Octave (interval region): Difference between revisions

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<span style="display: block; text-align: right;">[[オクターブ|日本語]]</span>
{{Infobox Interval
 
| Icon =
[[File:jid_2_1_pluck_adu_dr220.mp3]] [[:File:jid_2_1_pluck_adu_dr220.mp3|sound info]]
| Ratio = 2/1
| Monzo = 1
| Cents = 1200
| Name = octave
| Sound = jid_2_1_pluck_adu_dr220.mp3
}}
<div style="border: 1px solid black; margin: 0 0 1em 2em; display: block; float: right;">[[オクターブ|日本語]]</div>


The '''octave''' is one of the most basic [[Gallery of Just Intervals|intervals]] found in musical systems throughout the entire world. It is usually called the "interval of equivalence" because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomenon is probably due to the strong region of attraction of low [[Harmonic Entropy|harmonic entropy]], or the strong amplitude of the second [[harmonic]] in most harmonic instruments.
The '''octave''' is one of the most basic [[Gallery of Just Intervals|intervals]] found in musical systems throughout the entire world. It is usually called the "interval of equivalence" because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomenon is probably due to the strong region of attraction of low [[Harmonic Entropy|harmonic entropy]], or the strong amplitude of the second [[harmonic]] in most harmonic instruments.

Revision as of 15:12, 11 October 2018

Interval information
Ratio 2/1
Factorization 2
Monzo [1⟩
Size in cents 1200¢
Name octave
FJS name [math]\displaystyle{ \text{P8} }[/math]
Special properties superparticular,
harmonic,
prime harmonic,
highly composite harmonic
Tenney height (log2 nd) 1
Weil height (log2 max(n, d)) 2
Wilson height (sopfr(nd)) 2

[sound info]
Open this interval in xen-calc
日本語

The octave is one of the most basic intervals found in musical systems throughout the entire world. It is usually called the "interval of equivalence" because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomenon is probably due to the strong region of attraction of low harmonic entropy, or the strong amplitude of the second harmonic in most harmonic instruments.

It has a frequency ratio of 2/1 and a size of 1200 cents. It is used as the standard of (logarithmic) measurement for all intervals, regardless if they are justly tuned or not.

Strangely enough, the Pelog and Slendro scales of the Javanese contain near-octaves even though Gamelan instruments exhibit inharmonic spectra. It is most likely reminiscent of an older musical system, or derived using the human voice instead of inharmonic instruments.

Links

See also

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