3/1: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 3/1 | | Ratio = 3/1 | ||
| Name = | | Name = 3rd harmonic, tritave, perfect twelfth | ||
| Color name = w12, wa 12th | | Color name = w12, wa 12th | ||
| Sound = jid_3_1_pluck_adu_dr220.mp3 | | Sound = jid_3_1_pluck_adu_dr220.mp3 | ||
}} | }} | ||
The ''' | The '''3rd harmonic''', '''tritave''', 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 ''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). | 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"). | ||
== See also == | == See also == | ||
Revision as of 14:17, 12 May 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").
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