22/15: Difference between revisions

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{{Infobox Interval

~~| Ratio = 22/15~~

| Name = undecimal diminished fifth, undecimal acute ultra-diminished fifth

~~| Monzo = 1 -1 -1 0 1~~

| Color name = 1og5, logu 5th

~~| Cents = 663.04923~~

| Name = undecimal diminished fifth, ~~ ~~ undecimal acute ultra-diminished fifth

| Color name =

~~| FJS name = d5115~~

| 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]]. It is wider than [[16/11]] by exactly [[121/120]] and narrower than [[40/27]] by exactly [[100/99]]. ~~More importantly~~, it is wider than [[352/243]] by exactly [[81/80]], which lends to it being called the '''undecimal acute ultra-diminished fifth'''.

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.

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* [[Gallery of just intervals]]

~~[[Category:11-limit]]~~

[[Category:Fifth]]

[[Category:Subfifth]]

~~{{todo|expand|add color name}}~~

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 {{Infobox Interval
-| Ratio = 22/15
+| Name = undecimal diminished fifth, undecimal acute ultra-diminished fifth
-| Monzo = 1 -1 -1 0 1
+| Color name = 1og5, logu 5th
-| Cents = 663.04923
-| Name = undecimal diminished fifth, <br> undecimal acute ultra-diminished fifth
-| Color name =
-| FJS name = d5<sup>11</sup><sub>5</sub>
 | 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]].  It is wider than [[16/11]] by exactly [[121/120]] and narrower than [[40/27]] by exactly [[100/99]].  More importantly, it is wider than [[352/243]] by exactly [[81/80]], which lends to it being called the '''undecimal acute ultra-diminished fifth'''.
+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'''.
 steps of [[9edo]] is a good approximation of this interval.
@@ Line 17: / Line 13: @@
 * [[Gallery of just intervals]]
-[[Category:11-limit]]
 [[Category:Fifth]]
 [[Category:Subfifth]]
-{{todo|expand|add color name}}