3/1: Difference between revisions

Line 5:

| Cents = 1901.95500

| Name = tritave, <br>3rd harmonic, <br>perfect twelfth

| Color name =

| Color name = w12, wa 12th

| Sound = jid_3_1_pluck_adu_dr220.mp3

}}

The '''~~third harmonic~~''' or '''~~tritave~~''' is ~~another name of~~ the 3rd [[~~partial tone~~]]~~, the~~ interval ~~with~~ the [[~~frequency ratio~~]] ~~of '''3/1'''~~, ~~one octave above~~ [[~~3/2~~]].

The '''tritave''' (interval [[ratio]] '''3/1''') is the [[interval]] between a fundamental tone and its '''3rd harmonic'''. It is perhaps the most [[consonance|consonant]] interval after the [[octave]]. For this reason, it is used as an [[equave]] in some [[nonoctave]] systems, such as the [[Bohlen-Pierce]] scale.

It is ~~perhaps the most~~ [[~~consonance|consonant]] [[interval]] larger than an [[octave~~]]. ~~Used as an [[interval of equivalence]]~~ in ~~some~~ [[~~nonoctave~~]] ~~systems~~, ~~such as~~ [[~~Bohlen-~~Pierce]], ~~where it may be referred to as~~ the ''~~tritave~~''.

The tritave is one octave above [[3/2]], the perfect fifth. Therefore, in a [[5L 2s|diatonic]] context, 3/1 is also called the '''perfect twelfth'''.

== Etymology ==

The term ''tritave'' was coined by [[John Pierce]]<ref>https://www.huygens-fokker.org/bpsite/intervals.html</ref>. It was derived from the word ''octave'' by replacing the prefix ''octo-'' (eight, for 8 notes in an octave span of the diatonic scale) by ''tri-'' (three, for 3/1).

== See also ==

* [[EDT]] ~~-- systems dividing~~ the tritave ~~equally, see.~~

* [[EDT]] (equal divisions of the tritave)

* [[Bohlen-Pierce]] -- systems with the tritave as the just fundamental harmonic

* [[No-twos 31-limit]] -- non-octave 31-limit system containing neither 2 nor primes higher than 31

* [[3/2]] - the just perfect fifth as the [[octave reduced]] counterpart of the tritave

* [[Tritave complement]] -- the analogue for [[octave complement]]

== References ==

[[Category:Tritave| ]]

[[Category:Harmonics]]

[[Category:Terms]]

~~[[Category:Definition]]~~

~~[[Category:Tritave| ]] ~~

~~[[Category:Just interval]]~~

~~[[Category:Partial tone]]~~

[[Category:Todo:expand]]

@@ Line 5: / Line 5: @@
 | Cents = 1901.95500
 | Name = tritave, <br>3rd harmonic, <br>perfect twelfth
-| Color name =
+| Color name = w12, wa 12th
 | Sound = jid_3_1_pluck_adu_dr220.mp3
 }}
-The '''third harmonic''' or '''tritave''' is another name of the 3rd [[partial tone]], the interval with the [[frequency ratio]] of '''3/1''', one octave above [[3/2]].
+The '''tritave''' (interval [[ratio]] '''3/1''') is the [[interval]] between a fundamental tone and its '''3rd harmonic'''. It is perhaps the most [[consonance|consonant]] interval after the [[octave]]. For this reason, it is used as an [[equave]] in some [[nonoctave]] systems, such as the [[Bohlen-Pierce]] scale.
-It is perhaps the most [[consonance|consonant]] [[interval]] larger than an [[octave]]. Used as an [[interval of equivalence]] in some [[nonoctave]] systems, such as [[Bohlen-Pierce]], where it may be referred to as the ''tritave''.
+The tritave is one octave above [[3/2]], the perfect fifth. Therefore, in a [[5L 2s|diatonic]] context, 3/1 is also called the '''perfect twelfth'''.
+== Etymology ==
+The term ''tritave'' was coined by [[John Pierce]]<ref>https://www.huygens-fokker.org/bpsite/intervals.html</ref>. It was derived from the word ''octave'' by replacing the prefix ''octo-'' (eight, for 8 notes in an octave span of the diatonic scale) by ''tri-'' (three, for 3/1).
 == See also ==
-* [[EDT]] -- systems dividing the tritave equally, see.
+* [[EDT]] (equal divisions of the tritave)
-* [[Bohlen-Pierce]] -- systems with the tritave as the just fundamental harmonic
 * [[No-twos 31-limit]] -- non-octave 31-limit system containing neither 2 nor primes higher than 31
-* [[3/2]] - the just perfect fifth as the [[octave reduced]] counterpart of the tritave
 * [[Tritave complement]] -- the analogue for [[octave complement]]
+== References ==
+<references />
+[[Category:Tritave| ]] <!-- main article -->
+[[Category:Harmonics]]
 [[Category:Terms]]
-[[Category:Definition]]
-[[Category:Tritave| ]] <!-- main article -->
-[[Category:Just interval]]
-[[Category:Partial tone]]
 [[Category:Todo:expand]]