16/15: Difference between revisions

Line 1:

~~'''~~16/15~~'''~~

{{Infobox Interval

|4 -1 -1~~>~~

| Icon =

| Ratio = 16/15

| Monzo = 4 -1 -1

| Cents = 111.73129

| Name = diatonic semitone, <br/> classic minor second

| Color name = g2, gu 2nd

| Sound = jid_16_15_pluck_adu_dr220.mp3

}}

~~111~~.~~73129 cents~~

The [[5-limit]] just diatonic semitone is the [[superparticular]] interval '''16/15''' -- the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]].

[[~~File:jid_16_15_pluck_adu_dr220.mp3~~]] [[~~:File:jid_16_15_pluck_adu_dr220.mp3|sound sample~~]]

When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become [[octave-inverses]] of each other.

== See also ==

* [[15/8]] its [[inverse interval]]

* [[Gallery of Just Intervals]]

When this ratio is taken as a comma to be tempered, it produces [[Father|father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.

[[Category:5-limit]]

[[Category:interval]]

[[Category:Interval]]

[[Category:~~just_interval~~]]

[[Category:Just interval]]

[[Category:~~ratio~~]]

[[Category:Ratio]]

[[Category:~~semitone~~]]

[[Category:Sound example]]

[[Category:Semitone]]

[[Category:Superparticular]]

@@ Line 1: / Line 1: @@
-'''16/15'''
+{{Infobox Interval
-|4 -1 -1&gt;
+| Icon =
+| Ratio = 16/15
+| Monzo = 4 -1 -1
+| Cents = 111.73129
+| Name = diatonic semitone, <br/> classic minor second
+| Color name = g2, gu 2nd
+| Sound = jid_16_15_pluck_adu_dr220.mp3
+}}
-.73129 cents
+The [[5-limit]] just diatonic semitone is the [[superparticular]] interval '''16/15''' -- the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]].
-[[File:jid_16_15_pluck_adu_dr220.mp3]] [[:File:jid_16_15_pluck_adu_dr220.mp3|sound sample]]
+When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become [[octave-inverses]] of each other.
-The 5-limit just diatonic semitone is the [[superparticular|superparticular]] interval 16/15 -- the difference between the major third [[5/4|5/4]] and the fourth [[4/3|4/3]], and between [[3/2|3/2]] and [[8/5|8/5]].
+== See also ==
+* [[15/8]] its [[inverse interval]]
+* [[Gallery of Just Intervals]]
-When this ratio is taken as a comma to be tempered, it produces [[Father|father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.
 [[Category:5-limit]]
-[[Category:interval]]
+[[Category:Interval]]
-[[Category:just_interval]]
+[[Category:Just interval]]
-[[Category:ratio]]
+[[Category:Ratio]]
-[[Category:semitone]]
+[[Category:Sound example]]
+[[Category:Semitone]]
+[[Category:Superparticular]]