75/56: Difference between revisions

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| Name = marvelous fourth
| Name = marvelous fourth
| Color name = ryy3, ruyoyo 3rd
| Color name = ryy3, ruyoyo 3rd
| Sound = jid_75_56_pluck_adu_dr220.mp3
| Sound = Ji 75-56-csound-foscil-220hz.mp3
}}
}}


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== See also ==
== See also ==
* [[:File:jid_75_56_pluck_adu_dr220.mp3]]
* [[112/75]] - its [[octave complement]]
* [[112/75]] - its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 18:39, 27 October 2018

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