3/1: Difference between revisions

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reworked, still something to do, interesting article suggested
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'''Tritave''' is another name of the 3rd [[partial_tone|partial tone]], the interval with the [[frequency_ratio|frequency ratio]] of [[3/1|3:1]].  
{{Infobox Interval
| Icon =
| Ratio = 3/1
| Monzo = 0 1
| Cents = 1901.95500
| Name = tritave
| Color name =
| 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]].  


[[File:jid_3_1_pluck_adu_dr220.mp3]] [[:File:jid_3_1_pluck_adu_dr220.mp3|sound sample]]  
== See also ==
 
* [[edt]] -- systems dividing the tritave equally, see.
* [[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]]


== See also ==
For systems dividing the tritave equally, see [[edt|edt]].


For systems with the tritave as the just fundamental harmonic, see [[Bohlen-Pierce]] and [[No-twos 31-limit]].
[[Category:Term]]
[[Category:Definition]]
[[Category:Tritave| ]] <!-- main article -->
[[Category:Just interval]]
[[Category:Partial tone]]


[[Category:definition]]
[[Category:Todo:expand]]
[[Category:Tritave|!]]
[[Category:just_interval]]
[[Category:partial_tone]]

Revision as of 11:58, 13 June 2020

Interval information
Ratio 3/1
Factorization 3
Monzo [0 1
Size in cents 1901.955¢
Name tritave
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

Tritave is another name of the 3rd partial tone, the interval with the frequency ratio of 3:1.

See also