3/1: Difference between revisions

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reworked, still something to do, interesting article suggested
Xenwolf (talk | contribs)
1/3 information included, still more todo
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| Monzo = 0 1
| Monzo = 0 1
| Cents = 1901.95500
| Cents = 1901.95500
| Name = tritave
| Name = tritave, third harmonic
| Color name =  
| Color name =  
| Sound = jid_3_1_pluck_adu_dr220.mp3
| Sound = jid_3_1_pluck_adu_dr220.mp3
}}
}}
'''Tritave''' is another name of the 3rd [[partial tone]], the interval with the [[frequency ratio]] of [[3/1|3:1]].  
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 [[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''.
 


== See also ==
== See also ==

Revision as of 12:09, 13 June 2020

Interval information
Ratio 3/1
Factorization 3
Monzo [0 1
Size in cents 1901.955¢
Names tritave,
third harmonic
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