5/4: Difference between revisions
Change name from "just" to "classic" in accordance with others |
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|" |
||
| (24 intermediate revisions by 14 users not shown) | |||
| Line 1: | Line 1: | ||
{{interwiki | |||
| de = Naturterz | |||
| en = 5/4 | |||
| es = | |||
| ja = | |||
| ro = 5/4 (ro) | |||
}} | |||
{{Infobox Interval | {{Infobox Interval | ||
| Name = just major third, classic(al) major third, ptolemaic major third | |||
| Name = classic major third | |||
| Color name = y3, yo 3rd | | Color name = y3, yo 3rd | ||
| Sound = jid_5_4_pluck_adu_dr220.mp3 | | Sound = jid_5_4_pluck_adu_dr220.mp3 | ||
}} | }} | ||
{{Wikipedia|Major third}} | |||
In [[5-limit]] [[just intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th [[harmonic]]s. It has been called the '''just major third''', '''classic(al) major third''', or '''ptolemaic major third'''<ref>For reference, see [[5-limit]].</ref> to distinguish it from other intervals in that neighborhood. Measuring about 386.3 [[cent|¢]], it is about 13.7{{c}} away from [[12edo]]'s major third of 400{{c}}. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5{{c}}, and from the Pythagorean diminished fourth of [[8192/6561]] by the [[schisma]], which measures about 1.95{{c}}. 81/64 and 5/4 are both just intonation "major thirds", 81/64 having a more active and discordant quality, 5/4 sounding more "restful". | |||
In | In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated in [[:File: 5-4.mp3]] melodically in singing into a resonant [[udderbot]] (from the fundamental up to 5 and then noodling between 5 and 4). | ||
== Approximations by edos == | |||
Following [[edo]]s (up to 200) contain good approximations<ref>error magnitude below 7, both, absolute (in ¢) and relative (in r¢)</ref> of the interval 5/4. | |||
{{Interval edo approximation|interval = 5/4| max_edo=200}} | |||
== See also == | == See also == | ||
* [[8/5]] – its [[octave complement]] | * [[8/5]] – its [[octave complement]] | ||
* [[6/5]] – its [[fifth complement]] | * [[6/5]] – its [[fifth complement]] | ||
* [[5/2]] – the interval | * [[16/15]] – its [[fourth complement]] | ||
* [[ | * [[5/2]] – the interval up one [[octave]] which sounds even more [[consonant]] | ||
* [[ | * [[Ed5/4]] | ||
* [[ | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | |||
== Notes == | |||
<references/> | |||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Major third]] | [[Category:Major third]] | ||