3/1: Difference between revisions

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| Monzo = 0 1
| Monzo = 0 1
| Cents = 1901.95500
| Cents = 1901.95500
| Name = tritave, third harmonic, Perfect Twelfth
| Name = tritave, <br>3rd harmonic, <br>perfect twelfth
| Color name =  
| Color name =  
| Sound = jid_3_1_pluck_adu_dr220.mp3
| Sound = jid_3_1_pluck_adu_dr220.mp3
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== See also ==
== See also ==
 
* [[EDT]] -- systems dividing the tritave equally, see.
* [[edt]] -- systems dividing the tritave equally, see.
* [[Bohlen-Pierce]] -- systems with the tritave as the just fundamental harmonic
* [[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
* [[No-twos 31-limit]] -- non-octave 31-limit system containing neither 2 nor primes higher than 31

Revision as of 11:40, 9 September 2021

Interval information
Ratio 3/1
Factorization 3
Monzo [0 1
Size in cents 1901.955¢
Names tritave,
3rd harmonic,
perfect twelfth
FJS name [math]\displaystyle{ \text{P12} }[/math]
Special properties harmonic,
prime harmonic
Tenney norm (log2 nd) 1.58496
Weil norm (log2 max(n, d)) 3.16993
Wilson norm (sopfr(nd)) 3

[sound info]
Open this interval in xen-calc

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.

It is perhaps the most 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.

See also