16/15: Difference between revisions

Line 4:

| Monzo = 4 -1 -1

| Cents = 111.73129

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

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

| Color name = g2, gu 2nd

| FJS name = m2<sub>5</sub>

| Sound = jid_16_15_pluck_adu_dr220.mp3

}}

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]].

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]].

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~~]]

* [[15/8]] – its [[octave complement]]

* [[45/32]] – its [[fifth complement]]

* [[Gallery of just intervals]]

Line 21:

Line 23:

[[Category:Just interval]]

[[Category:Ratio]]

[[Category:~~Sound example~~]]

[[Category:Listen]]

[[Category:Second]]

[[Category:Semitone]]

[[Category:Superparticular]]

[[Category:Subharmonic]]

@@ Line 4: / Line 4: @@
 | Monzo = 4 -1 -1
 | Cents = 111.73129
-| Name = diatonic semitone, <br/> classic minor second
+| Name = diatonic semitone, <br>classic minor second
 | Color name = g2, gu 2nd
+| FJS name = m2<sub>5</sub>
 | Sound = jid_16_15_pluck_adu_dr220.mp3
 }}
-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]].
+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]].
 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]]
+* [[15/8]] – its [[octave complement]]
+* [[45/32]] – its [[fifth complement]]
 * [[Gallery of just intervals]]
@@ Line 21: / Line 23: @@
 [[Category:Just interval]]
 [[Category:Ratio]]
-[[Category:Sound example]]
+[[Category:Listen]]
+[[Category:Second]]
 [[Category:Semitone]]
 [[Category:Superparticular]]
 [[Category:Subharmonic]]