3/1: Difference between revisions
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CompactStar (talk | contribs) I had found some video saying "decade" was also proposed |
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== Etymology == | == Etymology == | ||
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 [[Wiktionary: octavus #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 [[Wiktionary: octavus #Latin|''octavus'']] ("eighth"). Since the [[4L 5s (3/1-equivalent)|lambda scale]] is the BP substitute for the diatonic scale, the term ''decade'' has been proposed as an alternative to tritave<ref>https://www.youtube.com/watch?v=Ur6GOoSNGN0</ref>. | ||
== See also == | == See also == | ||
Revision as of 03:12, 6 July 2023
| Interval information |
tritave,
perfect twelfth
prime harmonic
[sound info]
The 3rd harmonic, tritave, 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"). Since the lambda scale is the BP substitute for the diatonic scale, the term decade has been proposed as an alternative to tritave[2].
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