Lériendil at 15:17, 19 July 2025

2025-07-19T15:17:30Z

← Older revision		Revision as of 15:17, 19 July 2025
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	'''79/64''' is the [[Octave reduction\|octave-reduced]] 79th [[harmonic]]. It is lower than [[5/4]] by the interval of [[80/79]], very nearly the syntonic comma, [[81/80]].		'''79/64''' is the [[Octave reduction\|octave-reduced]] 79th [[harmonic]], which falls into the interval category of [[submajor]] thirds. It is lower than [[5/4]] by the interval of [[80/79]], very nearly the syntonic comma, [[81/80]].

	== Prime 79 ==		== Prime 79 ==

Lériendil: Created page with "{{Infobox Interval | Name = octave-reduced 79th harmonic, septuacesimononal harmonic submajor third | Color name = 79o3 | Sound = }} '''79/64''' is the octave-reduced 79th harmonic. It is lower than 5/4 by the interval of 80/79, very nearly the syntonic comma, 81/80. == Prime 79 == Prime 79 is surprisingly versatile for its size, noting that its neighboring composites: 77, 78, 80, and 81, all belong to the 13-limit. As a resul..."

2025-07-19T15:16:36Z

Created page with "{{Infobox Interval | Name = octave-reduced 79th harmonic, septuacesimononal harmonic submajor third | Color name = 79o3 | Sound = }} '''79/64''' is the octave-reduced 79th harmonic. It is lower than 5/4 by the interval of 80/79, very nearly the syntonic comma, 81/80. == Prime 79 == Prime 79 is surprisingly versatile for its size, noting that its neighboring composites: 77, 78, 80, and 81, all belong to the 13-limit. As a resul..."

New page

{{Infobox Interval
| Name = octave-reduced 79th harmonic, septuacesimononal harmonic submajor third
| Color name = 79o3
| Sound =
}}

'''79/64''' is the [[Octave reduction|octave-reduced]] 79th [[harmonic]]. It is lower than [[5/4]] by the interval of [[80/79]], very nearly the syntonic comma, [[81/80]].

== Prime 79 ==
Prime 79 is surprisingly versatile for its size, noting that its neighboring composites: 77, 78, 80, and 81, all belong to the [[13-limit]]. As a result, some high-accuracy 13-limit structures have a natural route to incorporate prime 79: an example being [[256000/255879|phaotic ({256000/255879})]], where (81/80)<sup>2</sup> is equated to [[40/39]]; naturally this results in 80/79 and [[79/78]] becoming additional interpretations of the syntonic comma, with equating it to [[78/77]] (the comma here being [[2080/2079]]) being another step that can be taken to bridge it to primes 7 and 11.

A notable [[delta-rational chord]] involving prime 79 is 64:79:94, a compressed [[major triad]], involving the subfifth [[47/32]], which is close to that of [[9edo]]. A good approximation of this chord is hence found as [0 11 20]\[[36edo|36]].

== See also ==
* [[Gallery of just intervals]]
* [[128/79]] – its [[octave complement]]


[[Category:Third]]
[[Category:Major third]]
[[Category:Submajor third]]

79/64 - Revision history

Lériendil at 15:17, 19 July 2025