3/1: Difference between revisions
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"). 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>. | 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 enneatonic [[4L 5s (3/1-equivalent)|lambda scale]] is the BP substitute for the diatonic scale, the term ''decade'' (tenth degree of the Lambds scale) has been proposed as an alternative to tritave<ref>https://www.youtube.com/watch?v=Ur6GOoSNGN0</ref>. | ||
== See also == | == See also == | ||
Revision as of 03:13, 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 enneatonic lambda scale is the BP substitute for the diatonic scale, the term decade (tenth degree of the Lambds scale) 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