/4]] and [[11/6]]. | The '''undecimal diminished fifth''' of '''22/15''' is flat of [[3/2]] by [[45/44]], and is the interval between [[5/4]] and [[11/6]]. It is wider than [[16/11]] by exactly [[121/120]] and narrower than [[40/27]] by exactly [[100/99]]. Additionally, it is wider than [[352/243]] by exactly [[81/80]], which lends to it being called the '''undecimal acute ultra-diminished fifth'''. | ||
5 steps of [[9edo]] is a good approximation of this interval. | 5 steps of [[9edo]] is a good approximation of this interval. | ||
== See also == | == See also == | ||
* [[15/11]] – its [[octave complement]] | |||
* [[45/44]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fifth]] | [[Category:Fifth]] | ||
[[Category:Subfifth]] | [[Category:Subfifth]] | ||
Latest revision as of 01:01, 4 December 2022
Interval information |
undecimal acute ultra-diminished fifth
[sound info]
The undecimal diminished fifth of 22/15 is flat of 3/2 by 45/44, and is the interval between 5/4 and 11/6. It is wider than 16/11 by exactly 121/120 and narrower than 40/27 by exactly 100/99. Additionally, it is wider than 352/243 by exactly 81/80, which lends to it being called the undecimal acute ultra-diminished fifth. 5 steps of 9edo is a good approximation of this interval.