Octave: Difference between revisions

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{{Infobox interval|2/1|Name=octave}}
{{Infobox interval|2/1|Name=octave}}
The '''octave''' is the most consonant interval, with a ratio of 2/1 and a size of 1200 cents by definition. It is the most common [[Glossary#Equave|interval of equivalence]], as patterns of consonance often roughly repeat at octaves up or down. Additionally, most scales repeat at an octave or a logarithmic fraction thereof. The octave is also useful as a measure of logarithmic size of intervals.
The '''octave''' is the most consonant interval, with a ratio of 2/1 and a size of 1200 cents by definition. It is the most common [[Glossary#Equave|interval of equivalence]], as patterns of consonance often roughly repeat at octaves up or down. Additionally, most scales repeat at an octave or a logarithmic fraction thereof. The octave is also useful as a measure of logarithmic size of intervals.
{{Interval regions}}


{{Cat|Intervals}}
{{Cat|Intervals}}

Latest revision as of 10:23, 6 March 2026

Interval information
Ratio 2/1
Factorization 2
Monzo [1⟩
Size in cents 1200¢
Name octave
Special properties superparticular,
harmonic,
prime harmonic,
highly composite harmonic
Harmonic distance (log2 nd) 1
Wilson norm (sopfr(nd)) 2
Open this interval in xen-calc


The octave is the most consonant interval, with a ratio of 2/1 and a size of 1200 cents by definition. It is the most common interval of equivalence, as patterns of consonance often roughly repeat at octaves up or down. Additionally, most scales repeat at an octave or a logarithmic fraction thereof. The octave is also useful as a measure of logarithmic size of intervals.


ViewTalkEditIntervals 
Interval categories
Diatonic ordinals UnisonSecond (majorneutralminor) • Third (majorneutralminor) • FourthFifthSixth (majorneutralminor) • Seventh (majorneutralminor) • Octave
Other interval categories DiesisSemitoneWhole toneInterordinal intervals (chthonicnaiadiccocyticouranic) • Tritone
Just intonation
Pythagorean Perfect fifthPerfect fourthDiatonic major secondDiatonic minor seventhTritaveothers
5-limit 5/45/36/516/1525/24others
7-limit 7/48/77/69/77/549/48others
Alpharabian 11/811/912/11others
Full 11-limit 11/1014/1111/7others
2.3.13/5 13/1015/1326/1520/13others
Full 13-limit 16/1313/813/1113/913/7others
Higher limits 17/1618/1719/1619/1524/1923/16others