3/1: Difference between revisions
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Perhaps I'm the only one who has a problem with "tritave" but the three names should be listed equal anyway |
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The '''tritave''' | The '''tritave''', '''3rd harmonic''', or '''perfect twelfth''' is the [[interval]] of [[frequency ratio]] '''3/1'''. 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. | ||
== Etymology == | == 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 perceived prefix ''octo-'' (eight, for the eighth degree of the diatonic scale) by ''tri-'' (three, for 3/1). It should be noted, however, that the ''oct'' in ''octave'' is not a prefix, but part of the single-morpheme word derived from Latin ''octavus'' (eighth). | The term ''tritave'' was coined by [[John Pierce]]<ref>[https://www.huygens-fokker.org/bpsite/intervals.html ''The Bohlen-Pierce Site: BP Interval Properties'']</ref>. It was derived from the word ''octave'' by replacing the perceived prefix ''octo-'' (eight, for the eighth degree of the diatonic scale) by ''tri-'' (three, for 3/1). It should be noted, however, that the ''oct'' in ''octave'' is not a prefix, but part of the single-morpheme word derived from Latin ''octavus'' (eighth). | ||
== See also == | == See also == | ||
* [[EDT]] (equal divisions of the tritave) | * [[EDT]] (equal divisions of the tritave/twelfth) | ||
* [[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 | ||
* [[Tritave complement]] – the analogue for [[octave complement]] | * [[Tritave complement]] – the analogue for [[octave complement]] | ||
Revision as of 07:37, 18 February 2023
| Interval information |
3rd harmonic,
perfect twelfth
prime harmonic
[sound info]
The tritave, 3rd harmonic, or perfect twelfth is the interval of frequency ratio 3/1. It is perhaps the most consonant interval after the octave. For this reason, it is used as an equave in some nonoctave systems, such as the Bohlen-Pierce scale.
Etymology
The term tritave was coined by John Pierce[1]. It was derived from the word octave by replacing the perceived prefix octo- (eight, for the eighth degree of the diatonic scale) by tri- (three, for 3/1). It should be noted, however, that the oct in octave is not a prefix, but part of the single-morpheme word derived from Latin octavus (eighth).
See also
- EDT (equal divisions of the tritave/twelfth)
- No-twos 31-limit – non-octave 31-limit system containing neither 2 nor primes higher than 31
- Tritave complement – the analogue for octave complement