75/56: Difference between revisions

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'''75/56'''
{{Infobox Interval
|-3 1 2 -1>
| Name = marvelous fourth
| Color name = ryy3, ruyoyo 3rd
| Sound = Ji 75-56-csound-foscil-220hz.mp3
}}
'''75/56''', the '''marvelous fourth''' (505.8{{cent}}), is [[225/224]] (7.7{{cent}}) sharp of the just fourth [[4/3]]. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the [[19edo]] fourth of 8\19. Considered as a [[meantone]] fourth, it is approximately 5/14-comma meantone.


505.7565 cents
== See also ==
* [[:File:jid_75_56_pluck_adu_dr220.mp3]] – another sound example
* [[112/75]] - its [[octave complement]]
* [[Gallery of just intervals]]


[[File:jid_75_56_pluck_adu_dr220.mp3]] [[:File:jid_75_56_pluck_adu_dr220.mp3|sound sample]]
[[Category:Fourth]]
 
[[Category:Marvel]]
75/56, the marvelous fourth (505.8¢), is 225/224 (7.7¢) sharp of the just fourth [[4/3|4/3]]. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the [[19edo|19edo]] fourth of 8\19. Considered as a [[Meantone|meantone]] fourth, it is approximately 5/14-comma meantone.

Latest revision as of 16:52, 25 October 2022

Interval information
Ratio 75/56
Factorization 2-3 × 3 × 52 × 7-1
Monzo [-3 1 2 -1⟩
Size in cents 505.7565¢
Name marvelous fourth
Color name ryy3, ruyoyo 3rd
FJS name [math]\displaystyle{ \text{A3}^{5,5}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.0362
Weil norm (log2 max(n, d)) 12.4576
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

75/56, the marvelous fourth (505.8 ¢), is 225/224 (7.7 ¢) sharp of the just fourth 4/3. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the 19edo fourth of 8\19. Considered as a meantone fourth, it is approximately 5/14-comma meantone.

See also

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